Miroslav Kolesik
- Professor, Optical Sciences
- Member of the Graduate Faculty
Contact
- (520) 621-4602
- Meinel Optical Sciences, Rm. 538
- Tucson, AZ 85721
- kolesik@acms.arizona.edu
Bio
No activities entered.
Interests
No activities entered.
Courses
2024-25 Courses
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Nonlinear light-matter interac
OPTI 551 (Spring 2025) -
The Beam Propagation Method
OPTI 547 (Fall 2024) -
Thesis
OPTI 910 (Fall 2024)
2023-24 Courses
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Nonlinear light-matter interac
OPTI 551 (Spring 2024) -
Thesis
OPTI 910 (Spring 2024) -
The Beam Propagation Method
OPTI 547 (Fall 2023) -
Thesis
OPTI 910 (Fall 2023)
2022-23 Courses
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Dissertation
OPTI 920 (Spring 2023) -
Dissertation
PHYS 920 (Spring 2023) -
Nonlinear light-matter interac
OPTI 551 (Spring 2023) -
Dissertation
OPTI 920 (Fall 2022)
2021-22 Courses
-
Dissertation
OPTI 920 (Spring 2022) -
Dissertation
PHYS 920 (Spring 2022) -
Master's Report
OPTI 909 (Spring 2022) -
Physical Optics II
OPTI 330 (Spring 2022) -
Dissertation
OPTI 920 (Fall 2021) -
Dissertation
PHYS 920 (Fall 2021) -
The Beam Propagation Method
OPTI 547 (Fall 2021) -
Thesis
OPTI 910 (Fall 2021)
2020-21 Courses
-
Dissertation
OPTI 920 (Spring 2021) -
Master's Report
OPTI 909 (Spring 2021) -
Nonlinear light-matter interac
OPTI 551 (Spring 2021) -
Dissertation
OPTI 920 (Fall 2020) -
The Beam Propagation Method
OPTI 547 (Fall 2020) -
Thesis
OPTI 910 (Fall 2020)
2019-20 Courses
-
Master's Report
OPTI 909 (Spring 2020) -
Physical Optics I
OPTI 210 (Spring 2020) -
The Beam Propagation Method
OPTI 547 (Fall 2019)
2018-19 Courses
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Directed Graduate Research
OPTI 792 (Spring 2019) -
Physical Optics I
OPTI 210 (Spring 2019) -
Directed Graduate Research
OPTI 792 (Fall 2018) -
Physical Optics I
OPTI 310 (Fall 2018) -
The Beam Propagation Method
OPTI 547 (Fall 2018)
2017-18 Courses
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Dissertation
OPTI 920 (Spring 2018) -
Independent Study
OPTI 599 (Spring 2018) -
Dissertation
OPTI 920 (Fall 2017) -
Mathematical Optics Lab
OPTI 512L (Fall 2017) -
Physical Optics I
OPTI 310 (Fall 2017)
2016-17 Courses
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Independent Study
OPTI 599 (Summer I 2017) -
Dissertation
OPTI 920 (Spring 2017) -
Independent Study
OPTI 599 (Spring 2017) -
Thesis
OPTI 910 (Spring 2017) -
Dissertation
OPTI 920 (Fall 2016) -
Physical Optics I
OPTI 310 (Fall 2016) -
Thesis
OPTI 910 (Fall 2016)
2015-16 Courses
-
Dissertation
OPTI 920 (Spring 2016) -
The Beam Propagation Method
OPTI 547 (Spring 2016)
Scholarly Contributions
Chapters
- Panagiotopoulos, P., Whalen, P. T., Kolesik, M., & Moloney, J. V. (2016). Numerical Simulation of Ultra-Short Laser Pulses. In Laser Filamentation(pp 185--213). Springer International Publishing.
Journals/Publications
- Heinz, J., & Kolesik, M. (2023). Open boundary conditions for the simulation of leaky modes. Optics Continuum, 2(1), 143--154.
- Kolesik, M. (2023). Assessment of tight-binding models for high-harmonic generation in zinc blende materials. Optics Letters, 48(12), 3191--3194.
- Kolesik, M. (2023). Which part of the Brillouin zone contributes most to the high-harmonic radiation?. arXiv preprint arXiv:2309.07281.
- Kolesik, M., & Moloney, J. V. (2023). Numerical discreteness and dephasing in high-harmonic calculations in solids. Physical Review B, 108(11), 115433.
- Panagiotopoulos, P., Heinz, J., Kolesik, M., & Moloney, J. V. (2023). Higher order long-wave infrared Bessel beams generating tubular plasma waveguides in the atmosphere. Optics Continuum, 2(2), 449--455.
- Gu, J., & Kolesik, M. (2022). Full-Brillouin-zone calculation of high-order harmonic generation from solid-state media. Physical Review A, 106(6), 063516.
- Gu, J., & Kolesik, M. (2022). Full-Brillouin-zone calculation of higher-order harmonic radiation from solid-state media. Phys. Rev. A, 106, 063516.
- Hastings, M. G., Panagiotopoulos, P., Kolesik, M., Hasson, V., Tochitsky, S., & Moloney, J. V. (2022). Few-cycle 10 $\mu$m multi-terawatt pulse self-compression in a gas-filled multi-pass cell: a numerical experiment. JOSA B, 39(1), 266--272.
- Kolesik, M., Panagiotopoulos, P., & Moloney, J. V. (2022). Nonlinear localization of high energy long wave laser pulses in fully correlated 3D turbulence. Optics Letters, 47(7), 1782--1785.
- Yusofsani, S., & Kolesik, M. (2022). Exact energy eigenstates of the Coulomb-Stark Hamiltonian. Physical Review A, 105(3), 032203.
- Gu, J., Schweinsberg, A., Vanderhoef, L., Tripepi, M., Valenzuela, A., Wolfe, C., Ensley, T. R., Chowdhury, E., & Kolesik, M. (2021). Random quasi-phase-matching in polycrystalline media and its effects on pulse coherence properties. Optics Express, 29(5), 7479--7493.
- Heinz, J., & Kolesik, M. (2021). Transparent boundary conditions for discretized non-Hermitian eigenvalue problems. International Journal of Modern Physics C, 32(10), 2150138.
- Le, M., Salehi, F., Railing, L., Kolesik, M., & Milchberg, H. (2021). 15 MeV quasimonoenergetic electrons at 1 kHz with circularly polarized few-cycle pulses. Bulletin of the American Physical Society, 66.
- Panagiotopoulos, P., Kolesik, M., Hasson, V., Tochitsky, S., & Moloney, J. V. (2021). Numerical study of spatial propagation dynamics and energy delivery of TW square-aperture CO 2 laser pulses in the atmosphere. JOSA B, 38(4), 1214--1221.
- Panagiotopoulos, P., Kolesik, M., Tochitsky, S., & Moloney, J. V. (2021). Generation of long homogeneous plasma channels with high power long-wave IR pulsed Bessel beams. Optics letters, 46(21), 5457--5460.
- Salehi, F., Le, M., Railing, L., Kolesik, M., & Milchberg, H. M. (2021). Laser-accelerated, low-divergence 15-mev quasimonoenergetic electron bunches at 1 khz. Physical Review X, 11(2), 021055.
- Vasilyev, S., Gu, J., Mirov, M., Barnakov, Y., Moskalev, I., Smolski, V., Peppers, J., Kolesik, M., Mirov, S., & Gapontsev, V. (2021). Low-threshold supercontinuum generation in polycrystalline media. JOSA B, 38(5), 1625--1633.
- Yusofsani, S., & Kolesik, M. (2021). Beyond Fowler--Nordheim model: harmonic generation from metallic nano-structures. The European Physical Journal Special Topics, 1--9.
- Gu, J., Hastings, M. G., & Kolesik, M. (2020). Simulation of harmonic and supercontinuum generation in polycrystalline media. JOSA B, 37(5), 1510--1517.
- Heinz, J., Reiff, R., Joyce, T., Becker, A., Jaro\'n-Becker, A., & Kolesik, M. (2020). Nonlinear polarization and ionization in O 2: metastable electronic state model. Optics Express, 28(17), 25022--25036.
