Hybrid moment-ray-mode method for wave scattering from an aperture coupled system

I-Tai Lu, Bai Lin Ma

Research output: Contribution to journalArticle

Abstract

Wave scattering from an aperture coupled system is studied using a new method which combines the hybrid ray-mode method and method of moments. The latter is used to formulate the coupling process and the former to provide the Green's function of a parallel plate waveguide. Following standard procedures of the method of moments, we first formulate a system equation for field distributions across the aperture. By expressing these unknown distributions in terms of appropriate basis functions and choosing appropriate weighting functions, the system equation is then reduced to a matrix equation which is solved numerically. In the system of equations, one needs to compute the Green's function of the waveguide for various arrangements of locations of source and receiver. The hybrid ray-mode formulation is best suited for this purpose because it combines rays and modes self-consistently to optimize the advantages of each. The efficiency of the ray-mode Green's function makes use of the moment method practical in waveguides, and the flexibility of the moment method permits application of the Green's function considered to arbitrarily shaped and placed apertures. Numerical implementation illustrates these aspects.

Original languageEnglish (US)
Pages (from-to)171-182
Number of pages12
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume3
Issue number3
StatePublished - Sep 1990

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Wave Scattering
Method of moments
Green's function
Coupled System
Half line
Scattering
Moment
Waveguide
Waveguides
Moment Method
Method of Moments
Weighting Function
Matrix Equation
System of equations
Basis Functions
Arrangement
Receiver
Flexibility
Optimise
Unknown

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

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abstract = "Wave scattering from an aperture coupled system is studied using a new method which combines the hybrid ray-mode method and method of moments. The latter is used to formulate the coupling process and the former to provide the Green's function of a parallel plate waveguide. Following standard procedures of the method of moments, we first formulate a system equation for field distributions across the aperture. By expressing these unknown distributions in terms of appropriate basis functions and choosing appropriate weighting functions, the system equation is then reduced to a matrix equation which is solved numerically. In the system of equations, one needs to compute the Green's function of the waveguide for various arrangements of locations of source and receiver. The hybrid ray-mode formulation is best suited for this purpose because it combines rays and modes self-consistently to optimize the advantages of each. The efficiency of the ray-mode Green's function makes use of the moment method practical in waveguides, and the flexibility of the moment method permits application of the Green's function considered to arbitrarily shaped and placed apertures. Numerical implementation illustrates these aspects.",
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