Finite Difference Solutions of Maxwell's Equations in Three Dimensions
Abstract
The method of finite differences is used successfully to solve elliptic secondorder partial differential equations. For Laplace's equation ((DELTA)E = 0) and Poisson's equation ((DELTA)E = G x,y,z ), there is little difficulty in applying finite difference equations. However, for the Helmholz equation ((DELTA)E + k('2)E = 0), which is derived from Maxwell's equations, there has arisen problems which have limited application of this method. The objective of this dissertation is to investigate these problems and suggest ways to alleviate them. Included is an analysis of the numerical errors, an example of an application to microwave circuits, a discussion of other applications to specific problems and suggestions for future work to be done in this field.
 Publication:

Ph.D. Thesis
 Pub Date:
 1985
 Bibcode:
 1985PhDT........91C
 Keywords:

 REDUCED WAVE;
 DIRCHLET PROBLEM;
 Mathematics; Physics: General