Title :
A transformation for near strongly singular integrals
Author :
Fink, Patrick W. ; Khayat, Michael A.
Author_Institution :
Avionic Syst. Div., NASA Johnson Space Center, Houston, TX, USA
Abstract :
A simple transformation using a singularity cancellation technique is presented that enables accurate and efficient computation of near strongly singular integrals involving the gradient of Helmholtz-type potentials for projected observation points that lie external to the source element. The coordinate reference is offset from the projection of the observation point onto the plane containing the source element. In many cases, this permits highly accurate results without the splitting of the source element.
Keywords :
transforms; Helmholtz type potential gradient; coordinate reference; near strongly singular integral transformation; observation point; singularity cancellation technique; source element; Aerospace electronics; Antennas; Convergence; Geometry; NASA; Vectors; Wireless communication;
Conference_Titel :
Antennas and Propagation Society International Symposium (APSURSI), 2013 IEEE
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-4673-5315-1
DOI :
10.1109/APS.2013.6711117