Finite Element Analysis of Two-Dimensional EM Scattering via Padé Approximation For Complex Permittivity

Naser Abu_Zaid's picture
Journal Title, Volume, Page: 
Radio Sci., 37(1), 1012, doi:10.1029/2000RS002614
Year of Publication: 
2002
Authors: 
Naser A. Abu-Zaid
Electrical and Electronic Engineering Department, Eastern Mediterranean University, Gazimagosa, Turkey
Current Affiliation: 
Department of Electrical Engineering, Engineering Faculty, An-Najah National University, Nablus 97300, Palestine
Haluk Tosun
Electrical and Electronic Engineering Department, Eastern Mediterranean University, Gazimagosa, Turkey
Preferred Abstract (Original): 
We present a computationally efficient algorithm which combines the finite element method with Pade 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.