A Fast Algorithm to Compute the Wave-Scattering Solution of a Large Strip

W. C. Chew; C. C. Lu

doi:10.1006/jcph.1993.1152

A Fast Algorithm to Compute the Wave-Scattering Solution of a Large Strip

W. C. Chew, C. C. Lu

Electrical and Computer Engineering

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

15 Scopus citations

Abstract

A truncated, nonuniform, finite array of strips does not have a closed form solution. Using translational symmetry, a recursive algorithm that calculates the scattering solution with N log²N computational complexity is described. First, the algorithm is validated with the method of moments for both the TM to-z and TE-to-z polarizations. Then the scattering solution from a large strip is calculated for both TE and TM polarizations. The current distribution for the TE polarization shows small-length-scale oscillations not present in the TM polarization.

Original language	English
Pages (from-to)	378-387
Number of pages	10
Journal	Journal of Computational Physics
Volume	107
Issue number	2
DOIs	https://doi.org/10.1006/jcph.1993.1152
State	Published - Aug 1993

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.1993.1152

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abstract = "A truncated, nonuniform, finite array of strips does not have a closed form solution. Using translational symmetry, a recursive algorithm that calculates the scattering solution with N log2N computational complexity is described. First, the algorithm is validated with the method of moments for both the TM to-z and TE-to-z polarizations. Then the scattering solution from a large strip is calculated for both TE and TM polarizations. The current distribution for the TE polarization shows small-length-scale oscillations not present in the TM polarization.",

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AB - A truncated, nonuniform, finite array of strips does not have a closed form solution. Using translational symmetry, a recursive algorithm that calculates the scattering solution with N log2N computational complexity is described. First, the algorithm is validated with the method of moments for both the TM to-z and TE-to-z polarizations. Then the scattering solution from a large strip is calculated for both TE and TM polarizations. The current distribution for the TE polarization shows small-length-scale oscillations not present in the TM polarization.

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A Fast Algorithm to Compute the Wave-Scattering Solution of a Large Strip

Abstract

ASJC Scopus subject areas

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