Finite-amplitude pulses in light guides with the quadratic profile of the refractive index

Mikhail A. Bisyarin; Ivan A. Molotkov

doi:10.1117/12.255536

22 October 1996 Finite-amplitude pulses in light guides with the quadratic profile of the refractive index

Mikhail A. Bisyarin, Ivan A. Molotkov

Proceedings Volume 2943, Gradient-Index Optics in Science and Engineering; (1996) https://doi.org/10.1117/12.255536
Event: Gradient-Index Optics in Science and Engineering, 1995, Kazimierz Dolny, Poland

Abstract

Weak nonlinear process of propagation of short optical pulses in graded-index light guides with the quadratic dependence of the refractive index on the transverse coordinate and a slight dependence on the longitudinal coordinate is modelled with the nonlinear wave equation. Transverse distribution of the wave field is shown to be characterized with the parabolic cylinder functions, and the nonlinear Schroedinger equation with variable coefficients is obtained for the pulse envelope. A solution of this equation describing a soliton pulse is found for a class of longitudinal inhomogeneities and formulae are presented for variations of amplitude, shape and velocity of the pulse during its propagation.

Citation Download Citation

Mikhail A. Bisyarin and Ivan A. Molotkov "Finite-amplitude pulses in light guides with the quadratic profile of the refractive index", Proc. SPIE 2943, Gradient-Index Optics in Science and Engineering, (22 October 1996); https://doi.org/10.1117/12.255536

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