- Kilen, I., Kolesik, M., Hader, J., Moloney, J. V., Huttner, U., Hagen, M. K., & Koch, S. W. (2020). Propagation Induced Dephasing in Semiconductor High-Harmonic Generation. Physical review letters, 125(8), 083901.
- Panagiotopoulos, P., Hastings, M. G., Kolesik, M., Tochitsky, S., & Moloney, J. V. (2020). Multi-terawatt femtosecond 10 $\mu$m laser pulses by self-compression in a CO 2 cell. OSA Continuum, 3(11), 3040--3047.
- Tolliver, J., Zahedpour, S., Wahlstrand, J. K., Milchberg, H. M., & Kolesik, M. (2020). Nonlinearity and ionization in Xe: experiment-based calibration of a numerical model. Optics Letters, 45(20), 5780--5783.
- Yusofsani, S., & Kolesik, M. (2020). Quantum tunneling time: Insights from an exactly solvable model. Physical Review A, 101(5), 052121.
- Eftekhar, M. A., Sanjabi-Eznaveh, Z., Lopez-Aviles, H. E., Benis, S., Antonio-Lopez, J. E., Kolesik, M., Wise, F., Amezcua-Correa, R., & Christodoulides, D. N. (2019). Accelerated nonlinear interactions in graded-index multimode fibers. Nature communications, 10(1), 1--10.
- Kolesik, M., & Wright, E. M. (2019). Universal long-wavelength nonlinear optical response of noble gases. Optics express, 27(18), 25445--25456.
- Panagiotopoulos, P., Kolesik, M., Koch, S. W., Wright, E. M., Tochitsky, S., & Moloney, J. V. (2019). Control of the filament dynamics of 10 $\mu$m pulses via designer pulse trains. JOSA B, 36(10), G33--G39.
- Panagiotopoulos, P., Kolesik, M., Tochitsky, S., Koch, S. W., & Moloney, J. V. (2019). Two-stage filamentation of 10 $\mu$m pulses as a broadband infrared backlighter in the atmosphere. Optics letters, 44(12), 3122--3125.
- Ren, X., Wang, Y., Chang, Z., Welch, J., Bernstein, A., Downer, M., Brown, J., Gaarde, M., Couairon, A., Kolesik, M., & others, . (2019). In-line Spectral Interferometry in Shortwave-Infrared Laser Filaments in Air. Physical Review Letters, 123(22), 223203.
- Rosenow, P., Kolesik, M., Koch, S. W., & Moloney, J. V. (2019). Effective nonlinear rovibrational response of water vapor for efficient pulse propagation simulations. JOSA B, 36(2), 267--274.
- Rosenow, P., Panagiotopoulos, P., Kolesik, M., Koch, S. W., & Moloney, J. V. (2019). Nonlinear rovibrational response in the propagation of long-wavelength infrared pulses and pulse trains. JOSA B, 36(12), 3457--3463.
- Tochitsky, S., Welch, E., Panagiotopoulos, P., Polyanskiy, M., Pogorelsky, I., Kolesik, M., Koch, S. W., Moloney, J. V., & Joshi, C. (2019). Filamentation of long-wave infrared pulses in the atmosphere. JOSA B, 36(10), G40--G51.
- Tochitsky, S., Welch, E., Polyanskiy, M., Pogorelsky, I., Panagiotopoulos, P., Kolesik, M., Wright, E. M., Koch, S. W., Moloney, J. V., Pigeon, J., & others, . (2019). Megafilament in air formed by self-guided terawatt long-wavelength infrared laser. Nature Photonics, 13(1), 41--46.
- Werner, K., Hastings, M. G., Schweinsberg, A., Wilmer, B. L., Austin, D., Wolfe, C. M., Kolesik, M., Ensley, T. R., Vanderhoef, L., Valenzuela, A., & others, . (2019). Ultrafast mid-infrared high harmonic and supercontinuum generation with n 2 characterization in zinc selenide. Optics express, 27(3), 2867--2885.
- Wright, E. M., Koch, S. W., Kolesik, M., & Moloney, J. V. (2019). Memory effects in the long-wave infrared avalanche ionization of gases: a review of recent progress. Reports on Progress in Physics, 82(6), 064401.
- Jakobsen, P., Mansuripur, M., & Kolesik, M. (2018). Leaky-mode expansion of the electromagnetic field inside dispersive spherical cavity. Journal of Mathematical Physics, 59(3), 033501.
- Juhasz, D., Kolesik, M., & Jakobsen, P. K. (2018). Convergence and completeness for square-well Stark resonant state expansions. Journal of Mathematical Physics, 59(11), 113501.
- Tochitsky, S., Welch, E., Polyanskiy, M., Pogorelsky, I., Panagiotopoulos, P., Kolesik, M., Wright, E., Koch, S., Moloney, J., Pigeon, J., & others, . (2018). Observation of arrest of Kerr self-focusing in a 10 $\mu$m filament in air at 1 TW/cm 2 clamped intensity. Bulletin of the American Physical Society.
- Tolliver, J., & Kolesik, M. (2018). True versus effective Kerr nonlinear response in optical filamentation. Optics express, 26(23), 30172--30182.
- Wahlstrand, J. K., Zahedpour, S., Bahl, A., Kolesik, M., & Milchberg, H. M. (2018). Bound-electron nonlinearity beyond the ionization threshold. Physical review letters, 120(18), 183901.
- Bahl, A., Majety, V. P., Scrinzi, A., & Kolesik, M. (2017). Nonlinear optical response in molecular nitrogen: from ab-initio calculations to optical pulse simulations. Optics letters, 42(12), 2295--2298.
- Bahl, A., Wahlstrand, J. K., Zahedpour, S., Milchberg, H. M., & Kolesik, M. (2017). Nonlinear optical polarization response and plasma generation in noble gases: Comparison of metastable-electronic-state-approach models to experiments. Physical Review A, 96(4), 043867.
- Eftekhar, M. A., Wright, L. G., Mills, M. S., Kolesik, M., Correa, R. A., Wise, F. W., & Christodoulides, D. N. (2017). Versatile supercontinuum generation in parabolic multimode optical fibers. Optics express, 25(8), 9078--9087.
- Eznaveh, Z. S., Eftekhar, M. A., Lopez, J. A., Kolesik, M., Sch\"ulzgen, A., Wise, F. W., Christodoulides, D. N., & Correa, R. A. (2017). Tailoring frequency generation in uniform and concatenated multimode fibers. Optics letters, 42(5), 1015--1018.
- Mansuripur, M., Kolesik, M., & Jakobsen, P. (2017). Leaky modes of solid dielectric spheres. Physical Review A, 96(1), 013846.
- Schuh, K., Kolesik, M., Wright, E. M., Moloney, J. V., & Koch, S. W. (2017). Self-channeling of high-power long-wave infrared pulses in atomic gases. Physical review letters, 118(6), 063901.
- Schuh, K., Panagiotopoulos, P., Kolesik, M., Koch, S. W., & Moloney, J. V. (2017). Multi-terawatt 10 $\mu$m pulse atmospheric delivery over multiple Rayleigh ranges. Optics letters, 42(19), 3722--3725.
- Schuh, K., Rosenow, P., Kolesik, M., Wright, E. M., Koch, S. W., & Moloney, J. V. (2017). Nonlinear rovibrational polarization response of water vapor to ultrashort long-wave infrared pulses. Physical Review A, 96(4), 043818.
- Wang, T., & Kolesik, M. (2017). On the manifestation of higher-order nonlinearities in a noble gas medium undergoing strong ionization. Optics letters, 42(20), 4195--4198.
- Bahl, A., Wright, E. M., & Kolesik, M. (2016). Nonlinear optical response of noble gases via the metastable electronic state approach. Physical Review A, 94(2), 023850.
- Brown, J. M., Jakobsen, P., Bahl, A., Moloney, J. V., & Kolesik, M. (2016). On the convergence of quantum resonant-state expansion. Journal of Mathematical Physics, 57(3), 032105.
- Brown, J. M., Shanor, C., Wright, E. M., & Kolesik, M. (2016). Carrier-wave shape effects in optical filamentation. Optics letters, 41(5), 859--862.
- Mansuripur, M., Kolesik, M., & Jakobsen, P. (2016). Leaky Modes of Dielectric Cavities. Spintronics IX, edited by H.-J. Drouhin, J.-E. Wegrowe, and M. Razeghi, Proceedings of SPIE, 9931, 99310B~1:20.
