Extension of forward-backward method with DFT-based acceleration algorithm for the efficient analysis of large periodic arrays with arbitrary boundaries

An extension of the discrete Fourier transform (DFT)-based forward-backward algorithm is developed using the virtual-element approach to provide a fast and accurate analysis of electromagnetic radiation/scattering front electrically large, planar, periodic, finite (phased) arrays with arbitrary boundaries. Both the computational complexity and storage requirements of this approach are O(N-tot) (N-tot is the total number of unknowns). The numerical results for both printed and freestanding dipole array's with circular and/or elliptical boundaries are presented to validate the efficiency, and accuracy of this approach. (c) 2005 Wiley Periodicals, Inc.


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 ...
Analysis of composite nanoparticles with surface integral equations and the multilevel fast multipole algorithm
Ergül, Özgür Salih (IOP Publishing, 2012-06-01)
Composite nanoparticles involving multiple parts with different material properties are analyzed rigorously with surface integral equations and the multilevel fast multipole algorithm. Accuracy and efficiency of the developed parallel implementation are demonstrated on spherical objects with dielectric, perfectly conducting, plasmonic, and double-negative regions. Significant effects of the formulation on numerical solutions are also considered to show the tradeoff between the efficiency and accuracy.
A theoretical study of chemical doping and width effect on zigzag graphene nanoribbons
Pekoz, Rengin; Erkoç, Şakir (Elsevier BV, 2009-12-01)
The energetics and the electronic properties of nitrogen- and boron-doped graphene nanoribbons with zigzag edges have been investigated using density functional theory calculations. For the optimized geometry configurations, vibrational frequency analysis and wavefunction stability tests have been carried out. Different doping site optimizations for a model nanoribbon have been performed and formation energy values of these sites revealed that zigzag edgesite for both of the dopants were the most favorable ...
A numerically stable algorithm for scattering from several circular cylinders including metamaterials with different boundary conditions
The analytically obtained algebraic equation systems for the TM/TE-z polarized monochromatic waves scattering from eccentrically layered circular cylinders are ill-conditioned for numerical calculations. Therefore, such ill conditioned systems must be regularized for reliable numerical results. Here, the steps of the regularization of the ill conditioned system obtained for the scattered field from a circular metamaterial cylinder includes three parallel circular cylinders: a dielectric, an impedance and a ...
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...
Citation Formats
H. Ö. Aydın Çivi and H. Chou, “Extension of forward-backward method with DFT-based acceleration algorithm for the efficient analysis of large periodic arrays with arbitrary boundaries,” MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, pp. 293–298, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47309.