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.
Published Version
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