Efficient and accurate computation of Green's function for the Poisson equation in rectangular waveguides

Abstract

In this paper, a new algorithm for the fast and precise computation of Green's function for the 2‐D Poisson equation in rectangular waveguides is presented. For this purpose, Green's function is written in terms of Jacobian elliptic functions involving complex arguments. A new algorithm for the fast and accurate evaluation of such Green's function is detailed. The main benefit of this algorithm is successfully shown within the frame of the Boundary Integral Resonant Mode Expansion method, where a substantial reduction of the computational effort related to the evaluation of the cited Green's function is obtained.