Propagation of partially spatially coherent laser beams in instantaneous Kerr media

Hafizi, Bahman; Isaacs, Joshua J.; Younis, Daniel; Johnson, Luke A.; Kaganovich, Dmitri; Palastro, John P.

doi:10.1103/bnyf-rrmf

Title: Propagation of partially spatially coherent laser beams in instantaneous Kerr media

Journal Article · Tue Feb 17 00:00:00 UTC 2026 · Physical Review A

DOI: https://doi.org/10.1103/bnyf-rrmf · OSTI ID:3022025

^[1]; Isaacs, Joshua J. ^[1];

^[1]; Johnson, Luke A. ^[2];

^[1];

^[3]

Naval Research Lab. (NRL), Washington, DC (United States)
MITRE Corporation, McLean, VA (United States)
Univ. of Rochester, NY (United States). Lab. for Laser Energetics

The propagation of intense, partially spatially coherent laser beams in a medium with instantaneous third-order susceptibility is studied analytically and numerically. For sufficiently high power relative to that required for nonlinear self-focusing, the propagation initially proceeds in two stages. In the first stage, spatial coherence builds up, and in the second stage, the number of speckles reduces. Once the degree of coherence is sufficiently high, whole-beam self-focusing occurs. The beam power is mostly confined within the initial spot radius. Two analytical approaches for describing the evolution of the beam are presented. The method of moments leads to an analytical solution for the rms spot radius that is in excellent agreement with simulations. This method does not require any knowledge of the field statistics beyond the initial conditions and provides no information about the evolution of the individual speckles. The other approach employs a self-similar solution for the second-order coherence function of the field and assumes that the fourth-order coherence function is factorizable and obeys complex circular Gaussian random statistics. The latter method also leads to an analytical expression for the spot radius, but its predictions for the qualitative evolution of the speckles disagree with wave-optics simulations.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0004144

OSTI ID:: 3022025

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 2 Vol. 113; ISSN 2469-9934; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (93)

