SPECTRAL PROTOTYPES OFMAXWELL EQUATIONS IN DIELECTRICMEDIUMWITH NON-RESONANCE DISPERSION AND INSTANTANEOUS CUBICAL NONLINEARITY

Dmitry V. Ivanov, Kozlov Sergei A

2009 , VOLUME 09, NUMBER 4 ( JULE-AUGUST )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Nikiforov
Vladimir O.
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SPECTRAL PROTOTYPES OFMAXWELL EQUATIONS IN DIELECTRICMEDIUMWITH NON-RESONANCE DISPERSION AND INSTANTANEOUS CUBICAL NONLINEARITY

D. V. Ivanov, S. A. Kozlov

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Abstract

From Maxwell equations we deduced the combined equations describing the evolution of overlarge space-time

spectra of light waves in homogeneous isotropic dielectric medium with arbitrary dependence of linear index of

refraction and instantaneous cubical nonlinearity. We’ve got analytical iterative solution of the acquired

combined equations. Solutions of the linearized combined equations are illustrated by the results of numerical

simulation of femtosecond wave packet of a few optical oscillations propagation in a fused silica.

Keywords: nonparaxiality, femtosecond pulse, space-time spectra, cubical nonlinearity, overlarge spectra, iterative solution, nearby infrared range, optical glass, dispersion broadening, diffraction broadening.

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