A spectral method in the theory of wave propagation in cellular periodic waveguides
Abstract
A spectral method for the analysis of wave propagation in cellular periodic waveguides is demonstrated using as an example the problem of determining normal waves in a corrugated waveguide with rectangular corrugations. A proof is presented for a theorem which is an analog of the WienerPaley theorem for Fourier series; the theorem is used to demonstrate the equivalence of the solutions to the initial boundary value problem and to the dispersion equation.
 Publication:

Computational Mathematics and Mathematical Computer Software
 Pub Date:
 1985
 Bibcode:
 1985cmmc.proc..186I
 Keywords:

 Circular Waveguides;
 Signal Analysis;
 Spectrum Analysis;
 Wave Propagation;
 Approximation;
 Boundary Value Problems;
 Convergence;
 Fourier Series;
 Electronics and Electrical Engineering