Leaky-mode expansion of the electromagnetic field inside dispersive spherical cavity

Abstract

Rigorous justification is presented for a recently introduced method to construct leaky-mode expansions of electromagnetic fields excited inside a spherical cavity filled with a dispersive, lossy medium. In a departure from the traditional approaches, our construction does not rely on Green’s functions, rather it starts from a judiciously chosen auxiliary meromorphic function. Convergence of both the series expansions and of the over-completeness relations for the leaky modes is proven for a realistic model of chromatic dispersion.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 01, 2018
Source ID
10.1063/1.5006956

Entities

People

  • M. Kolesik
  • Masud Mansuripur
  • P. Jakobsen

Organizations

  • Air Force Office of Scientific Research
  • University of Arizona
  • University of Tromsø – The Arctic University of Norway

Tags

Readers

  • Calculus or Mathematical Analysis
  • Microwave Engineering.