On an explicit method for the numerical solution of problems of light wave propagation in nonlinear media

On an explicit method for the numerical solution of problems of light wave propagation in nonlinear media

Attention is given to a method for the numerical solution of problems of axisymmetric-beam propagation in media with positive cubic nonlinearity on the basis of the parabolic-equation approach. A numerical experiment shows that the use of a mobile Lagrangian grid renders explicit methods of numerica...

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Veröffentlicht in:Z̆urnal vyc̆islitelʹnoj matematiki i matematic̆eskoj fiziki 1983-05, Vol.23, p.743-748
Hauptverfasser: VASILKOV, A G, DANILEIKO, I U K, Lebedeva, T P, Romanov, M F
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Sprache:rus
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container_title Z̆urnal vyc̆islitelʹnoj matematiki i matematic̆eskoj fiziki
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creator VASILKOV, A G
DANILEIKO, I U K
Lebedeva, T P
Romanov, M F
description Attention is given to a method for the numerical solution of problems of axisymmetric-beam propagation in media with positive cubic nonlinearity on the basis of the parabolic-equation approach. A numerical experiment shows that the use of a mobile Lagrangian grid renders explicit methods of numerical solution stable. It is noted that this approach can be used to solve a large number of problems concerning the self-focusing of light beams with different intensity and phase profiles upon entering the nonlinear medium.
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title On an explicit method for the numerical solution of problems of light wave propagation in nonlinear media
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