Application of least-squares boundary residual method to the analysis of a circular waveguide loaded with a nonconcentric dielectric rod

Abstract

Applying the least-squares boundary residual method (LSBRM) to the analysis of a circular waveguide loaded with a nonconcentric dielectric rod is described in some detail. The primary reason for choosing this technique is that the LSBRM is mathematically more rigorous than the point matching method; whereas the latter can only ensure good matching at discrete points on the boundary, the former globally minimizes (in a least-squares sense) the mismatch over the entire boundary surface. Tests indicate that the numerical accuracies obtainable from the LSBRM model can be better than ± 0.5%.