Electromagnetic fields in a waveguide with a modulated filling near the frequency of resonant interaction between the signal wave and modulation wave

Abstract

The interaction between a transverse-electric (TE) signal wave and a periodically modulated wave in a waveguide of arbitrary cross-section is considered. The wave equation for the potential of TE field near the frequency of resonant interaction between the signal wave and modulation wave is solved, using the double-scale expansion method. The fields in the first approximation with respect to the modulation indices are obtained.