https://doi.org/10.1140/epjc/s10052-021-09084-x
Regular Article - Theoretical Physics
Quantization and soliton-like solutions for the 
-model in an optic fiber
1
Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo 32, 20133, Milan, Italy
2
INdAM-GNFM, Città Universitaria-P.le Aldo Moro 5, 00185, Roma, Italy
3
Department of Science and High Technology, Università dell’Insubria, Via Valleggio 11, 22100, Como, Italy
4
INFN sezione di Milano, via Celoria 16, 20133, Milan, Italy
5
Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133, Milan, Italy
Received:
3
January
2021
Accepted:
25
March
2021
Published online:
8
April
2021
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.
© The Author(s) 2021
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