Nonseparable States of Light: From Quantum to Classical Shen, Yijie; Rosales‐Guzmán, Carmelo Laser & Photonics Reviews, Vol. 16, Issue 7 https://doi.org/10.1002/lpor.202100533	journal	April 2022
A Robust Basis for Multi‐Bit Optical Communication with Vectorial Light (Laser Photonics Rev. 17(6)/2023) Singh, Keshaan; Nape, Isaac; Buono, Wagner Tavares Laser & Photonics Reviews, Vol. 17, Issue 6 https://doi.org/10.1002/lpor.202370027	journal	June 2023
Averaged description of wave beams in linear and nonlinear media (the method of moments) Vlasov, S. N.; Petrishchev, V. A.; Talanov, V. I. Radiophysics and Quantum Electronics, Vol. 14, Issue 9 https://doi.org/10.1007/BF01029467	journal	September 1971
Self-focusing of light beams without axial symmetry Vorob'ev, V. V. Radiophysics and Quantum Electronics, Vol. 13, Issue 12 https://doi.org/10.1007/BF01033004	journal	December 1970
Statistics of semicoherent radiation in medium with cubic nonlinearity Kandidov, V. P.; Shlenov, S. A. Radiophysics and Quantum Electronics, Vol. 27, Issue 9 https://doi.org/10.1007/BF01041392	journal	September 1984
Diffraction by a random phase-changing screen: A numerical experiment Buckley, R. Journal of Atmospheric and Terrestrial Physics, Vol. 37, Issue 11 https://doi.org/10.1016/0021-9169(75)90074-4	journal	November 1975
Modal expansion for J0-correlated Schell-model sources Gori, F.; Guattari, G.; Padovani, C. Optics Communications, Vol. 64, Issue 4 https://doi.org/10.1016/0030-4018(87)90242-2	journal	November 1987
The change of width for a partially coherent beam on paraxial propagation Gori, F.; Santarsiero, M.; Sona, A. Optics Communications, Vol. 82, Issue 3-4 https://doi.org/10.1016/0030-4018(91)90444-I	journal	April 1991
Wave collapse in physics: principles and applications to light and plasma waves Bergé, Luc Physics Reports, Vol. 303, Issue 5-6 https://doi.org/10.1016/S0370-1573(97)00092-6	journal	September 1998
Unified theory of coherence and polarization of random electromagnetic beams Wolf, Emil Physics Letters A, Vol. 312, Issue 5-6 https://doi.org/10.1016/S0375-9601(03)00684-4	journal	June 2003
Effect of atmospheric turbulence on modulational instability in laser-pulse propagation Bourdier, Alain; Diels, Jean-Claude; Ghalila, Hassen Physica D: Nonlinear Phenomena, Vol. 457 https://doi.org/10.1016/j.physd.2023.133974	journal	January 2024
Optical Coherence and Quantum Optics Mandel, Leonard; Wolf, Emil https://doi.org/10.1017/CBO9781139644105	book	January 1995
Two‐frequency mutual coherence function and pulse propagation in a random medium: An analytic solution to the plane wave case Sreenivasiah, I.; Ishimaru, Akira; Hong, Shin Tsy Radio Science, Vol. 11, Issue 10 https://doi.org/10.1029/RS011i010p00775	journal	October 1976
Incoherent spatial solitons in effectively instantaneous nonlinear media Rotschild, Carmel; Schwartz, Tal; Cohen, Oren Nature Photonics, Vol. 2, Issue 6 https://doi.org/10.1038/nphoton.2008.81	journal	May 2008
Spatial beam self-cleaning in multimode fibres Krupa, K.; Tonello, A.; Shalaby, B. M. Nature Photonics, Vol. 11, Issue 4 https://doi.org/10.1038/nphoton.2017.32	journal	March 2017
Structured light Forbes, Andrew; de Oliveira, Michael; Dennis, Mark R. Nature Photonics, Vol. 15, Issue 4 https://doi.org/10.1038/s41566-021-00780-4	journal	March 2021
Revealing the invariance of vectorial structured light in complex media Nape, Isaac; Singh, Keshaan; Klug, Asher Nature Photonics, Vol. 16, Issue 7 https://doi.org/10.1038/s41566-022-01023-w	journal	June 2022
Observation of spatial nonlinear self-cleaning in a few-mode step-index fiber for special distributions of initial excited modes Mohammadzahery, Zahra; Jandaghi, Maryam; Aghayari, Ebrahim Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-03856-x	journal	December 2021
Turbulence-free ghost imaging Meyers, Ronald E.; Deacon, Keith S.; Shih, Yanhua Applied Physics Letters, Vol. 98, Issue 11 https://doi.org/10.1063/1.3567931	journal	March 2011
Experimentally generating any desired partially coherent Schell-model source using phase-only control Hyde, Milo W.; Basu, Santasri; Voelz, David G. Journal of Applied Physics, Vol. 118, Issue 9 https://doi.org/10.1063/1.4929811	journal	September 2015
