Quantization and soliton-like solutions for the $$\Phi \Psi $$ Φ Ψ -model in an optic fiber

Francesco Belgiorno (Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo 32, Milan, 20133, Italy; INdAM-GNFM, Città Universitaria-P.le Aldo Moro 5, Roma, 00185, Italy; INFN sezione di Milano, via Celoria 16, Milan, 20133, Italy) ; Sergio Cacciatori (Department of Science and High Technology, Università dell’Insubria, Via Valleggio 11, Como, 22100, Italy; INFN sezione di Milano, via Celoria 16, Milan, 20133, Italy) ; Simone Trevisan (Department of Science and High Technology, Università dell’Insubria, Via Valleggio 11, Como, 22100, Italy; INFN sezione di Milano, via Celoria 16, Milan, 20133, Italy) ; Adriano Viganò (INFN sezione di Milano, via Celoria 16, Milan, 20133, Italy; Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, Milan, 20133, Italy)

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.

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      "title": "Quantization and soliton-like solutions for the  $$\\Phi \\Psi $$  <math> <mrow> <mi>\u03a6</mi> <mi>\u03a8</mi> </mrow> </math>  -model in an optic fiber"
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      "value": "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."
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Published on:
08 April 2021
Publisher:
Springer
Published in:
European Physical Journal C , Volume 81 (2021)
Issue 4
Pages 1-17
DOI:
https://doi.org/10.1140/epjc/s10052-021-09084-x
arXiv:
2012.05203
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: