On the evaluation of self-patch integrals in the method of moments

✍ Scribed by Luc Knockaert; Frank Olyslager; Dries Vande Ginste

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 114 KB
• Volume: 47
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/mop.21070

✦ Synopsis

Abstract

Starting with the general expression for the __m‐__dimensional scalar Green's function or its singular part, we transform the 2__n‐__dimensional moment integral into an __n‐__dimensional integral in the Fourier domain. This allows us to perform a powerful singularity extraction and to replace the singular Green's kernel by a nonsingular truncated kernel, for which the moment integrals can be evaluated by means of numerical‐quadrature methods. Additionally, when utilizing a Galerkin pulse basis, a double Gauss theorem permits us to replace the 2__n‐__dimensional moment integral with a 2(n − 1)‐dimensional boundary integral, again offering dimensionality and computational gain. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 47: 22–26, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21070