State‐space formulation of two‐dimensional electromagnetic scattering from dielectric cylinders

Zaid, Naser A. Abu; Niazi, A.Y.; Tosun, Haluk

doi:10.1029/1998rs900001

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2002

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“…Several frequency domain methods are available in the literature for the solution of electromagnetic scattering by dielectric cylinders of arbitrary cross section [ Abu‐Zaid et al , 1999; Peterson and Castillo , 1989]. One of the disadvantages of these frequency domain techniques, however, is the computational cost involved in getting the solutions over an interval of a predefined parameter, such as frequency or permittivity.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of two‐dimensional EM scattering via Padé approximation for complex permittivity

Abu-Zaid

Tosun

2002

Radio Science

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[1] We present a computationally efficient algorithm which combines the finite element method with Padé approximation. The combination is used to solve the problem of transverse magnetic and transverse electric scattering from homogeneous lossy dielectric cylinders over a continuous range of the complex permittivity variable by requiring the finite element solution only at a single complex permittivity value. The proposed method is based on (1) assuming a power series expansion for the unknown solution vector, the excitation vector, and the system matrix, (2) substituting this into the system matrix equation, and (3) finding the recursion relation for the solution vectors.

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Section: Introductionmentioning

confidence: 99%