Weak-nonlinear propagation of subpicosecond pulses in graded-index light guides with a small longitudinal inhomogeneity

Mikhail A. Bisyarin; Ivan A. Molotkov

doi:10.1117/12.382058

14 April 2000 Weak-nonlinear propagation of subpicosecond pulses in graded-index light guides with a small longitudinal inhomogeneity

Mikhail A. Bisyarin, Ivan A. Molotkov

Author Affiliations +

Proceedings Volume 3927, Optical Pulse and Beam Propagation II; (2000) https://doi.org/10.1117/12.382058
Event: Symposium on High-Power Lasers and Applications, 2000, San Jose, CA, United States

Abstract

A mathematical approach for modeling the subpicosecond pulse transmission in inhomogeneous optical fibers is suggested. Propagation of subpicosecond pulses is described under the assumption that they are affected by third-order dispersion and self-steepening. The pulse envelope is shown to obey a generalized nonlinear Schrodinger equation with additional terms characterizing the third-order dispersion and self- steepening of the pulse, and the Cauchy's problem for this equation with the initial values of the soliton type is investigated. Asymptotic solutions to this equation are constructed for the cases of (1) small third-order dispersion and self-steepening, and (2) short distances in the fiber for finite third-order dispersion and self- steepening. Phase distortions are considered for both cases as well.

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Mikhail A. Bisyarin and Ivan A. Molotkov "Weak-nonlinear propagation of subpicosecond pulses in graded-index light guides with a small longitudinal inhomogeneity", Proc. SPIE 3927, Optical Pulse and Beam Propagation II, (14 April 2000); https://doi.org/10.1117/12.382058

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