Abstract
Nonlinear dynamical system corresponding to the optical holography in a nonlocal nonlinear medium with dissipation contains stable localized spatio-temporal states, namely the grid dissipative solitons. These solitons display a non-uniform profile of the grating amplitude, which has the form of the dark soliton in the reflection geometry. The transformation of the grating amplitude gives rise many new atypical effects for the beams diffracted on such grating, and they are very suitable for the fiber Brass gratings. The damped nonlinear Schrodinger equation is derived that describes the properties of the grid dissipative soliton.
Highlights
Fiber Bragg gratings (FBG) are very popular in the contemporary applications
We show that the answers to these questions may be found in consideration of the dynamic holography
We show that the proposed dynamical system is an effective tool for modeling many effects of wave interaction in FBG
Summary
Fiber Bragg gratings (FBG) are very popular in the contemporary applications. FBG is an extended Bragg reflection grating formed in a fiber core. The grid dissipative soliton can be formed on the Bragg reflection grating during the wave-interaction in a dynamic dissipative medium. These solitons are very suitable for the FBG. If the nonlinear medium possesses a nonlocal response, i.e. the matter grating is shifted relative to the light grating in a space, the localized stated are emerging in such system. They display the non-uniform profile of the dynamical grating amplitude. The obtained damped NLS equation describes the properties of the grid dissipative soliton
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