Trapping Electromagnetic Solitons in Cylinders

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.

Keywords:

• electromagnetism
• whispering gallery modes
• Bessel functions

AMS Subject Classiffcation:

• 33F05
• 47A75
• 78A25