- Panagiotopoulos, P., Couairon, A., Kolesik, M., Papazoglou, D. G., Moloney, J. V., & Tzortzakis, S. (2016). Nonlinear plasma-assisted collapse of ring-Airy wave packets. Physical Review A, 93(3), 033808.
- Panagiotopoulos, P., Kolesik, M., & Moloney, J. V. (2016). Exploring the limits to energy scaling and distant-target delivery of high-intensity midinfrared pulses. Physical Review A, 94(3), 033852.
- Panagiotopoulos, P., Schuh, K., Kolesik, M., & Moloney, J. V. (2016). Simulations of 10 $\mu$m filaments in a realistically modeled atmosphere. JOSA B, 33(10), 2154--2161.
- Shanor, C., Ensley, T., Hagan, D. J., Van Stryland, E. W., Wright, E. M., & Kolesik, M. (2016). Numerical investigation of enhanced femtosecond supercontinuum via a weak seed in noble gases. Optics express, 24(13), 15110--15119.
- Bahl, A., Brown, J., Wright, E., & Kolesik, M. (2015). Assessment of the metastable electronic state approach as a microscopically self-consistent description for the nonlinear response of atoms. Optics letters, 40, 4987--4990.
- Brown, J. M., & Kolesik, M. (2015). Properties of Stark Resonant States in Exactly Solvable Systems. Advances in Mathematical Physics, 2015.
- Kolesik, M., Brown, J., Teleki, A., Jakobsen, P., Moloney, J., & Wright, E. (2015). Metastable electronic states and nonlinear response for high-intensity optical pulses: erratum. Optica, 2, 509--509.
- Mills, M., Heinrich, M., Kolesik, M., & Christodoulides, D. (2015). Extending optical filaments using auxiliary dress beams. Journal of Physics B: Atomic, Molecular and Optical Physics, 48, 094014.
- Panagiotopoulos, P., Whalen, P., Kolesik, M., & Moloney, J. V. (2015). Carrier field shock formation of long-wavelength femtosecond pulses in single-crystal diamond and air. JOSA B, 32, 1718--1730.
- Panagiotopoulos, P., Whalen, P., Kolesik, M., & Moloney, J. V. (2015). Super high power mid-infrared femtosecond light bullet. Nature Photonics, 9, 543--548.
- Andreasen, J., Bahl, A., & Kolesik, M. (2014). Spatial effects in supercontinuum generation in waveguides. Optics express, 22(21), 25756--25767.
- Bahl, A., Teleki, A., Jakobsen, P. K., Wright, E. M., Kolesik, M., & others, . (2014). Reflectionless beam propagation on a piecewise linear complex domain. Journal of Lightwave Technology, 32(22), 3670--3676.
- Kolesik, M., & Moloney, J. (2014). Modeling and simulation techniques in extreme nonlinear optics of gaseous and condensed media. Reports on Progress in Physics, 77(1), 016401.
- Kolesik, M., Brown, J., Moloney, J., & Faccio, D. (2014). History-dependent effects in subcycle-waveform strong-field ionization. Physical Review A, 90(3), 033414.
- Kolesik, M., Brown, J., Teleki, A., Jakobsen, P., Moloney, J., & Wright, E. (2014). Metastable electronic states and nonlinear response for high-intensity optical pulses. Optica, 1(5), 323--331.
- Roger, T., Majus, D., Tamosauskas, G., Panagiotopoulos, P., Kolesik, M., Genty, G., \.e\fi, I., Dubietis, A., & Faccio, D. (2014). Extreme events in resonant radiation from three-dimensional light bullets. Phys. Rev. A, 90, 033816.
- Scheller, M., Chen, X., Ariunbold, G. O., Born, N., Moloney, J., Kolesik, M., & Polynkin, P. (2014). Raman conversion in intense femtosecond Bessel beams in air. Physical Review A, 89(5), 053805.
- Scheller, M., Mills, M. S., Miri, M., Cheng, W., Moloney, J. V., Kolesik, M., Polynkin, P., & Christodoulides, D. N. (2014). Externally refuelled optical filaments. Nature Photonics, 8(4), 297--301.
- Schuh, K., Kolesik, M., Wright, E., & Moloney, J. (2014). Simple model for the nonlinear optical response of gases in the transparency region. Optics letters, 39(17), 5086--5089.
- Whalen, P., Panagiotopoulos, P., Kolesik, M., & Moloney, J. V. (2014). Extreme carrier shocking of intense long-wavelength pulses. Physical Review A, 89(2), 023850.
- Andreasen, J., & Kolesik, M. (2013). Core-confined beam propagation method for guiding and leaky structures. Journal of Lightwave Technology, 31(18), 2999-3005.More infoAbstract: We propose a beam propagation method variant, which only requires the computational grid to span the core region of a waveguiding structure. Optical fields outside are accounted for through semitransparent boundary conditions. The method is fast, simple to implement, and accurate over a wide range of wavelengths. It is applicable to both guiding and leaky structures, with sufficiently strong contrast between refractive indices in the core, substrate, and cladding. © 1983-2012 IEEE.
- Andreasen, J., & Kolesik, M. (2013). Midinfrared femtosecond laser pulse filamentation in hollow waveguides: A comparison of simulation methods. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87(5).More infoAbstract: This work compares computational methods for laser pulse propagation in hollow waveguides filled with rare gases at high pressures, with applications in extreme nonlinear optics in the midinfrared wavelength region. As the wavelength of light λ=2π/k increases with respect to the transverse size R of a leaky waveguide, the loss of light out of the waveguide upon propagation, in general, increases. The now standard numerical approach for studying such structures is based on expansion of the propagating field into approximate leaky waveguide modes. We compare this approach to an improved method that resolves the electric field in real space and correctly captures the energy loss through the waveguide wall. The comparison reveals that the expansion-based approach overestimates losses that occur in nonlinearly reshaped pulsed waveforms. For a modest increase in computational effort, the alternate method offers a physically more accurate model to describe phenomena (e.g., extreme pulse-selfcompression) in waveguides with smaller values of kR. © 2013 American Physical Society.
- Chen, X., Polynkin, P., & Kolesik, M. (2013). Raman effect in self-focusing of few-cycle laser pulses in air. Optics Letters, 38(12), 2017-2019.More infoPMID: 23938962;Abstract: Self-focusing of ultrashort pulses in air is investigated by means of numerical simulations. The role of the vibrational Raman effect and its dependence on pulse chirp is studied, with results shedding new light on the interpretation of the measurements of the critical self-focusing power. We also discuss computational modeling issues important specifically for few-cycle pulses. © 2013 Optical Society of America.
- Mills, M. S., Kolesik, M., & Christodoulides, D. N. (2013). Dressed optical filaments. Optics Letters, 38(1), 25-27.More infoPMID: 23282826;Abstract: In this Letter we show that by appropriately providing an auxiliary "dress" beam one can extend the longevity of an optical filament by almost one order of magnitude. These optical dressed filaments can propagate substantially further by judiciously harnessing energy from their secondary beam reservoir. This possibility is theoretically investigated in air when the filament is dressed with a conically convergent annular Gaussian beam. © 2012 Optical Society of America.
- Mills, M. S., Scheller, M., Polynkin, P., Kolesik, M., & Christodoulides, D. N. (2013). Propagation dynamics of dressed optical filaments. CLEO: QELS_Fundamental Science, CLEO:QELS FS 2013, QW1E.2.More infoAbstract: We demonstrate that the longevity of an optical filament can be drastically increased by prudently surrounding it with a low intensity annular wavefront. Here, we systematically study the dynamics and robustness of such dressed filaments. © OSA 2013.
- Polynkin, P., & Kolesik, M. (2013). Critical power for self-focusing in the case of ultrashort laser pulses. Physical Review A - Atomic, Molecular, and Optical Physics, 87(5).More infoAbstract: We attempt to evaluate the applicability of the concept of the critical power for self-focusing, originally developed for intense quasi-continuous-wave (cw) beams, to the case of ultra-intense and ultrashort laser pulses propagating in air. Our results show that, unlike in the cw case, no particular value of peak pulse power can be viewed as a sharp demarcation line between linear and nonlinear propagation regimes. Our analysis further reveals the important role played by chromatic dispersion in the propagation dynamics of the laser pulse. © 2013 American Physical Society.
