Matrix Methods for Solving Field Problems. Volume I. Matrix Techniques and Applications

摘要

The report presents general procedures for solving field problems of engineering interest using digital computer techniques. The basic concept is to represent a boundary-value problem by a superposition integral, approximate the integral equation by a matrix equation, and invert the matrix for a solution. The theory is described in terms of the method of moments, which is equivalent to the variational method. For electromagnetic antenna and scattering problems, the method gives a matrix whose elements can be interpreted as generalized impedances. These impedances are closely related to those used in the theory of loaded antennas and scatterers, and hence such loaded structures can also be treated. A solution for wire antennas and scatterers of arbitrary shape is formulated in detail, and calculations for linear wire antennas and scatterers, both loaded and unloaded, have been made. Additional problems treated by these procedures are two-dimensional scattering by conducting cylinders and by dielectric cylinders, and three-dimensional scattering by bodies of revolution. These problems are used to show the effect of various approximations in the solution, in an attempt to draw some general conclusions as to the best approximations. Special procedures for inverting matrices have also been considered, to take into account any symmetry properties present in the matrices. A considerable saving in computation time can often be made by properly utilizing these symmetries. (Author)