Paper
22 December 1998 Nonlinear diffraction of nonparaxial light beams
Anton N. Charushin, Sergey Vladimorovich Egorov, Sergei A. Kozlov, Constantin R. Simovski
Author Affiliations +
Proceedings Volume 3574, XII International Symposium on Gas Flow and Chemical Lasers and High-Power Laser Conference; (1998) https://doi.org/10.1117/12.334413
Event: Twelfth International Symposium on Gas Flow and Chemical Lasers and High-Power Laser Conference, 1998, St. Petersburg, Russian Federation
Abstract
A new integro-differential equation with the only first order derivative describing diffraction of arbitrary transversely nonuniform light beam in the homogeneous transparent medium is obtained. At first, it is introduced for the case of linear media. The ones approximation of the forward propagation is used (so the case of backward propagation is excluded). It is shown that derived equation in the case of light beams with the great diameter transforms to the well-known parabolic equation. The new approach is generalized also for the case of nonlinear media. Thus, the new truncated wave equation describing the diffraction of nonparaxial light beams in the nonlinear media is obtained.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Anton N. Charushin, Sergey Vladimorovich Egorov, Sergei A. Kozlov, and Constantin R. Simovski "Nonlinear diffraction of nonparaxial light beams", Proc. SPIE 3574, XII International Symposium on Gas Flow and Chemical Lasers and High-Power Laser Conference, (22 December 1998); https://doi.org/10.1117/12.334413
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KEYWORDS
Diffraction

Light wave propagation

Transform theory

Beam propagation method

Nonlinear optics

Bessel functions

Differential equations

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