Laser guiding in an axially nonuniform plasma channel Liu, C. S.; Tripathi, V. K. Physics of Plasmas, Vol. 1, Issue 9 https://doi.org/10.1063/1.870501	journal	September 1994
Nonlinear propagation of self-guided ultra-short pulses in ionized gases Bergé, L.; Couairon, A. Physics of Plasmas, Vol. 7, Issue 1 https://doi.org/10.1063/1.873816	journal	January 2000
Self-Focusing and Diffraction of Light in a Nonlinear Medium Akhmanov, S. A.; Sukhorukov, Anatolii P.; Khokhlov, R. V. Soviet Physics Uspekhi, Vol. 10, Issue 5 https://doi.org/10.1070/PU1968v010n05ABEH005849	journal	May 1968
Monte Carlo method in nonlinear statistical optics Kandidov, V. P. Physics-Uspekhi, Vol. 39, Issue 12 https://doi.org/10.1070/PU1996v039n12ABEH000185	journal	December 1996
Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics Klyatskin, Valerii I. Physics-Uspekhi, Vol. 47, Issue 2 https://doi.org/10.1070/PU2004v047n02ABEH001685	journal	February 2004
Fluctuations of laser radiation intensity reflected from a turbulent atmosphere Aksenov, V. P.; Banakh, Viktor A.; Mironov, V. L. Soviet Journal of Quantum Electronics, Vol. 6, Issue 10 https://doi.org/10.1070/QE1976v006n10ABEH011955	journal	October 1976
Self-interaction of a noncoherent light beam Aleshkevich, Viktor A.; Lebedev, S. S.; Matveev, A. N. Soviet Journal of Quantum Electronics, Vol. 11, Issue 5 https://doi.org/10.1070/QE1981v011n05ABEH006952	journal	May 1981
Propagation of a Gaussian-Schell Beam Through Turbulent Media Jian, Wu Journal of Modern Optics, Vol. 37, Issue 4 https://doi.org/10.1080/09500349014550751	journal	April 1990
Interplanetary Scintillations. I. Theory Salpeter, E. E. The Astrophysical Journal, Vol. 147 https://doi.org/10.1086/149027	journal	February 1967
Scintillation reduction for laser beams propagating through turbulent atmosphere Berman, G. P.; Gorshkov, V. N.; Torous, S. V. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 5 https://doi.org/10.1088/0953-4075/44/5/055402	journal	February 2011
Laser beam self-symmetrization in air in the multifilamentation regime Milián, C.; Jukna, V.; Couairon, A. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 48, Issue 9 https://doi.org/10.1088/0953-4075/48/9/094013	journal	April 2015
A method of generating electromagnetic Gaussian Schell-model beams Shirai, Tomohiro; Korotkova, Olga; Wolf, Emil Journal of Optics A: Pure and Applied Optics, Vol. 7, Issue 5 https://doi.org/10.1088/1464-4258/7/5/004	journal	March 2005
Adaptive Optics for Astronomical Telescopes Hardy, John W. https://doi.org/10.1093/oso/9780195090192.001.0001	book	July 1998
The Quantum Theory of Optical Coherence Glauber, Roy J. Physical Review, Vol. 130, Issue 6 https://doi.org/10.1103/PhysRev.130.2529	journal	June 1963
Coherent and Incoherent States of the Radiation Field Glauber, Roy J. Physical Review, Vol. 131, Issue 6 https://doi.org/10.1103/PhysRev.131.2766	journal	September 1963
Dark and bright photovoltaic spatial solitons Valley, George C.; Segev, Mordechai; Crosignani, Bruno Physical Review A, Vol. 50, Issue 6 https://doi.org/10.1103/PhysRevA.50.R4457	journal	December 1994
Optical imaging by means of two-photon quantum entanglement Pittman, T. B.; Shih, Y. H.; Strekalov, D. V. Physical Review A, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevA.52.R3429	journal	November 1995
Unified theory of ghost imaging with Gaussian-state light Erkmen, Baris I.; Shapiro, Jeffrey H. Physical Review A, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevA.77.043809	journal	April 2008
Condensation and thermalization of classsical optical waves in a waveguide Aschieri, P.; Garnier, J.; Michel, C. Physical Review A, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevA.83.033838	journal	March 2011
Generation of Vector Partially Coherent Optical Sources Using Phase-Only Spatial Light Modulators Hyde, Milo W.; Bose-Pillai, Santasri; Voelz, David G. Physical Review Applied, Vol. 6, Issue 6 https://doi.org/10.1103/PhysRevApplied.6.064030	journal	December 2016
