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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2017-10-06
Electromagnetic Scattering from a Zero-Thickness PEC Disk: A Note on the Helmholtz-Galerkin Analytically Regularizing Procedure
By
Mario Lucido,

    Prof. Mario Lucido

    Univ Cassino

    Italy

    Homepage

Francesca Di Murro,

    Dr. Francesca Di Murro

    D.I.E.I.

    Universita degli Studi di Cassino e del Lazio Meridionale

    Italy

    Homepage

Gaetano Panariello

    Dr. Gaetano Panariello

    Universita di Cassino

    Italy

    Homepage

Progress In Electromagnetics Research Letters, Vol. 71, 7-13, 2017
doi:10.2528/PIERL17072006 | Google Scholar

Abstract
Recently, a new analytically regularizing procedure, based on Helmholtz decomposition and Galerkin method, has been proposed to analyze the electromagnetic scattering from a zero-thickness perfectly electrically conducting disk. The convergence of the discretization scheme is guaranteed and of exponential type, i.e., few expansion functions are needed to achieve highly accurate solutions. However, it leads to the numerical evaluation of improper integrals of asymptotically oscillating and slowly decaying functions. Asymptotic acceleration techniques allow to obtain faster decaying integrands without overcoming the problem of the oscillating nature of the integrands themselves, i.e., the convergence of the integrals becomes slower and slower as the accuracy required for the solution is higher. In this paper, by means of algebraic manipulations and a suitable integration procedure in the complex plane, an alternative expression for the scattering matrix coefficients involving only fast converging proper integrals is devised. As shown in the numerical results section, the proposed technique is very effective and drastically outperforms the classical analytical asymptotic acceleration technique.
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Citation
Mario Lucido, Francesca Di Murro, and Gaetano Panariello, "Electromagnetic Scattering from a Zero-Thickness PEC Disk: A Note on the Helmholtz-Galerkin Analytically Regularizing Procedure," Progress In Electromagnetics Research Letters, Vol. 71, 7-13, 2017.
doi:10.2528/PIERL17072006
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