Modes of Travelling Electromagnetic Waves within Cylinders

Abstract
An algorithm is proposed for numerical calculation of traveling electromagnetic wave modes for solid and hollow solid state cylinders. Complex eigenvalues are defined for angular parameters characterizing emissive modes and whispering gallery modes (WG-mode). The polar component imaginary parts of the wave vectors are found for all modes, including WG modes. The calculation is carried out for the fixed cylinder sizes. The field distributions are calculated inside the cylinders. The dependence of the mode parameters on the extinction coefficients of the cylinder material was studied. The ratio of the density of energy fluxes for the radial and polar directions shows a sharp change when passage from the emissive modes to WG modes.

Keywords
traveling electromagnetic wave, whispering gallery mode
Acknowledgements
The study was financially supported by the RFBR grant No. 18-29-20007mk
УДК 535:621.373.826:539 

Modes of Travelling Electromagnetic Waves within Cylinders (RUS)