Propagation of intense short laser pulses in the atmosphere Sprangle, P.; Peñano, J. R.; Hafizi, B. Physical Review E, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevE.66.046418	journal	October 2002
Nonlinear optical pulse propagation simulation: From Maxwell’s to unidirectional equations Kolesik, M.; Moloney, J. V. Physical Review E, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevE.70.036604	journal	September 2004
Beam wandering in the atmosphere: The effect of partial coherence Berman, G. P.; Chumak, A. A.; Gorshkov, V. N. Physical Review E, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevE.76.056606	journal	November 2007
Hydrodynamic 2D Turbulence and Spatial Beam Condensation in Multimode Optical Fibers Podivilov, E. V.; Kharenko, D. S.; Gonta, V. A. Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/PhysRevLett.122.103902	journal	March 2019
Self-Trapping of Partially Spatially Incoherent Light Mitchell, Matthew; Chen, Zhigang; Shih, Ming-feng Physical Review Letters, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevLett.77.490	journal	July 1996
Nonlinear Optical Pulse Propagation in the Single-Cycle Regime Brabec, Thomas; Krausz, Ferenc Physical Review Letters, Vol. 78, Issue 17 https://doi.org/10.1103/PhysRevLett.78.3282	journal	April 1997
Theory of Incoherent Self-Focusing in Biased Photorefractive Media Christodoulides, Demetrios N.; Coskun, Tamer H.; Mitchell, Matthew Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.646	journal	January 1997
Radiation Transfer Model of Self-Trapping Spatially Incoherent Radiation by Nonlinear Media Shkunov, Vladimir V.; Anderson, Dana Z. Physical Review Letters, Vol. 81, Issue 13 https://doi.org/10.1103/PhysRevLett.81.2683	journal	September 1998
Collapse of Incoherent Light Beams in Inertial Bulk Kerr Media Bang, Ole; Edmundson, Darran; Królikowski, Wieslaw Physical Review Letters, Vol. 83, Issue 26 https://doi.org/10.1103/PhysRevLett.83.5479	journal	December 1999
Modulation Instability of Incoherent Beams in Noninstantaneous Nonlinear Media Soljacic, Marin; Segev, Mordechai; Coskun, Tamer Physical Review Letters, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevLett.84.467	journal	January 2000
Unidirectional Optical Pulse Propagation Equation Kolesik, M.; Moloney, J. V.; Mlejnek, M. Physical Review Letters, Vol. 89, Issue 28 https://doi.org/10.1103/PhysRevLett.89.283902	journal	December 2002
Self-focusing and guiding of short laser pulses in ionizing gases and plasmas Esarey, E.; Sprangle, P.; Krall, J. IEEE Journal of Quantum Electronics, Vol. 33, Issue 11 https://doi.org/10.1109/3.641305	journal	January 1997
Electromagnetic beam propagation in turbulent media Fante, R. L. Proceedings of the IEEE, Vol. 63, Issue 12 https://doi.org/10.1109/PROC.1975.10035	journal	January 1975
Model for a partially coherent Gaussian beam in atmospheric turbulence with application in Lasercom Korotkova, Olga Optical Engineering, Vol. 43, Issue 2 https://doi.org/10.1117/1.1636185	journal	February 2004
Robust structured light in atmospheric turbulence Klug, Asher; Peters, Cade; Forbes, Andrew Advanced Photonics, Vol. 5, Issue 01 https://doi.org/10.1117/1.AP.5.1.016006	journal	February 2023
Development And Modification Of Photorefractive Properties In The Tungsten Bronze Family Crystals Neurgaonkar, Ratnakar R.; Cory, W. K.; Oliver, J. R. Optical Engineering, Vol. 26, Issue 5 https://doi.org/10.1117/12.7974088	journal	May 1987
Laser Beam Propagation through Random Media Andrews, Larry C.; Phillips, Ronald L. https://doi.org/10.1117/3.626196	book	January 2005
Thermal self-action of laser beams and filamentation of pulses in turbulent atmosphere Kandidov, V. P.; Shlenov, S. A. Atmospheric and Oceanic Optics, Vol. 25, Issue 3 https://doi.org/10.1134/S1024856012030062	journal	May 2012
Irradiance scintillations of a partially coherent source in extremely strong turbulence Wang, S. C. H.; Plonus, M. A.; Ouyang, C. F. Applied Optics, Vol. 18, Issue 8 https://doi.org/10.1364/AO.18.001133	journal	April 1979
Realization of nontrivial partial spatial coherence by a deformable mirror Schreyer, Benjamin; Younis, Daniel; Kaganovich, Dmitri Applied Optics, Vol. 64, Issue 18 https://doi.org/10.1364/AO.557755	journal	June 2025
