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The evaluation of MFIE integrals with the use of vector triangle basis functions
Author(s) -
Hodges R. E.,
RahmatSamii Y.
Publication year - 1997
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(199701)14:1<9::aid-mop4>3.0.co;2-p
Subject(s) - basis (linear algebra) , basis function , volume integral , mathematics , scalar (mathematics) , singular integral , slater integrals , mathematical analysis , integral equation , geometry
Formulas that provide an efficient and reliable numerical evaluation of the magnetic field integral equation (MFIE) with the use of vector triangular basis functions are developed. The MFIE integrals for the three basis functions on a triangular facet are converted from three vector integrals to three scalar integrals, which are evaluated simultaneously. The 1/R 2 singular behavior is extracted from the integral, and closed‐form expressions are given for the singular terms. Consequently, the formulas are valid for all observation points and are suitable for general‐purpose modeling. © 1997 John Wiley & Sons, Inc.