Calculation of TM(0n) dispersion relations in a corrugated cylindrical waveguide
Abstract
A technique for computing the dispersion relation and electromagnetic fields of the TM(0n) modes of a periodically coupled cylindrical waveguide is described. The TM(0n)mode Maxwell equations in a cylindrical geometry are converted to a statevector system of coupled linear differential equations in which the boundary conditions for a waveguide of varying diameter are included in the coefficient matrix of the statevector system. The particular problem of periodic boundary conditions is solved for a waveguide with a sinusoidally undulating wall.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 June 1984
 DOI:
 10.1109/TMTT.1984.1132735
 Bibcode:
 1984ITMTT..32..600B
 Keywords:

 Cylindrical Bodies;
 Electromagnetic Fields;
 Wave Dispersion;
 Waveguides;
 Corrugating;
 Differential Equations;
 Maxwell Equation;
 Propagation Modes;
 State Vectors;
 Electronics and Electrical Engineering