Physical model for strong optical-amplitude fluctuations in a turbulent medium Yura, H. T. Journal of the Optical Society of America, Vol. 64, Issue 1 https://doi.org/10.1364/JOSA.64.000059	journal	January 1974
Saturation of optical scintillation by strong turbulence* Clifford, S. F.; Ochs, G. R.; Lawrence, R. S. Journal of the Optical Society of America, Vol. 64, Issue 2 https://doi.org/10.1364/JOSA.64.000148	journal	February 1974
New theory of partial coherence in the space–frequency domain Part I: spectra and cross spectra of steady-state sources Wolf, Emil Journal of the Optical Society of America, Vol. 72, Issue 3 https://doi.org/10.1364/JOSA.72.000343	journal	January 1982
Spreading of partially coherent beams in random media Gbur, Greg; Wolf, Emil Journal of the Optical Society of America A, Vol. 19, Issue 8 https://doi.org/10.1364/JOSAA.19.001592	journal	August 2002
Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication Ricklin, Jennifer C.; Davidson, Frederic M. Journal of the Optical Society of America A, Vol. 19, Issue 9 https://doi.org/10.1364/JOSAA.19.001794	journal	September 2002
Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence Shirai, Tomohiro; Dogariu, Aristide; Wolf, Emil Journal of the Optical Society of America A, Vol. 20, Issue 6 https://doi.org/10.1364/JOSAA.20.001094	journal	June 2003
Angular spectrum representation for the propagation of arbitrary coherent and partially coherent beams through atmospheric turbulence Gbur, Greg; Korotkova, Olga Journal of the Optical Society of America A, Vol. 24, Issue 3 https://doi.org/10.1364/JOSAA.24.000745	journal	February 2007
Angular spectrum representation for propagation of random electromagnetic beams in a turbulent atmosphere Korotkova, Olga; Gbur, Greg Journal of the Optical Society of America A, Vol. 24, Issue 9 https://doi.org/10.1364/JOSAA.24.002728	journal	January 2007
Propagation of Bessel and Airy beams through atmospheric turbulence Nelson, W.; Palastro, J. P.; Davis, C. C. Journal of the Optical Society of America A, Vol. 31, Issue 3 https://doi.org/10.1364/JOSAA.31.000603	journal	February 2014
Partially coherent beam propagation in atmospheric turbulence [Invited] Gbur, Greg Journal of the Optical Society of America A, Vol. 31, Issue 9 https://doi.org/10.1364/JOSAA.31.002038	journal	January 2014
Generation and propagation of partially coherent beams with nonconventional correlation functions: a review [Invited] Cai, Yangjian; Chen, Yahong; Wang, Fei Journal of the Optical Society of America A, Vol. 31, Issue 9 https://doi.org/10.1364/JOSAA.31.002083	journal	August 2014
Propagation of polarized waves in inhomogeneous media Charnotskii, Mikhail Journal of the Optical Society of America A, Vol. 33, Issue 7 https://doi.org/10.1364/JOSAA.33.001385	journal	June 2016
Stochastic complex transmittance screens for synthesizing general partially coherent sources Hyde, Milo W. Journal of the Optical Society of America A, Vol. 37, Issue 2 https://doi.org/10.1364/JOSAA.381772	journal	January 2020
Propagation of partially coherent Gaussian Schell-model sources in nonlinear media Nayyar, V. P. Journal of the Optical Society of America B, Vol. 14, Issue 9 https://doi.org/10.1364/JOSAB.14.002248	journal	September 1997
Propagation and amplification of incoherent pulses in dispersive and nonlinear media Garnier, J.; Videau, L.; Gouédard, C. Journal of the Optical Society of America B, Vol. 15, Issue 11 https://doi.org/10.1364/JOSAB.15.002773	journal	November 1998
(1+1)-Dimensional modulation instability of spatially incoherent light Kip, Detlef; Soljačić, Marin; Segev, Mordechai Journal of the Optical Society of America B, Vol. 19, Issue 3 https://doi.org/10.1364/JOSAB.19.000502	journal	March 2002
Propagation of partially coherent light with the Maxwell–Debye equation Garnier, Josselin; Ayanides, Jean-Philippe; Morice, Olivier Journal of the Optical Society of America B, Vol. 20, Issue 7 https://doi.org/10.1364/JOSAB.20.001409	journal	July 2003
Nonlinear propagation of chirped laser pulses through a dispersive and turbulent atmosphere Hafizi, B.; Isaacs, J.; Palastro, J. P. Journal of the Optical Society of America B, Vol. 41, Issue 6 https://doi.org/10.1364/JOSAB.515777	journal	May 2024
