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 state-vector 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 state-vector 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