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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2019-08-07
An Inverse Electromagnetic Scattering Problem for an Ellipsoid
By
Evangelia S. Athanasiadou,

    Dr. Evangelia S. Athanasiadou

    Department of Mathematics

    National and Kapodistrian University of Athens

    Greece

    Homepage

Stefania Zoi,

    Dr. Stefania Zoi

    Department of Mathematics

    National and Kapodistrian University of Athens

    Greece

    Homepage

Ioannis Arkoudis

    Dr. Ioannis Arkoudis

    Department of Mathematics

    National and Kapodistrian University of Athens

    Greece

    Homepage

Progress In Electromagnetics Research M, Vol. 83, 141-150, 2019
doi:10.2528/PIERM19051005 | Google Scholar

Abstract
The scattering problem of time-harmonic electromagnetic plane waves by an impedance and a dielectric ellipsoid is considered. A low-frequency formulation of the direct scattering problem using the Rayleigh approximation is described. Considering far-field data, an inverse electromagnetic scattering problem is formulated and studied. A finite number of measurements of the leading-order term of the electric far-field pattern in the low-frequency approximation leads to specifying the semi-axes of the ellipsoid. The orientation of the ellipsoid is obtained by using the Euler angles. Corresponding results for the sphere, spheroid, needle and disc can be obtained considering them as geometrically degenerate forms of the ellipsoid for suitable values of its geometrical parameters.
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Citation
Evangelia S. Athanasiadou, Stefania Zoi, and Ioannis Arkoudis, "An Inverse Electromagnetic Scattering Problem for an Ellipsoid," Progress In Electromagnetics Research M, Vol. 83, 141-150, 2019.
doi:10.2528/PIERM19051005
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