- Andreasen, J., & Kolesik, M. (2012). Nonlinear propagation of light in structured media: Generalized unidirectional pulse propagation equations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(3).More infoAbstract: Unidirectional pulse propagation equations [UPPE, Phys. Rev. E10.1103/PhysRevE.70.036604 70, 036604 (2004)] have provided a theoretical underpinning for computer-aided investigations into dynamics of high-power ultrashort laser pulses and have been successfully utilized for almost a decade. Unfortunately, they are restricted to applications in bulk media or, with additional approximations, to simple waveguide geometries in which only a few guided modes can approximate the propagating waveform. The purpose of this work is to generalize the directional pulse propagation equations to structures characterized by strong refractive index differences and material interfaces. We also outline a numerical solution framework that draws on the combination of the bulk-media UPPE method with single-frequency beam-propagation techniques. © 2012 American Physical Society.
- Brown, J. M., Lotti, A., Teleki, A., & Kolesik, M. (2011). Exactly solvable model for nonlinear light-matter interaction in an arbitrary time-dependent field. Physical Review A - Atomic, Molecular, and Optical Physics, 84(6).More infoAbstract: Exact analytic expressions are derived for the dipole moment and nonlinear current of a one-dimensional quantum particle subject to a short-range attractive potential and an arbitrary time-dependent electric field. An efficient algorithm for the current evaluation is described and a robust implementation suitable for numerical simulations is demonstrated. © 2011 American Physical Society.
- Couairon, A., Brambilla, E., Corti, T., Majus, D., de, O., & Kolesik, M. (2011). Practitioner's guide to laser pulse propagation models and simulation. European Physical Journal: Special Topics, 199(1), 5-76.More infoAbstract: The purpose of this article is to provide practical introduction into numerical modeling of ultrashort optical pulses in extreme nonlinear regimes. The theoretic background section covers derivation of modern pulse propagation models starting from Maxwell's equations, and includes both envelope-based models and carrier-resolving propagation equations. We then continue with a detailed description of implementation in software of Nonlinear Envelope Equations as an example of a mixed approach which combines finite-difference and spectral techniques. Fully spectral numerical solution methods for the Unidirectional Pulse Propagation Equation are discussed next. The modeling part of this guide concludes with a brief introduction into efficient implementations of nonlinear medium responses. Finally, we include several worked-out simulation examples. These are mini-projects designed to highlight numerical and modeling issues, and to teach numerical-experiment practices. They are also meant to illustrate, first and foremost for a non-specialist, how tools discussed in this guide can be applied in practical numerical modeling. © 2011 EDP Sciences and Springer.
- Rubino, E., Belgiorno, F., Cacciatori, S. L., Clerici, M., Gorini, V., Ortenzi, G., Rizzi, L., Sala, V. G., Kolesik, M., & Faccio, D. (2011). Experimental evidence of analogue Hawking radiation from ultrashort laser pulse filaments. New Journal of Physics, 13.More infoAbstract: Curved space-times and, in particular, event horizons of astrophysical black holes are expected to excite the quantum vacuum and give rise to an emission of quanta known as Hawking radiation. Remarkably, many physical systems may be considered analogous to black holes and as such hold promise for the detection of Hawking radiation. In particular, recent progress in the field of transformation optics, i.e. the description of optical systems in terms of curved space-time geometries, has led to a detailed description of methods for generating, via superluminal dielectrics, a blocking horizon for photons. Our measurements highlight the emission of photons from a moving refractive index perturbation induced by a laser pulse that is in quantitative agreement with the Hawking model. This opens an intriguing and readily accessible observation window into quantum field theory in curved space-time geometries. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
- Zang, L., Kang, M. S., Kolesik, M., Scharrer, M., & Russell, P. (2010). Dispersion of photonic Bloch modes in periodically twisted birefringent media. Journal of the Optical Society of America B: Optical Physics, 27(9), 1742-1750.More infoAbstract: We investigate the polarization evolution and dispersive properties of the eigenmodes of birefringent media with arbitrarily twisted axes of birefringence. Analytical and numerical methods based on a transfer matrix approach are developed and used to study specifically helically twisted structures and the Bloch modes of periodically twisted media, as represented in particular by structural "rocking" filters inscribed in highly birefringent photonic crystal fibers. The presence of periodically twisted birefringence axes causes the group velocity dispersion curves to separate strongly from each other in the vicinity of the anti-crossing wavelength, where the inter-polarization beat-length equals an integer multiple of the rocking period. The maximum separation between these curves and the bandwidth of the splitting depend on the amplitude of the rocking angle. We also show that suitably designed adiabatic transitions, formed by chirping the rocking period, allow a broadband conversion between a linearly polarized fiber eigenmode and a single Bloch mode of a uniform rocking filter. The widely controllable dispersive properties provided by rocking filters may be useful for manipulating the phase-matching conditions in nonlinear optical processes such as four-wave mixing, supercontinuum generation, and the generation of resonant radiation from solitons. © 2010 Optical Society of America.
- Clerici, M., Jedrkiewicz, O., Faccio, D., Averchi, A., Lotti, A., Rubino, E., Valiulis, G., Tartara, L., Degiorgio, V., Couairon, A., Kolesik, M., & Trapani, P. D. (2008). Controlled X wave formation in bulk quadratic and cubic nonlinear media. Conference Proceedings - Lasers and Electro-Optics Society Annual Meeting-LEOS, 874-875.
- Buendía, G., Rikvold, P. A., Kolesik, M., Park, K., & Novotny, M. A. (2007). Nanostructure and velocity of field-driven solid-on-solid interfaces moving under a phonon-assisted dynamic. Physical Review B - Condensed Matter and Materials Physics, 76(4).More infoAbstract: The nanoscopic structure and the stationary propagation velocity of (1+1) -dimensional solid-on-solid interfaces in an Ising lattice-gas model, which are driven far from equilibrium by an applied force, such as a magnetic field or a difference in (electro)chemical potential, are studied by an analytic nonlinear-response approximation together with kinetic Monte Carlo simulations. Here, we consider the case that the system is coupled to a two-dimensional phonon bath. In the resulting dynamic, transitions that conserve the system energy are forbidden, and the effects of the applied force and the interaction energies do not factorize (a so-called hard dynamic). In full agreement with previous general theoretical results, we find that the local interface width changes dramatically with the applied force. However, in contrast with other hard dynamics, this change is nonmonotonic in the driving force. Results are also obtained for the force dependence and anisotropy of the interface velocity, which also show differences in good agreement with the theoretical expectations for the differences between soft and hard dynamics. However, significant differences between theory and simulation are found near two special values of the driving force, where certain transitions allowed by the solid-on-solid model become forbidden by the phonon-assisted dynamic. Our results show that different stochastic interface dynamics that all obey detailed balance and the same conservation laws nevertheless can lead to radically different interface responses to an applied force. Thus, they represent a significant step toward providing a solid physical foundation for kinetic Monte Carlo simulations. © 2007 The American Physical Society.
- Faccio, D., Averchi, A., Kolesik, M., Couairon, A., Polesana, P., Tamosauskas, G., Dubietis, A., Trapani, P. D., & Piskarskas, A. (2007). Pulse compression and X wave generation by Cross-Phase-Modulation induced spatiotemporal reshaping. Conference on Lasers and Electro-Optics Europe - Technical Digest.
- Buendía, G., Rikvold, P. A., & Kolesik, M. (2006). Field-driven solid-on-solid interfaces moving under a stochastic Arrhenius dynamics: Effects of the barrier height. Journal of Molecular Structure: THEOCHEM, 769(1-3), 207-210.More infoAbstract: We present analytical results and kinetic Monte Carlo simulations for the mobility and microscopic structure of solid-on-solid (SOS) interfaces driven far from equilibrium by an external force, such as an applied field or (electro)chemical potential difference. The interfaces evolve under a specific stochastic dynamics with a local energy barrier (an Arrhenius dynamics), known as the transition dynamics approximation (TDA). We calculate the average height of steps on the interface, the average interface velocity, and the skewness of the interface as functions of the driving force and the height of the energy barrier. We find that the microscopic interface structure depends quite strongly on the barrier height. As the barrier becomes higher, the local interface width decreases and the skewness increases, suggesting increasing short-range correlations between the step heights. © 2006 Elsevier B.V. All rights reserved.
