Fast Waveguide Mode Computation Using Wavelet-Like Basis Functions

Robert L. Wagner; Gregory P. Otto; Weng Cho Chew

doi:10.1109/75.222777

Fast Waveguide Mode Computation Using Wavelet-Like Basis Functions

Robert L. Wagner, Gregory P. Otto, Weng Cho Chew

Research output: Contribution to journal › Article › peer-review

Abstract

The use of wavelet-like basis functions for solving electromagnetics problems is demonstrated. In particular, the modes of an arbitrarily shaped hollow metallic waveguide using a surface integral equation/method of moments (MOM) formulation are found. A class of wavelet-like basis functions is used to produce a sparse MOM impedance matrix, allowing the use of sparse matrix methods for fast solution of the problem. The same method applies directly to the external scattering problem. For the examples considered, the wavelet domain impedance matrix has about 20% nonzero elements, and the time required to compute its LU factorization is reduced by approximately a factor of 10 compared to the original full matrix.

Original language	English (US)
Pages (from-to)	208-210
Number of pages	3
Journal	IEEE Microwave and Guided Wave Letters
Volume	3
Issue number	7
DOIs	https://doi.org/10.1109/75.222777
State	Published - Jul 1993
Externally published	Yes

ASJC Scopus subject areas

Engineering(all)
Physics and Astronomy(all)

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10.1109/75.222777

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title = " Fast Waveguide Mode Computation Using Wavelet-Like Basis Functions",

abstract = "The use of wavelet-like basis functions for solving electromagnetics problems is demonstrated. In particular, the modes of an arbitrarily shaped hollow metallic waveguide using a surface integral equation/method of moments (MOM) formulation are found. A class of wavelet-like basis functions is used to produce a sparse MOM impedance matrix, allowing the use of sparse matrix methods for fast solution of the problem. The same method applies directly to the external scattering problem. For the examples considered, the wavelet domain impedance matrix has about 20% nonzero elements, and the time required to compute its LU factorization is reduced by approximately a factor of 10 compared to the original full matrix.",

author = "Wagner, {Robert L.} and Otto, {Gregory P.} and Chew, {Weng Cho}",

note = "Funding Information: Manuscript recdved March 10, 1993. This work was supported by the Office of Naval Research under Grant NOO 014-89-J-1296, by the Army Research Office under Contract DAAL03-91-G-0339, and by a grant from Schlumberger.",

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AU - Otto, Gregory P.

AU - Chew, Weng Cho

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PY - 1993/7

Y1 - 1993/7

N2 - The use of wavelet-like basis functions for solving electromagnetics problems is demonstrated. In particular, the modes of an arbitrarily shaped hollow metallic waveguide using a surface integral equation/method of moments (MOM) formulation are found. A class of wavelet-like basis functions is used to produce a sparse MOM impedance matrix, allowing the use of sparse matrix methods for fast solution of the problem. The same method applies directly to the external scattering problem. For the examples considered, the wavelet domain impedance matrix has about 20% nonzero elements, and the time required to compute its LU factorization is reduced by approximately a factor of 10 compared to the original full matrix.

AB - The use of wavelet-like basis functions for solving electromagnetics problems is demonstrated. In particular, the modes of an arbitrarily shaped hollow metallic waveguide using a surface integral equation/method of moments (MOM) formulation are found. A class of wavelet-like basis functions is used to produce a sparse MOM impedance matrix, allowing the use of sparse matrix methods for fast solution of the problem. The same method applies directly to the external scattering problem. For the examples considered, the wavelet domain impedance matrix has about 20% nonzero elements, and the time required to compute its LU factorization is reduced by approximately a factor of 10 compared to the original full matrix.

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Fast Waveguide Mode Computation Using Wavelet-Like Basis Functions

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