Title :
MFIE limiting process and curvilinear computations
Author_Institution :
Northrop Grumman Corp., Pico Rivera, CA, USA
Abstract :
Summary form only given. Many derivations of the MFIE make it appear that the half factor comes from an excluded region in the integral appearing in that equation. Since the excluded region yielded the half factor, a belief exists that it must not be double counted. As a result it erroneously appears that the integral should be viewed and numerically treated as a principal value integral. The principal value interpretation is theoretically correct but superfluous and can lead to an erroneous numerical treatment for curvilinear computational electromagnetics (CEM). A numerical treatment based on principal value singularity cancellation is shown to lead to large errors. The proper treatment recognizes that a non-cancelling integrable singularity procedure is needed. An alternate derivation of the MFIE is presented in which the principal value never appears.
Keywords :
electromagnetism; magnetic field integral equations; MFIE limiting process; curvilinear computational electromagnetics; curvilinear computations; errors; half factor; noncancelling integrable singularity procedure; principal value integral; principal value singularity cancellation; Computational electromagnetics; Integral equations;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1998. IEEE
Conference_Location :
Atlanta, GA, USA
Print_ISBN :
0-7803-4478-2
DOI :
10.1109/APS.1998.702086