- Buendía, G., Rikvold, P. A., & Kolesik, M. (2006). Microstructure and velocity of field-driven solid-on-solid interfaces moving under stochastic dynamics with local energy barriers. Physical Review B - Condensed Matter and Materials Physics, 73(4).More infoAbstract: We study the microscopic structure and the stationary propagation velocity of (1+1) -dimensional solid-on-solid interfaces in an Ising lattice-gas model, which are driven far from equilibrium by an applied force, such as a magnetic field or a difference in (electro)chemical potential. We use an analytic nonlinear-response approximation [P. A. Rikvold and M. Kolesik, J. Stat. Phys. 100, 377 (2000)] together with kinetic Monte Carlo simulations. Here we consider interfaces that move under Arrhenius dynamics, which include a microscopic energy barrier between the allowed Ising or lattice-gas states. Two different dynamics are studied: the standard one-step dynamics (OSD) [H. C. Kang and W. Weinberg, J. Chem. Phys. 90, 2824 (1992)] and the two-step transition-dynamics approximation (TDA) [T. Ala-Nissila, J. Kjoll, and S. C. Ying, Phys. Rev. B 46, 846 (1992)]. In the OSD the effects of the applied force and the interaction energies in the model factorize in the transition rates (soft dynamics), while in the TDA such factorization is not possible (hard dynamics). In full agreement with previous general theoretical results we find that the local interface width under the TDA increases dramatically with the applied force. In contrast, the interface structure with the OSD is only weakly influenced by the force, in qualitative agreement with the theoretical expectations. Results are also obtained for the force dependence and anisotropy of the interface velocity, which also show differences in good agreement with the theoretical expectations for the differences between soft and hard dynamics. Our results confirm that different stochastic interface dynamics that all obey detailed balance and the same conservation laws nevertheless can lead to radically different interface responses to an applied force. © 2006 The American Physical Society.
- Teipel, J., Türke, D., Giessen, H., Killi, A., Morgner, U., Lederer, M., Kopf, D., & Kolesik, M. (2005). Diode-pumped, ultrafast, multi-octave supercontinuum source at repetition rates between 500 kHz and 20 MHz using Yb:glass lasers and tapered fibers. Optics Express, 13(5), 1477-1485.More infoPMID: 19495023;Abstract: We present a compact, all diode-pumped supercontinuum source based on a SESAM mode-locked Yb:glass oscillator at 1040 nm and a tapered fiber. The oscillator has a repetition rate of 20 MHz, a pulse duration of 200 fs, and a maximum pulse energy of about 15 nJ. This system delivers an 1100 nm broad spectrum with an output power of more than 100 mW. Decreasing the repetition rate to 500 kHz by cavity-dumping results in a supercontinuum with a high pulse energy of about 50 nJ. Furthermore, using the frequency-doubled output of this laser at 520 nm with 300 fs pulse duration resulted in supercontinua in the near-UV and visible spectral region. We compare the experimental spectra with theoretical simulations. © 2005 Optical Society of America.
- Kolesik, M., Novotny, M. A., & Rikvold, P. A. (2003). Extreme long-time dynamic Monte Carlo simulations for metastable decay in the d = 3 Ising ferromagnet. International Journal of Modern Physics C, 14(1), 121-131.More infoAbstract: We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations, we use the advanced simulation method of projective dynamics. The algorithm is described in detail, together with its application to the escape from the metastable state. Our results for the field dependence of the metastable lifetime are in good agreement with theoretical expectations and span more than 50 decades in time.
- Rikvold, P. A., & Kolesik, M. (2003). Microstructure and velocity of field-driven Ising interfaces moving under a soft stochastic dynamic. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 67(6 2), 066113/1-066113/8.More infoAbstract: A study was conducted on the dependence of the local structure of driven interfaces on the applied field and temperature and on the form of the stochastic dynamics under which they move. The local interface structure was of interest because it was this, rather than the large-scale scaling behavior, which determines such important interface properties as mobility and chemical reactivity. It was found that the results for the Ising model with the soft Glauber dynamic differ relatively little from the solid-on-solid (SOS) model with soft dynamics studied.
- Rikvold, P. A., & Kolesik, M. (2002). Microstructure and velocity of field-driven solid-on-solid interfaces: Analytic approximations and numerical results. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 66(6), 066116/1-066116/12.More infoPMID: 12513356;Abstract: The local structure of a solid-on-solid interface in a two-dimensional kinetic Ising ferromagnet or attractive lattice-gas model with single-spin-flip Glauber dynamics, which is driven far from equilibrium by an applied field or chemical potential, is studied by an analytic mean-field, nonlinear-response theory [P. A. Rikvold and M. Kolesik, J. Stat. Phys. 100, 377 (2000)], and by dynamic Monte Carlo simulations. The probability density of the height of an individual step in the surface is obtained, both analytically and by simulation. The width of the probability density is found to increase dramatically with the magnitude of the applied field, with close agreement between the theoretical predictions and the simulation results. Excellent agreement between theory and simulations is also found for the field dependence and anisotropy of the interface velocity. The joint distribution of nearest-neighbor step heights is obtained by simulation. It shows increasing correlations with increasing field, similar to the skewness observed in other examples of growing surfaces. © 2002 The American Physical Society.
- Rikvold, P. A., & Kolesik, M. (2002). Soft versus hard dynamics for field-driven solid-on-solid interfaces. Journal of Physics A: Mathematical and General, 35(9), L117-L123.More infoAbstract: Analytical arguments and dynamic Monte Carlo simulations show that the microscopic structure of field-driven solid-on-solid interfaces depends strongly on the details of the dynamics. For non-conservative dynamics with transition rates that factorize into parts dependent only on the changes in interaction energy and field energy, respectively (soft dynamics), the intrinsic interface width is field independent. For non-factorizing rates, such as the standard Glauber and Metropolis algorithms (hard dynamics), it increases with the field. Consequences for the interface velocity and its anisotropy are discussed.
- Novotny, M. A., Rikvold, P. A., Kolesik, M., Townsley, D. M., & Ramos, R. A. (2000). Simulations of metastable decay in two- and three-dimensional models with microscopic dynamics. Journal of Non-Crystalline Solids, 274(1), 356-363.More infoAbstract: We present a brief analysis of the crossover phase diagram for the decay of a metastable phase in a simple dynamic lattice-gas model of a two-phase system. We illustrate the nucleation-theoretical analysis with dynamic Monte Carlo (MC) simulations of a kinetic Ising lattice gas on square and cubic lattices. We predict several regimes in which the metastable lifetime has different functional forms, and we provide estimates for the crossovers between the different regimes. In the multidroplet regime, the Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory for the time dependence of the order-parameter decay and the two-point density correlation function allows extraction of both the order parameter in the metastable phase and the interfacial velocity from the simulation data.
- Rikvold, P. A., & Kolesik, M. (2000). Analytic approximations for the velocity of field-driven Ising interfaces. Journal of Statistical Physics, 100(1-2), 377-403.More infoAbstract: We present analytic approximations for the field, temperature, and orientation dependences of the interface velocity in a two-dimensional kinetic Ising model in a nonzero field. The model, which has nonconserved order parameter, is useful for ferromagnets, ferroelectrics, and other systems undergoing order-disorder phase transformations driven by a bulk free-energy difference. The solid-on-solid (SOS) approximation for the microscopic surface structure is used to estimate mean spin-class populations, from which the mean interface velocity can be obtained for any specific single-spin-flip dynamic. This linear-response approximation remains accurate for higher temperatures than the single-step and polynuclear growth models, while it reduces to these in the appropriate low-temperature limits. The equilibrium SOS approximation is generalized by mean-field arguments to obtain field-dependent spin-class populations for moving interfaces, and thereby a nonlinear-response approximation for the velocity. The analytic results for the interface velocity and the spin-class populations are compared with Monte Carlo simulations. Excellent agreement is found in a wide range of field, temperature, and interface orientation.
