Quantization and soliton-like solutions for the $\Phi\Psi$-model in a optic fiber
High Energy Physics - Theory
2021-04-28 v1 Mathematical Physics
math.MP
Abstract
In the framework of a mesoscopical model for dielectric media we provide an analytical description for the electromagnetic field confined in a cylindrical cavity containing a finite dielectric sample. This system is apted to simulate the electromagnetic field in a optic fiber, in which two different regions, a vacuum region and a dielectric one, appear. A complete description for the scattering basis is introduced, together with field quantization and the two-point function. Furthermore, we also determine soliton-like solutions in the dielectric, propagating in the sample of nonlinear dielectric medium.
Keywords
Cite
@article{arxiv.2012.05203,
title = {Quantization and soliton-like solutions for the $\Phi\Psi$-model in a optic fiber},
author = {Francesco Belgiorno and Sergio Luigi Cacciatori and Simone Trevisan and Adriano Viganò},
journal= {arXiv preprint arXiv:2012.05203},
year = {2021}
}
Comments
21 pages, 4 figures