Evolution of the Solenoidal and Irrotational Modal Fields in a Cavity Excited by a Signal


ERDEN F., TRETYAKOV O., Bicer U.

24th Signal Processing and Communication Application Conference (SIU), Zonguldak, Turkey, 16 - 19 May 2016, pp.181-184 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.1109/siu.2016.7495707
  • City: Zonguldak
  • Country: Turkey
  • Page Numbers: pp.181-184

Abstract

In this study; first, an outline of the evolutionary approach to electromagnetics (EAE) is presented in a compact form, and secondly, electromagnetic oscillations in a cavity excited by a casual time-dependent signal (e.g. a sinusoid) is studied in the time domain within the frame of the EAE. The signal exciting the field is installed in Maxwell's equations via electric current density given as a function of coordinates and time. The signal may be an arbitrary integrable function of time. Modal field expansions with time-dependent modal amplitudes are derived. The modal amplitudes are obtained explicitly as simple convolution integrals where a temporal signal function is present at the integrands.