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Time‐domain integral equation solvers using quadratic B‐spline temporal basis functions
Author(s) -
Wang P.,
Xia M. Y.,
Jin J. M.,
Zhou L. Z.
Publication year - 2007
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.22385
Subject(s) - basis function , quadratic equation , integral equation , computation , mathematics , scattering , spline (mechanical) , time domain , basis (linear algebra) , mathematical analysis , domain (mathematical analysis) , computer science , algorithm , physics , geometry , optics , computer vision , thermodynamics
Abstract A novel numerical scheme that employs quadratic B‐spline functions as temporal basis functions is proposed for solving time‐domain integral equations (TDIE) of electromagnetic scattering. Because of the compact support of these new temporal basis functions, the resulting time‐domain integral equations solution is efficient in terms of memory usage and computation time. Numerical examples of scattering by both conducting and dielectric objects show that the solution is also stable and accurate. Compared with the Lagrange interpolating functions of the same order, the quadratic B‐spline functions, being complete to the second order, yield a better accuracy in the time‐domain integral equations solution of scattering problems. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 1154–1159, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22385