Efficient solution of large moments problems: Theory and small problem results

A banded matrix iterative solution method for linear simultaneous equations arising from thin wire moments problems has been applied to a variety of multiple wire configurations. Compared to Gaussian elimination, solution efficiencies around 5 to 10 and up to 23 have been obtained for problems with 100 unknowns for a solution accuracy of 1 percent. Greater efficiencies are obtained for less accurate solutions. Reasonable far-field patterns are found from currents with 30 percent error. The method is intended for large problems, for which good efficiencies are expected. Application of the method requires some expertise at the current stage of development.