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19 June 1995 Numerical simulations of nonparaxial beam self-action and transverse pattern formation in nonlinear media
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Abstract
A new numerical method is suggested for wide-angle beam propagation and transverse pattern formation in nonlinear media described by the Helmholtz scalar wave equation. The method is based on the Gauss-Laguerre decomposition of the transverse beam profile and solution of the set of ordinary differential equations for modal coefficients. The total field including the forward and backward waves is calculated. The role of the backward waves in wide-angle Kerr self-focusing is investigated. It is shown that within the range of parameters used in previous numerical studies no evidence for the backward reflection of the beam by the focal region arises. This agrees with the estimates of the refraction index variation near the self- focus.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Vladimir L. Derbov and Leonid A. Melnikov "Numerical simulations of nonparaxial beam self-action and transverse pattern formation in nonlinear media", Proc. SPIE 2399, Physics and Simulation of Optoelectronic Devices III, (19 June 1995); https://doi.org/10.1117/12.212520
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