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arXiv · 1910.11934

Propagation of dipole solitons in inhomogeneous highly dispersive optical fiber media

Houria Triki·Vladimir I. Kruglov
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Abstract

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying second-, third-, and fourth-order dispersions, cubic nonlinearity, and linear gain or loss. We construct a new type of exact self-similar soliton solutions that takes the structure of dipole via a similarity transformation connected to the related constant-coefficients one. The conditions on the optical fiber parameters for the existence of these self-similar structures are also given. The results show that the contribution of all orders of dispersion is an important feature to form this kind of self-similar dipole pulse shape. The dynamic behaviors of the self-similar dipole solitons in a periodic distributed amplification system are analyzed. The significance of the obtained self-similar pulses is also discussed.

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Houria Triki, Vladimir I. Kruglov. 2019-10-21. Propagation of dipole solitons in inhomogeneous highly dispersive optical fiber media. https://doi.org/10.1103/physreve.101.042220

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