Spatial vector solitons in nonlinear photonic crystal fibers

Details Spatial vector solitons in nonlinear photonic crystal fibers Spatial vector solitons in nonlinear photonic crystal fibers

2005-01-17

arxiv.org/abs/nlin/0501033v2

Nonlinear Sciences

Pattern Formation and Solitons

New version after revision: two references added, few typos corrected and some minor corrections introduced. 9 pages, 4 figure

Scientific paper

We study spatial vector solitons in a photonic crystal fiber (PCF) made of a material with the focusing Kerr nonlinearity. We show that such two-component localized nonlinear waves consist of two mutually trapped components confined by the PCF linear and the self-induced nonlinear refractive indices, and they bifurcate from the corresponding scalar solitons. We demonstrate that, in a sharp contrast with an entirely homogeneous nonlinear Kerr medium where both scalar and vector spatial solitons are unstable and may collapse, the periodic structure of PCF can stabilize the otherwise unstable two-dimensional spatial optical solitons. We apply the matrix criterion for stability of these two-parameter solitons, and verify it by direct numerical simulations.

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