Advances in Radio Science www.adv-radio-sci.net 1684-9965 1684-9973 2 Kleinheubacher Berichte 2003 2004 10.5194/ars-2-93-2004 http://www.adv-radio-sci.net/2/93/2004/ http://www.adv-radio-sci.net/2/93/2004/ars-2-93-2004.html http://www.adv-radio-sci.net/2/93/2004/ars-2-93-2004.pdf 93 99 2005-05-27 Review of singular potential integrals for method of moments solutions of surface integral equations A. Tzoulis T. F. Eibert FGAN-Research Institute for High-Frequency Physics and Radar Techniques (FHR), Wachtberg-Werthhoven, Germany Accurate evaluation of singular potential integrals is essential for successful method of moments (MoM) solutions of surface integral equations. In mixed potential formulations for metallic and dielectric scatterers, kernels with 1/R and r1/R singularities must be considered. Several techniques for the treatment of these singularities will be reviewed. The most common approach solves the MoM source integrals analytically for specific observation points, thus regularizing the integral. However, in the case of r1/R a logarithmic singularity remains for which numerical evaluation of the testing integral is still difficult. A recently by Yl¨a-Oijala and Taskinen proposed remedy to this issue is discussed and evaluated within a hybrid finite element – boundary integral technique. Convergence results for the MoM coupling integrals are presented where also higher-order singularity extraction is considered.