Padé approximation

Naser Abu_Zaid's picture

Padé Approximation For Extended Boundary Condition Method In Electromagnetic Scattering Analysis

Journal Title, Volume, Page: 
John Wiley & Sons, Inc. Microwave Opt Technol Lett, V. 32, I.2, 100-101, 2002
Year of Publication: 
2002
Authors: 
Naser A. Abu-Zaid
Department of Electrical and Electronic Engineering, Eastern Mediterranean University, Gazimagusa, Turkey
Current Affiliation: 
Department of Electrical Engineering, Faculty of Engineering, An-Najah National Universit
Haluk Tosun
Department of Electrical and Electronic Engineering, Eastern Mediterranean University, Gazimagusa, Turkey
Preferred Abstract (Original): 
The Pade approximation technique in conjunction with the extended boundary condition method (EBC) is implemented to solve the scattering problem over a finite frequency interval. The algorithm is based on expanding the system equations in their power series, and then finding a recurrence relation for the series coefficients. Fairly good results are obtained.
Naser Abu_Zaid's picture

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

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.
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