M^2-factor of coherent and partially coherent dark hollow beams propagating in turbulent atmosphere Yuan, Yangsheng; Cai, Yangjian; Qu, Jun Optics Express, Vol. 17, Issue 20 https://doi.org/10.1364/OE.17.017344	journal	September 2009
Pulse-by-pulse method to characterize partially coherent pulse propagation in instantaneous nonlinear media Lajunen, Hanna; Torres-Company, Víctor; Lancis, Jesús Optics Express, Vol. 18, Issue 14 https://doi.org/10.1364/OE.18.014979	journal	June 2010
On the resilience of scalar and vector vortex modes in turbulence Cox, Mitchell A.; Rosales-Guzmán, Carmelo; Lavery, Martin P. J. Optics Express, Vol. 24, Issue 16 https://doi.org/10.1364/OE.24.018105	journal	July 2016
Modeling the propagation of a high-average-power train of ultrashort laser pulses Isaacs, J.; Hafizi, B.; Johnson, L. A. Optics Express, Vol. 30, Issue 13 https://doi.org/10.1364/OE.443989	journal	June 2022
Propagation of partially coherent beams: turbulence-induced degradation Dogariu, Aristide; Amarande, Stefan Optics Letters, Vol. 28, Issue 1 https://doi.org/10.1364/OL.28.000010	journal	January 2003
Ghost interference with partially coherent radiation Cai, Yangjian; Zhu, Shi-Yao Optics Letters, Vol. 29, Issue 23 https://doi.org/10.1364/OL.29.002716	journal	December 2004
Spatial mode cleaning by femtosecond filamentation in air Prade, B.; Franco, M.; Mysyrowicz, A. Optics Letters, Vol. 31, Issue 17 https://doi.org/10.1364/OL.31.002601	journal	January 2006
Devising genuine spatial correlation functions Gori, F.; Santarsiero, M. Optics Letters, Vol. 32, Issue 24 https://doi.org/10.1364/OL.32.003531	journal	December 2007
Scintillation of nonuniformly polarized beams in atmospheric turbulence Gu, Yalong; Korotkova, Olga; Gbur, Greg Optics Letters, Vol. 34, Issue 15 https://doi.org/10.1364/OL.34.002261	journal	July 2009
Nonlinear focusing and defocusing of partially coherent spatial beams Sun, Can; Dylov, Dmitry V.; Fleischer, Jason W. Optics Letters, Vol. 34, Issue 19 https://doi.org/10.1364/OL.34.003003	journal	September 2009
Reduction of turbulence-induced scintillation by nonuniformly polarized beam arrays Gu, Yalong; Gbur, Greg Optics Letters, Vol. 37, Issue 9 https://doi.org/10.1364/OL.37.001553	journal	May 2012
Stimulated Raman scattering and nonlinear focusing of high-power laser beams propagating in water Hafizi, B.; Palastro, J. P.; Peñano, J. R. Optics Letters, Vol. 40, Issue 7 https://doi.org/10.1364/OL.40.001556	journal	January 2015
Fluctuations of the orbital angular momentum of a laser beam registered by a finite-size receiver aperture after propagation through a turbulent atmosphere Aksenov, V. P.; Dudurov, V. V.; Kolosov, V. V. OSA Continuum, Vol. 4, Issue 7 https://doi.org/10.1364/OSAC.430142	journal	June 2021
Self-action of partly coherent laser radiation Aleshkevich, V. A.; Kozhoridze, G. D.; Matveev, A. N. Uspekhi Fizicheskih Nauk, Vol. 161, Issue 9 https://doi.org/10.3367/UFNr.0161.199109b.0081	journal	January 1991
The behavior of partially coherent twisted space-time beams in atmospheric turbulence Hyde IV, Milo W. Frontiers in Physics, Vol. 10 https://doi.org/10.3389/fphy.2022.1055401	journal	January 2023

Similar Records

Intrinsic bending of a laser beam in a flowing plasma

Journal Article · Wed Jul 01 04:00:00 UTC 1998 · Physics of Plasmas · OSTI ID:636162

Bezzerides, B

Statistical spatial properties of speckle patterns generated by multiple laser beams

Journal Article · Mon Aug 15 04:00:00 UTC 2011 · Physics of Plasmas · OSTI ID:22043416

Le Cain, A; Sajer, J M; Riazuelo, G

Speckle dynamics for dual-beam optical illumination of a rotating structure

Journal Article · Wed Apr 01 04:00:00 UTC 2009 · Applied Optics · OSTI ID:21176090

Jakobsen, Michael L; Yura, Harold T; Hanson, Steen G

Related Subjects

lasers
light propagation in random media
nonlinear optics
optical coherence
optics
spatial profiles of optical beams

Title: Propagation of partially spatially coherent laser beams in instantaneous Kerr media

Citation Formats

References (93)

Similar Records

Related Subjects