The theory of irregular waveguides and open resonators
Abstract
Variational techniques are exploited to develop systematic approximations to the electromagnetic fields in beamcarrying irregular waveguides and open resonators containing dielectric and magnetic materials. For an axisymmetric system the simplest, socalled single mode approximation, requires only the numerical solution of a second order ordinary differential equation. Comparison of the results with numerical solutions of the governing partial differential equation indicates that the approximation is good. Higher order approximate descriptions are derived, and the socalled double mode approximation is shown to be very good indeed. The general theory is presented for the case of linear waveguides of arbitrary cross section joined by a section of arbitrary shape.
 Publication:

International Journal of Infrared and Millimeter Waves
 Pub Date:
 January 1983
 DOI:
 10.1007/BF01008969
 Bibcode:
 1983IJIMW...4...57B
 Keywords:

 Electromagnetic Fields;
 Field Mode Theory;
 Multimode Resonators;
 Propagation Modes;
 Variational Principles;
 Waveguides;
 Approximation;
 Dielectric Properties;
 Electron Beams;
 Partial Differential Equations;
 Electronics and Electrical Engineering