Well Conditioned Formulations for Open Surface Scattering
Author | : |
Publisher | : |
Total Pages | : 59 |
Release | : 2008 |
ISBN-10 | : OCLC:1050653593 |
ISBN-13 | : |
Rating | : 4/5 (93 Downloads) |
Book excerpt: The electric field integral equation (EFIE) is a first-kind integral equation formulation that is used to solve a wide variety of electromagnetic scattering problems in the frequency domain. It is the only integral equation that can be applied to both open and closed targets. It is also a poorly conditioned integral equation, which means that solving it using iterative solution methods is generally impractical because the iteration count is uncontrollable and can be very large. This reduces the effectiveness of fast iterative solver methods for solving open surface problems. This report describes an analytical preconditioner method for the EFIE on open surface PEC targets that converts the EFIE to a well conditioned, second-kind integral equation. We present theory and the results from a numerical implementation. We also discuss a 2d extension of the Poincare-Bertrand identity could be used to develop an explicitly second-kind integral equation for open surface scattering problems.