Trapping Electromagnetic Solitons in Cylinders
Daniele Funaro
TL;DR
This paper investigates the confinement of electromagnetic waves in cylindrical structures, providing explicit solutions and exploring complex configurations with potential applications in whispering gallery resonators.
Contribution
It refines previous results on electromagnetic solitons in cylinders and introduces explicit Bessel function solutions for complex guided wave configurations.
Findings
Explicit Bessel function solutions for electromagnetic modes in cylinders
Identification of complex stationary wave configurations
Potential applications in whispering gallery resonator development
Abstract
Electromagnetic waves, in vacuum or dielectrics, can be confined in unbounded cylinders in such a way that they turn around the main axis. For particular choices of the cylinder's section, interesting stationary configurations may be assumed. By refining some results obtained in previous papers, additional more complex situations are examined here. For such peculiar guided waves an explicit expression is given in terms of Bessel's functions. Possible applications are in the development of whispering gallery resonators.
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