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Memoryefficient multilevel physical optics algorithm for fast computation of scattering from threedimensional complex targets
(IEEE, 2007)Multilevel physical optics (MLPO) algorithm provides a speedup for computing the physicaloptics integral over complex bodies for a range of aspect angles and frequencies. On the other hand, when computation of the RCS ... 
Microwave imaging of threedimensional conducting objects using the newton minimization approach
(IEEE, 2013)In this work, we present a framework to detect the shape of unknown perfect electric conducting objects by using inverse scattering and microwave imaging. The initialguess object, which evolves to achieve the target, is ... 
MLFMA memory reduction techniques for solving largescale problems
(IEEE, 2014)We present two memory reduction methods for the parallel multilevel fast multipole algorithm. One of these methods uses data structures out of core, and the other parallelizes the data structures related to input geometry. ... 
A modified equivalence principle for open surfaces
(IEEE, 2014)We introduce a new method for expanding equivalent surface current densities over open surfaces. The new method is based on the equivalence principle, which is theoretically used with closed surfaces. Utilizing loworder ... 
Multilevel physical optics algorithm for fast solution of scattering problems involving nonuniform triangulations
(IEEE, 2007)This paper shows the computational efficiency of the multilevel physical optics (MLPO) algorithm can be further increased by employing nonuniform triangulations of the target surface so that the triangle size is not nearly ... 
On the errors arising in surface integral equations due to the discretization of the identity operator
(IEEE, 2009)Surface integral equations (SIEs) are commonly used to formulate scattering and radiation problems involving threedimensional metallic and homogeneous dielectric objects with arbitrary shapes. For numerical solutions, ... 
ParallelMLFMA solution of CFIE discretized with tens of millions of unknowns
(Institution of Engineering and Technology, 2007)We consider the solution of large scattering problems in electromagnetics involving threedimensional arbitrary geometries with closed surfaces. The problems are formulated accurately with the combinedfield integral ... 
POMLFMA hybrid technique for the solution of electromagnetic scattering problems involving complex targets
(Institution of Engineering and Technology, 2007)The multilevel fast multipole algorithm (MLFMA) is a powerful tool for efficient and accurate solutions of electromagnetic scattering problems involving large and complicated structures. On the other hand, it is still ... 
Preconditioning iterative MLFMA solutions of integral equations
(IEEE, 2010)The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solutions of electromagnetics problems with low complexity. Iterative solvers, however, are not robust for threedimensional complex ... 
Reducing MLFMA memory with outofcore implementation and datastructure parallelization
(IEEE, 2013)We present two memoryreduction methods for the parallel multilevel fast multipole algorithm (MLFMA). The first method implements outofcore techniques and the second method parallelizes the preprocessing data structures. ... 
Rigorous analysis of doublenegative materials with the multilevel fast multipole algorithm
(Applied Computational Electromagnetics Society, Inc., 2012)We present rigorous analysis of doublenegative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). Accuracy and efficiency of numerical solutions are investigated when ... 
Rigorous solutions of electromagnetic problems involving hundreds of millions of unknowns
(IEEE, 2011)Accurate simulations of reallife electromagnetic problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be easily ... 
Rigorous solutions of largescale dielectric problems with the parallel multilevel fast multipole algorithm
(IEEE, 2011)We present fast and accurate solutions of largescale electromagnetics problems involving threedimensional homogeneous dielectric objects. Problems are formulated rigorously with the electric and magnetic current ... 
Rigorous solutions of scattering problems involving red blood cells
(IEEE, 2010)We present rigorous solutions of scattering problems involving healthy red blood cells (RBCs) and diseased RBCs with deformed shapes. Scattering crosssection (SCS) values for different RBC shapes and different orientations ... 
Schur complement preconditioners for surface integralequation formulations of dielectric problems solved with the multilevel fast multipole algorithm
(Society for Industrial and Applied Mathematics, 20111004)Surface integralequation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of reallife dielectric problems. Unlike the perfectelectricconductor ... 
Sequential and parallel preconditioners for largescale integralequation problems
(IEEE, 2007)For efficient solutions of integralequation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for ... 
Solution of extremely large integralequation problems
(IEEE, 2007)We report the solution of extremely large integralequation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative ... 
The solution of large EFIE problems via preconditioned multilevel fast multipole algorithm
(Institution of Engineering and Technology, 2007)We propose an effective preconditioning scheme for the iterative solution of the systems formulated by the electric field integral equation (EFIE). EFIE is notorious for producing difficulttosolve systems. Especially, ... 
Solution of lowfrequency electromagnetics problems using hierarchical matrices
(IEEE, 2013)Fast and accurate solutions of lowfrequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrixvector multiplications (MVMs). The results show ... 
Solutions of large integralequation problems with preconditioned MLFMA
(IEEE, 2007)We report the solution of the largest integralequation problems in computational electromagnetics. We consider matrix equations obtained from the discretization of the integralequation formulations that are solved ...