- Novotny, M. A., Kolesik, M., & Rikvold, P. A. (1999). Slow forcing in the projective dynamics method. Computer Physics Communications, 121, 330-333.More infoAbstract: We provide a proof that when there is no forcing the recently introduced projective dynamics Monte Carlo algorithm gives the exact lifetime of the metastable state, within statistical uncertainties. We also show numerical evidence illustrating that for slow forcing the approach to the zero-forcing limit is rather rapid. The model studied numerically is the 3-dimensional 3-state Potts ferromagnet.
- Kolesik, M., Novotny, M. A., & Rikvold, P. A. (1998). Projection method for statics and dynamics of lattice spin systems. Physical Review Letters, 80(15), 3384-3387.More infoAbstract: A method based on Monte Carlo sampling of probability flows projected onto the subspace of one or more slow variables, is proposed for the investigation of dynamic and static properties of lattice spin systems. We illustrate the method by applying it, with projection onto the order-parameter subspace, to the 3-dimensional 3-state Potts model in equilibrium, and to metastable decay in a 3-dimensional 3-state kinetic Potts model.
- Novotny, M. A., Kolesik, M., & Rikvold, P. A. (1998). Magnetization switching in single-domain ferromagnets. Journal of Magnetism and Magnetic Materials, 177-181(PART 2), 917-918.More infoAbstract: A model for single-domain uniaxial ferromagnetic particles with high anisotropy, the Ising model, is studied. Recent experimental observations have been made of the probability that the magnetization has not switched, PNOT. Here an approach is described in which it is emphasized that a ferromagnetic particle in an unfavorable field is, in fact, a metastable system, and the switching is accomplished through the nucleation and subsequent growth of localized droplets. Nucleation theory is applied to finite systems to determine the coercivity as a function of particle size and to calculate PNOT. Both of these quantities are modified by different boundary conditions, magnetostatic interactions, and quenched disorder. © 1998 Elsevier Science B.V. All rights reserved.
- Kolesik, M., Novotny, M. A., & Rikvold, P. A. (1997). Monte Carlo simulation of magnetization reversal in Fe sesquilayers on W(110). Physical Review B - Condensed Matter and Materials Physics, 56(18), 11791-11796.More infoAbstract: Iron sesquilayers grown at room temperature on W(110) exhibit a pronounced coercivity maximum near a coverage of 1.5 atomic monolayers. On lattices which faithfully reproduce the morphology of the real films, a kinetic Ising model is utilized to simulate the domain-wall motion. Simulations reveal that the dynamics is dominated by the second-layer islands, which act as pinning centers. The simulated dependences of the coercivity on the film coverage, as well as on the temperature and the frequency of the applied field, are very similar to those measured in experiments. Unlike previous micromagnetic models, the presented approach provides insight into the dynamics of the domain-wall motion and clearly reveals the role of thermal fluctuations.
- Kolesik, M., Novotny, M. A., & Rikvold, P. A. (1997). Monte Carlo simulation of magnetization reversal via domain-wall motion in Fe sesquilayers on W(110). Materials Research Society Symposium - Proceedings, 492, 313-318.More infoAbstract: Iron sesquilayers are ultrathin films with coverages between one and two atomic monolayers. They consist of an almost defect-free monolayer with compact islands of a second atomic layer on top. This variation of the film thickness results in a strong interaction between domain walls and the island structure. It makes these systems an ideal laboratory to study the dynamics of domain walls driven by weak external fields. We present computer simulations which provide insight into the role of the thermally activated nucleation processes by which a driven domain wall overcomes the obstacles created by the islands.
- Kolesik, M., Richards, H. L., Novotny, M. A., Rikvold, P. A., & Lindgård, P. (1997). Magnetization switching in nanoscale ferromagnetic grains: Simulations with heterogeneous nucleation. Journal of Applied Physics, 81(8 PART 2B), 5600-5602.More infoAbstract: We present results obtained with various types of heterogeneous nucleation in a kinetic Ising model of magnetization switching in single-domain ferromagnetic nanoparticles. We investigate the effect of the presence of the system boundary and make comparison with simulations on periodic lattices. We also study systems with bulk disorder and compare how two different types of disorder influence the switching behavior. © 1997 American Institute of Physics.
- Richards, H. L., Kolesik, M., Lindgård, P., Rikvold, P. A., & Novotny, M. A. (1997). Effects of boundary conditions on magnetization switching in kinetic Ising models of nanoscale ferromagnets. Physical Review B - Condensed Matter and Materials Physics, 55(17), 11521-11540.More infoAbstract: Magnetization switching in highly anisotropic single-domain ferromagnets has been previously shown to be qualitatively described by the droplet theory of metastable decay and simulations of two-dimensional kinetic Ising systems with periodic boundary conditions. In this paper we consider the effects of boundary conditions on the switching phenomena, A rich range of behaviors is predicted by droplet theory: the specific mechanism by which switching occurs depends on the structure of the boundary, the particle size, the temperature, and the strength of the applied field. The theory predicts the existence of a peak in the switching field as a function of system size in both systems with periodic boundary conditions and in systems with boundaries. The size of the peak is strongly dependent on the boundary effects. It is generally reduced by open boundary conditions, and in some cases it disappears if the boundaries are too favorable towards nucleation. However, we also demonstrate conditions under which the peak remains discernible. This peak arises as a purely dynamic effect and is not related to the possible existence of multiple domains. We illustrate the predictions of droplet theory by Monte Carlo simulations of two-dimensional Ising systems with various system shapes and boundary conditions.
- Kolesik, M., & Suzuki, M. (1995). Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method. Physica A: Statistical Mechanics and its Applications, 215(1-2), 138-151.More infoAbstract: An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by α = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5). © 1995.
- Kolesik, M., & Suzuki, M. (1995). Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method. Physica A: Statistical Mechanics and its Applications, 216(4), 469-477.More infoAbstract: The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = -0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class. © 1995.
- Kolesik, M., & Suzuki, M. (1995). On the low-temperature ordering of the 3D antiferromagnetic three-state Potts model. Journal of Physics A: General Physics, 28(23), 6543-6555.More infoAbstract: The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two different regimes have been observed: the so-called broken sublattice-symmetry phase dominates at sufficiently low temperatures, while the phase just below the critical point is characterized by an effectively continuous order parameter and by a fully restored rotational symmetry. However, the latter phase is not the permutationally sublattice symmetric phase recently predicted by the cluster variation method.
- Aamaj, L., Percus, J. K., & Kolesík, M. (1994). Two-dimensional one-component plasma at coupling Γ=4: Numerical study of pair correlations. Physical Review E, 49(6), 5623-5627.More infoAbstract: We consider a classical two-dimensional one-component plasma of charged particles in a circularly symmetric neutralizing background, at a coupling constant of Γ=e2/kBT=4. The numerical results, based technically on a successive increase of the number of particles and on a Van der Monde determinantal representation of Boltzmann factors, strongly indicate a Gaussian-type falloff of the truncated bulk charge-charge correlations, similarly as in the exactly solvable Γ=2 case. © 1994 The American Physical Society.
- Kolesík, M. (1994). No-free-ends method for lattice animals and vertex models with arbitrary number of states. Physica A: Statistical Mechanics and its Applications, 202(3-4), 529-539.More infoAbstract: A new no-free-ends method for generating power series expansions for vertex models with arbitrary number of states is described. It is based on first-order differential equations providing a recurrent relation connecting the free-ends part of the series expansion in the (n + 1)th order with the nth and (n - 1)th order of the complete expansion. The number of necessary no-free-ends graphs can be further reduced for symmetric systems by eliminating the nodes which have two neighbors and their incident bonds are in different states. © 1994.
- Kolesík, M., & Šamaj, L. (1993). Evidence for the nonuniversality of a 3D vertex model. Physics Letters A, 177(1), 87-92.More infoAbstract: By combining a variational series expansion and the coherent anomaly method we observe a strong evidence for the nonuniversal critical behaviour of the symmetric vertex model formulated on the 2D square and 3D diamond lattices. © 1993.
- Kolesík, M., & Šamaj, L. (1993). Series expansion and CAM study of the nonuniversal behavior of the symmetric 16-vertex model. Journal of Statistical Physics, 72(5-6), 1203-1226.More infoAbstract: The phase diagram and the critical indices are investigated for the symmetric 16-vertex model on the square lattice by combining a variational series expansion and the coherent anomaly method. The nonuniversal critical exponents smoothly interpolate between two exactly solvable cases, namely the Baxter eight-vertex model and the Ising model. © 1993 Plenum Publishing Corporation.
