Finite difference solutions of Maxwell's equations in three dimensions
The method of finite differences is used successfully to solve elliptic second-order 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/sup 2/E = 0), which is derived from Maxwell's equations, there has arisen problems which have limited application of this method. This dissertation investigates 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.
- Research Organization:
- Texas Univ., Arlington (USA)
- OSTI ID:
- 6046601
- Country of Publication:
- United States
- Language:
- English
Similar Records
On a finite-element method for solving the three-dimensional Maxwell equations
A 6th Order Mehrstellen Finite Volume Discretization of Poisson's Equation in Three Dimensions
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
ERRORS
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
LAPLACE EQUATION
MAXWELL EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
THREE-DIMENSIONAL CALCULATIONS