Exact Bidirectional X -Wave Solutions In Fiber Bragg Gratings

Abstract

We find exact solutions describing bidirectional pulses propagating in fiber Bragg gratings. They are derived by solving the coupled-mode theory equations and are expressed in terms of products of modified Bessel functions with algebraic functions. Depending on the values of the two free parameters, the general bidirectional X-wave solution can also take the form of a unidirectional pulse. We analyze the symmetries and the asymptotic properties of the solutions and also discuss additional waveforms that are obtained by interference of more than one solution. Depending on their parameters, such pulses can create a sharp focus with high contrast.

Publication Date

10-10-2017

Publication Title

Physical Review A

Volume

96

Issue

4

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevA.96.043820

Socpus ID

85031754546 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85031754546

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