- Šamaj, L., & Kolesík, M. (1993). Self-duality of the O(2) gauge transformation and the phase structure of vertex models. Physica A: Statistical Mechanics and its Applications, 193(1), 157-168.More infoAbstract: For the symmetric two-state vertex model formulated on a lattice with an arbitrary coordination number q, we construct a variational series expansion of the free energy with a free gauge parameter playing the role of the variational variable. In the lowest order of the variational series expansion we obtain the Bethe approximation. Its analytical treatment provides a new method of searching for the self-dual manifolds for lattices of higher coordination number q and gives some information about the internal structure of the self-dual manifolds where the first- and second-order phase transitions take place. The results are systematically improved by considering higher-order terms in the variational series expansion. © 1993.
- Kolesík, M., Tunega, D., & Sobolev, B. P. (1992). Low-frequency vibrational modes in fluorite based superionic conductors - Raman study. Solid State Ionics, 58(3-4), 237-242.More infoAbstract: The low-frequency Raman spectra of various fluorite-structured superionic conductors are presented. The observed low-frequency peaks are interpreted in terms of resonant vibrational states which are (quasi) localized in the vicinity of dopant clusters. © 1992.
- Šamaj, L., & Kolesík, M. (1992). Mapping of the symmetric vertex model onto the Ising model for an arbitrary lattice coordination. Physica A: Statistical Mechanics and its Applications, 182(3), 455-466.More infoAbstract: We investigate the mapping of the two-state symmetric vertex model onto the Ising model in a field for a lattice with general coordination number q. The analysis is based on a combination of decoration and generalized weak-graph transformations. It is shown that the mapping is restricted to the manifold formed by the intersection of q-3 hypersurfaces in the space of symmetric vertex weights. We also derive dual relations among the model parameters and the free energies of the related symmetric vertex and Ising models. The choices of the energies of the vertex configurations for which the mapping can be performed throughout the entire temperature range are briefly discussed. © 1992.
- Kolesik, M., & Sobolev, B. P. (1991). Raman scattering study of the Ba1-xRxF2+x superionic conductors. Solid State Ionics, 47(3-4), 325-329.More infoAbstract: The nonstoichiometric solid solutions Ba1-xRxF2+x (where R = Ce, Pr, Gd, Tb; and 0.10≤x≤0.30) are studied by Raman spectroscopy. Besides the main Raman peak, two additional bands are observed on its high-frequency side. A new interpretation for the extra-peaks, based on the cluster structure, is proposed. The observed vibrations seem to be connected with 8:12: (0, 1, 2) clusters. © 1991.
- Kolesík, M., & Šamaj, L. (1991). On correlation functions of two-state vertex models on the honeycomb lattice. Physica A: Statistical Mechanics and its Applications, 179(1), 145-157.More infoAbstract: A family of two-state vertex models on the honeycomb lattice is solved exactly using a generalized weak-graph transformation technique. Two systems are analyzed in detail: the "spin-flip" symmetric model, which is integrable in the whole temperature range, and the symmetric model, solvable at one specific temperature β*. This temperature turns out to be significant from the point of view of edge-edge correlations, namely they vanish at β*. © 1991.
- Kolesík, P. V., & Kolesík, M. (1989). Injuriousness of lentil gall midge Contarinia lentis Aczél (Diptera, Cecidomyiidae) and its distribution in Czechoslovakia. Anzeiger für Schädlingskunde Pflanzenschutz Umweltschutz, 62(8), 150-156.More infoAbstract: There has been an outbreak of lentil gall midge C. lentis on lentil in Czechoslovakia since 1984. Its extent and cause are given below. Infestation symptom-the gall-is described. The level of damage is defined as percent rate of the amount of galls and flower buds containing eggs of C. lentis from the amount of pods, flowers, galls, flower buds containing eggs and flower buds not containing eggs. As estimation is taken mostly at the end of lentil vegetation the level of damage is simplified to percent rate of the amount of galls from the amount of galls and pods. The level of damage of small parts of lentil stands can achieve 80%. Single plants with 95% level of damage were found. Proportional dependence of thousand-kernel weight on the level of damage was found out. Two functions of dependence of yield on the level of damage were compared: a simple linear one and a quadratic one which included the dependence of thousand-kernel weight on the level of damage. The generally valid linear function of dependence of yield y on the level of damage x is recommended: y=0.01 e (100-x) where e means yield at 0% damage level. Recent distribution area of this species in Czechoslovakia is given. In 1985-1988 the average level of damage of lentil stands from outbreak centre ranged from 3.08 to 52.05%. The average yield losses in Czechoslovakia were 5.49% in 1985, 4.98% in 1986, 2.87% in 1987 and 3.97% in 1988. Concentration of lentil fields in a small area was recognized as the main cause of the outbreak of C. lentis in Czechoslovakia. © 1989 Verlag Paul Parey.
Proceedings Publications
- Hastings, M. G., Panagiotopoulos, P., Kolesik, M., & Moloney, J. V. (2023). The existence of multi-octave spanning conical emission from ultrafast LWIR pulse filamentation. In Nonlinear Frequency Generation and Conversion: Materials and Devices XXII, 12405.
- Vasilyev, S., Vodopyanov, K., Kolesik, M., & Mirov, S. (2023). Using Cross-phase Modulation to Transfer Coherence Between a Cr: Zns Frequency Comb and its Optical Pump. In 2023 Conference on Lasers and Electro-Optics (CLEO).
- Railing, L., Le, M., Salehi, F., Gu, J., Kolesik, M., & Milchberg, H. M. (2022). Time Resolved Measurements of the Polarization State of Supercontinuum Generated in a Monatomic Gas. In Frontiers in Optics.
- Rudenko, A., Hagen, M. K., Hader, J., Kolesik, M., Koch, S. W., & Moloney, J. V. (2022). Maxwell-semiconductor Bloch simulations of high-harmonic generation in finite thickness semiconductor slabs. In Ultrafast Phenomena and Nanophotonics XXVI, 11999.
- Gu, J., Vasilyev, S., Mirov, M., & Kolesik, M. (2021). Modeling Harmonic and Supercontinuum Generation in Polycrystalline Materials. In CLEO: Science and Innovations.
- Hastings, M. G., Panagiotopoulos, P., Hasson, V., Kolesik, M., & Moloney, J. V. (2021). Filamentation-free Self-compression of LWIR Pulses in a CO2 Gas-filled Multi-pass Cell: A Numerical Study. In CLEO: Applications and Technology.
- Heinz, J., & Kolesik, M. (2021). Transparent Boundary Conditions for Quasi-Bound States in Open Systems. In Frontiers in Optics.
- Panagiotopoulos, P., Kolesik, M., Hasson, V., Tochitsky, S., & Moloney, J. V. (2021). Simulations on the propagation dynamics of TW square-aperture CO2 laser pulses in the atmosphere. In CLEO: Science and Innovations.
- Valenzuela, A., Schweinsberg, A., Gu, J., Kolesik, M., Ensley, T., Vanderhoef, L., Tripepi, M., Wolfe, C., & Chowdhury, E. (2021). Spatial structure and simulations of midwave infrared ultrashort pulse laser frequency conversion in polycrystalline and amorphous optical materials. In Nonlinear Frequency Generation and Conversion: Materials and Devices XX, 11670.
- Vasilyev, S., Sander, M. Y., Gu, J., Smolski, V., Moskalev, I., Mirov, M., Barnakov, Y., Peppers, J., Kolesik, M., Mirov, S., & others, . (2021). Vector Solitons in a Kerr-lens Mode-locked Laser Oscillator. In Advanced Solid State Lasers.
- Schweinsberg, A., Tripepi, M., Talisa, N., Vanderhoef, L., Wolfe, C., Hastings, M., Kolesik, M., Valenzuela, A., & Chowdhury, E. (2020). Symmetry Properties of Harmonics Generated in Single-Crystal Chalcogenides Using Ultrafast Mid-Infrared Pulses. In 2020 Conference on Lasers and Electro-Optics (CLEO).
