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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2009-01-08
Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures
By
Chaker Essid,

    Dr. Chaker Essid

    Polytechnic School Tunisia

    Tunisia

    Homepage

M. Bassem Ben Salah,

    Dr. M. Bassem Ben Salah

    URCSE, Tunis Polytechnic School

    Tunisia

    Homepage

Khaled Kochlef,

    Dr. Khaled Kochlef

    Ecole Polytechnique de Tunisie

    Tunisia

    Homepage

Abdelaziz Samet,

    Dr. Abdelaziz Samet

    Polytechnique School of Tunisia

    Tunisia

    Homepage

Ammar B. Kouki

    Prof. Ammar B. Kouki

    LACIME, École de Technologie Supérieure

    Canada

    Homepage

Progress In Electromagnetics Research Letters, Vol. 6, 17-26, 2009
doi:10.2528/PIERL08112706 | Google Scholar

Abstract
In this paper, we present an efficient hybrid spatial-spectral formulation of the method of moment (MoM) in conjunction with the Mixed-Potential Integral Equation (MPIE) for planar circuit analysis. This method is based on the decomposition of the Green's functions in two parts: quasi-static in the near field region and the dynamic contribution in the far field region. Using this decomposition of Green's functions, the method of moment matrix entries can be reduced and expressed to a sum of two integrals. The first one is expressed in the spatial field and corresponds to the quasi-static contribution. It is analytically evaluated after a development in Taylor series of the exponential terms in the function to integrate. The integrals expressed in the spectral field and corresponds to the dynamic part have the advantage of being calculated on a finite range and this independently of the choice of the basis and test functions. The integrals expressed in the spectral field are performed by using numerical integration. It is also demonstrated that this hybrid method has accelerated the matrix fill in time by using a Fast Fourier Transform (FFT) algorithm. In order to validate the proposed method, numerical results are presented.
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Citation
Chaker Essid, M. Bassem Ben Salah, Khaled Kochlef, Abdelaziz Samet, and Ammar B. Kouki, "Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures," Progress In Electromagnetics Research Letters, Vol. 6, 17-26, 2009.
doi:10.2528/PIERL08112706
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