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An efficient evaluation of near singular surface integrals via the Khayat–Wilton transform
Author(s) -
Tang W.H.,
Gedney S. D.
Publication year - 2006
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/mop.21722
Subject(s) - gravitational singularity , singularity , convergence (economics) , logarithm , singular integral , microwave , point (geometry) , plane (geometry) , mathematics , surface (topology) , mathematical analysis , geometry , computer science , integral equation , telecommunications , economic growth , economics
The Khayat–Wilton transform efficiently and accurately integrates kernels with a 1/R singularity. It can also be used to integrate “near” 1/R singularities. However, if the observation point is pushed off the source patch plane, the resultant formulation will have a logarithmic behavior. Consequently, the integral is slow to converge. To integrate near singularities more efficiently and more accurately, a numerical integration based on the Lin‐log rule is proposed. The proposed integration method shows to be more accurate and convergence faster than the original Khayat–Wilton transform. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 1583–1586, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21723
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