- Tripepi, M., Hastings, M., Schweinsberg, A., Vanderhoef, L., Wolfe, C., Ensley, T., Kolesik, M., Moloney, J., Chowdhury, E., & Valenzuela, A. (2020). Midwave infrared ultrashort pulse laser frequency conversion in single crystal, polycrystalline, and amorphous optical materials. In Nonlinear Frequency Generation and Conversion: Materials and Devices XIX, 11264.
- Ensley, T. R., Hastings, M. G., Werner, K., Schweinsberg, A., Tripepi, M., Talisa, N., Wilmer, B. L., Austin, D., Wolfe, C. M., Kolesik, M., & others, . (2019). Ultrafast Nonlinear Refraction Measurements of Transparent Materials in the Mid-Infrared for Modeling Harmonic and Supercontinuum Generation. In Nonlinear Optics.
- Hastings, M. G., Gu, J., & Kolesik, M. (2019). Simulation of harmonic and supercontinuum generation in polycrystalline media. In 2019 IEEE Research and Applications of Photonics in Defense Conference (RAPID).
- Hastings, M. G., Moloney, J. V., Kolesik, M., Werner, K., Austin, D., Chowdhury, E., Schweinsberg, A., Wilmer, B. L., Wolfe, C. M., Vanderhoef, L., & others, . (2019). Modeling Harmonic Generation in Poly crystalline ZnSe. In 2019 Conference on Lasers and Electro-Optics (CLEO).
- Panagiotopoulos, P., Rosenow, P., Tochitsky, S., Koch, S. W., Wright, E. W., Kolesik, M., & Moloney, J. V. (2019). 10 micron filaments in the atmosphere: Modeling perspective. In 2019 IEEE Research and Applications of Photonics in Defense Conference (RAPID).
- Tochitsky, S. Y., Welch, E. C., Polyanskiy, M. N., Pogorelsky, I. V., Panagiotopoulos, P., Kolesik, M., Wright, E. M., Koch, S. W., Moloney, J. V., & Joshi, C. (2019). Long-wave Infrared Megafilaments in Air. In Nonlinear Optics.
- Werner, K., Tripepi, M., Schweinsberg, A., Hastings, M., Vanderhoef, L., Wolfe, C., Ensley, T., Wilmer, B., Kolesik, M., Moloney, J., & others, . (2019). Generation of broad spectral components from midwave infrared ultrashort pulse laser propagation through ZnSe and ZnS. In Nonlinear Frequency Generation and Conversion: Materials and Devices XVIII, 10902.
- Eftekhar, M. A., Sanjabi-Eznaveh, Z., Antonio-Lopez, J. E., Aviles, H. L., Benis, S., Kolesik, M., Sch\"ulzgen, A., Wise, F. W., Correa, R. A., & Christodoulides, D. N. (2018). Accelerating nonlinear interactions in tapered multimode fibers. In CLEO: QELS\_Fundamental Science.
- Eznaveh, Z. S., Eftekhar, M. A., Lopez, J. A., Kolesik, M., Aviles, H. L., Wise, F. W., Christodoulides, D. N., & Correa, R. A. (2018). Blue-enhanced supercontinuum generation in a graded-index fluorine-doped multimode fiber. In 2018 Optical Fiber Communications Conference and Exposition (OFC).
- Panagiotopoulos, P., Rosenow, P., Schuh, K., Kolesik, M., Wright, E. M., Koch, S. W., & Moloney, J. V. (2018). Simulation of LWIR TW ultrashort pulses over kilometer ranges in the atmosphere. In Ultrafast Bandgap Photonics III, 10638.
- Bahl, A., Kolesik, M., Wahlstrand, J., & Milchberg, H. (2017). Theory-experiment comparison of a quantum based light-matter interaction model for optical filamentation. In Frontiers in Optics.
- Bahl, A., Wahlstrand, J. K., Milchberg, H. M., & Kolesik, M. (2017). Experiment-theory comparison and verification of metastable electronic state description of nonlinear optical response in atoms and molecules. In Nonlinear Optics.
- Moloney, J. V., Schuh, K., Panagiotopoulos, P., Kolesik, M., & Koch, S. W. (2017). Long range robust multi-terawatt MWIR and LWIR atmospheric light bullets. In Ultrafast Bandgap Photonics II, 10193.
- Rafailov, M. K., Freericks, J. K., Abdurazakov, O., Kemper, A. F., Yabana, K., Hagan, D. J., Reichert, M. C., Zhao, P., Pattanaik, H. S., Van, S., & others, . (2017). Ultrafast Bandgap Photonics II. In Proc. of SPIE Vol, 10193.
- Eftekhar, M. A., Mills, M. S., Wright, L. G., Kolesik, M., Correa, R. A., Wise, F. W., & Christodoulides, D. N. (2016). Versatile supercontinuum generation in parabolic multimode optical fibers. In Lasers and Electro-Optics (CLEO), 2016 Conference on.
- Kolesik, M., Brown, J., & Bahl, A. (2016). Modeling of ultrafast laser pulse propagation. In SPIE Defense+ Security.
- Mansuripur, M., Kolesik, M., & Jakobsen, P. (2016). Leaky modes of dielectric cavities. In SPIE Nanoscience+ Engineering.
- Parto, M., Eftekhar, M. A., Miri, M., Amezcua-Correa, R., Li, G., & Christodoulides, D. N. (2016). Zero-DGD multicore optical fibers. In CLEO: Applications and Technology.
- Faccio, D., Roger, T., Petev, M., Clerici, M., Morandotti, R., Legare, F., Majus, D., Tamosauskas, G., Dubietis, A., Couairon, A., & others, . (2014). Resonant Radiation from Collapsing Light Pulses and Spatiotemporal Light Bullets. In Laser Science, LTh3H--1.
- Faccio, D., Roger, T., Petev, M., Clerici, M., Morandotti, R., Legare, F., Majus, D., Tamosauskas, G., Dubietis, A., Couairon, A., & others, . (2014). Spatio-temporal Light Bullets in Bulk Media. In Nonlinear Photonics, NM3A--1.
- Kolesik, M. (2014). Non-perturbative time-domain modeling of light-matter interactions for computer simulation in extreme nonlinear optics. In Laser Science, LTh3H--4.
- Roger, T., Majus, D., Tamo\vsauskas, G., Dubietis, A., Genty, G., Kolesik, M., & Faccio, D. (2014). Extreme Events in Resonant Radiation from 3-dimensional light bullets. In CLEO: QELS\_Fundamental Science, FW3D--4.
Presentations
- Mansuripur, M., Kolesik, M., & Jakobsen, P. (2016, August). Spin and orbital angular momenta of trapped electromagnetic fields in leaky optical cavities. SPIE Optics & Photonics Symposium. San Diego, California.
- Kolesik, M. (2015, July). First-principle Models of Light-matter Interactions for Large-scale Computer Simulations in Extreme Nonlinear Optics. 2015 Progress in Electromagnetic Research Symposium on Photonics. Prague: PIERS.
- Kolesik, M. (2015, October). Light-matter interactions and optical filamentation.. Non-Linear Optics contractor meeting. Arlington.
- Kolesik, M. (2015, October). Mathematical Properties and Physical Interpretation of Quantum Metastable States. Nonlinear Optics contractor meeting. Arlington.
- Kolesik, M. (2014, 03/10/14 --- 03/14/14). Invited: Non-perturbative light-matter interactions in extreme nonlinear optics. Workshop on Mathematical Methods and Models in Laser Filamentation. Montreal, Canada.
- Kolesik, M. (2014, 05/17/14 --- 05/22/14). Invited: Pulse propagation and non-perturbative light-matter interaction modeling for extreme nonlinear optics. The Nonlinear Meeting 201. Heriot-Watt University, Edinburgh, UK.
- Kolesik, M. (2014, 08/17/14 --- 08/21/14). Invited: Ultrafast light-matter coupling in condensed and gaseous nonlinear media. SPIE Optics + Photonics 2014. SanDiego, U.S.A..
- Kolesik, M. (2014, 09/18/14 — 09/24/14). Invited: Non-Perturbative Light-Matter Interaction Model for Optical Filamentation. COFIL 2014, 5th International Symposium on Filamentation. Shanghai, China.
- Kolesik, M. (2014, 10/19/14 --- 10/23/14). Invited: Non-perturbative time-domain modeling of light-matter interactions for computer simulation in extreme nonlinear optics. Frontiers in Optics/Laser Science Conference. Tucson, U.S.A..