Efficient finite element solution of low-frequency scattering problems via anisotropic metamaterial layers

Ozgun, Ozlern
Kuzuoğlu, Mustafa
We introduce a new technique which remedies the drawbacks in the Finite Element solution of low-frequency electromagnetic scattering problems, through the usage of an anisotropic metamaterial layer which is designed by employing the coordinate transformation approach. The usual finite element method should utilize a "challenging" mesh generation scheme to accurately simulate the "small" objects in scattering problems; on the contrary, the proposed technique provides a considerable reduction in the number of unknowns, and requires a more convenient and simpler mesh structure inside the computational domain. The most interesting feature of the proposed method is its capability to handle arbitrarily shaped "small" scatterers by using a "single" mesh and by modifying only the constitutive parameters inside the matamaterial layer. We report some numerical results for two-dimensional electromagnetic scattering problems. (c) 2008 Wiley Periodicals, Inc.


Ozgun, Ozlem; Mittra, Raj; Kuzuoğlu, Mustafa (Wiley, 2010-05-01)
In this article, we introduce a new type of Characteristic Basis Finite Element Method (CBFEM), which is based on the concepts of Physical Optics (PO) and Perfectly Matched Layers (PMLs), for solving large-scale electromagnetic scattering problems in a rigorous and efficient manner. This parallel and iteration-free technique, called CBFEM-PO, decomposes the computational domain into a number of subdomains, and generates three types of characteristic basis functions (CBEs) that are specially-tailored to each...
A robust algorithm for the solution of electromagnetic problems over a frequency interval via the Pade approximation
Kuzuoğlu, Mustafa (Wiley, 1999-03-20)
In this paper, we present an efficient and systematic algorithm for the solution of electromagnetic scattering and radiation problems over a wide frequency interval. The algorithm is based on the evaluation of the Pade approximant of the solution vector, constructed at a minimum number of expansion frequencies within the interval of interest. The bisection algorithm introduced in this paper is robust. It keeps the approximation error bounded by a predefined constant over the entire frequency band. (C) 1999 ...
Locally-conformal perfectly matched layer implementation for finite element mesh truncation
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2006-09-01)
In this article, we introduce the locally conformal perfectly matched layer (PML) technique, which is an easily implementable conformal PML implementation, obtained via complex coordinate transformation, for the purpose of mesh truncation in the finite element method. After deriving the governing equations, we test this technique using electromagnetic scattering problems. (C) 2006 Wiley Periodicals, Inc.
Forward-backward domain decomposition method for finite element solution of electromagnetic boundary value problems
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-10-01)
We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains,for electromagnetic, boundary value problems. The proposed method is non-iterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two- dimensional...
An efficient solution of the generalized eigenvalue problems for planar transmission lines
Prakash, VVS; Kuzuoğlu, Mustafa; Mittra, R (Wiley, 2001-11-05)
This paper presents an efficient solution for solving the generalized eigenvalue equation arising in the finite-element (FE) formulation of propagation characterization of planar transmission-line structures. A two-dimensional (2-D) finite-element method (FEM) is used for analyzing the uniform planar transmission lines. The Arnoldi algorithm is used in conjunction with the multifrontal decomposition of the system matrix for solving the eigensystem. Convergence is typically obtained within a few iterations o...
Citation Formats
O. Ozgun and M. Kuzuoğlu, “Efficient finite element solution of low-frequency scattering problems via anisotropic metamaterial layers,” MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, pp. 639–646, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34356.