23 June 1999 Nonlinear diffraction of strong-focusing light beams
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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 fist, it is introduced for the case of linear media. The ones approximation of the forward propagation is used. It is shown that derived equation in the case of light beams with the great diameter transforms to the well-known parabolic equation, thus our equation is a generalization of the parabolic equation for a case of nonparaxial light beams. The new approach is generalized also for the case of media with the cubical nonlinearity. It is applied for an analysis of the self- focusing phenomenon.
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Anton N. Charushin, Anton N. Charushin, Sergei A. Kozlov, Sergei A. Kozlov, Constantin R. Simovski, Constantin R. Simovski, } "Nonlinear diffraction of strong-focusing light beams", Proc. SPIE 3609, Optical Pulse and Beam Propagation, (23 June 1999); doi: 10.1117/12.351065; https://doi.org/10.1117/12.351065

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