A regularized method of fundamental solution for solving the 2D PEC cylinder electromagnetic scattering problem

Abstract

In this letter, using subtraction and adding-back (SAB), the authors propose a regularized method of fundamental solution (RMPS) for solving the electromagnetic (EM) scattering problem of 2D perfect electric conductor (PEC) cylinder. The proposed RMPS avoids the problem of choosing the auxiliary boundary in the method of fundamental solution. Two numerical examples are given to verify the effectiveness of the proposed method after comparing with the result of method of fundamental solution. In addition, the results show that the proposed method has a better stability performance than the method of fundamental solution.

Cutoff wavenumber analysis of arbitrarily shaped waveguides using regularized method of fundamental solutions with excitation sources

“…Therefore, a RMFS for solving diagonal values is given. For the TM mode, G ( r m ,$${\bm r}^{\prime}_m$$) can be given by the following equation [19]: $$$$\begin{equation}G({{\bm r}_m},{{\bm r}^{\prime}_m}) = \frac{1}{{k{s_m}}}\sum_{n = 1 \ne m}^N {{s_n}\left\{ \def\eqcellsep{&}\begin{array}{l} \displaystyle\frac{{\partial G({{\bm r}_m},{{\bm r}^{\prime}_n})}}{{\partial {{\bm n}_{{{\bm r}^{\prime}_n}}}}}...$$…”

“…Therefore, a RMFS for solving diagonal values is given. For the TM mode, G(r m ,r m ) can be given by the following equation [19]:…”