Analysis of Scattering Problems by MOM
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Analysis of Scattering Problems by MOMAbstract
In this paper a method for the solution of scattering problems is proposed. In particular the EFIE is solved by a collocation point procedure, where the unknown current density is expanded by Daubechies wavelets on the interval and the integration is performed in the wavelet domain by the integral operator, hence without the use of any quadrature formula. Comparison with induced currents calculated by a standard MoM and with fields calculated by a FEM code are reported.
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References
C. K. Chui, ”Wavelets: a Tutorial in Theory and Ap-
plications” New York, Academic Press, 1992
A.Cohen, I. Daubechies, B. Jawerth, P. Vial, ”Multires-
olution analysis wavelets and fast algorithms on the in-
terval” C. R. Acad. Sci. Paris ser. i Math. Vol. 316,
, pp. 417-421
T. K. Sarkar, M. Salazar-Palma, M. C. Wicks, ”Wavelet
Applications in Engineering Electromagnerics” Artech
House 2002
Y. Shifman, Y. Leviatan ”Scattering by a Groove in
a Conductiong Plane - A PO-MoM Hybrid Formula-
tion and Wavelet Analysis” IEEE trans. Antennas and
Propagation vol. 349, n. 12. December 2001, pp. 1807
- 1811
G. Pan ”Orthogonal Wavelets with Applications in
Electromagnetics” IEEE trans. Mag. vol. 32, n. 3. May
, pp. 975 - 983
G. Wang, G. Pan, B. K. Gilbert ”A Hybrid Wavelet
Expansion and Boundary Element Analysis for Multi-
conductor Transmission Lines in Multilayered Dielectric
Media” IEEE trans. MTT. vol. 43, n. 3, March 1995
pp. 664 - 675
G. Beylkin ”Wavelets and Fast Numerical Algorithms”
Proc. of Symposia in Applied Math. Vol. 47, 1993
S. Barmada, M. Raugi, ”Transient Numerical Solutions
of Nonuniform MTL Equations with Nonlinear Loads
by Wavelet Expansion in Time or Space Domain” ”
IEEE Transactions on Circuits and Systems August
, Vol. 47, n. 8, pp. 1178 - 1190