Browsing by Keywords "Integral equations"
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Derivation of ClosedForm Green’s Functions for a General Microstrip Geometry
(1992)The derivation of the closedform spatial domain Green’s functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and a superstate, whose thicknesses can be arbitrary. The ... 
Design and analysis of slotted sectoral waveguide array antennas embedded in cylindrically stratified media
(IEEE, 201407)Slotted waveguide antennas are being widely used in military and commercial applications for many decades. Low crosspolarization, high power capacity, ease of fabrication in microwave bands, and the ability to form arrays ... 
Digital computation of the fractional Fourier transform
(Institute of Electrical and Electronics Engineers, 199609)An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with timebandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A ... 
Direct numerical solution of the LippmannSchwinger equation in coordinate space without partialwave decomposition
(American Physical Society, 2016)Direct numerical solution of the coordinatespace integralequation version of the twoparticle LippmannSchwinger (LS) equation is considered without invoking the traditional partialwave decomposition. The singular kernel ... 
An effective preconditioner based on schur complement reduction for integralequation formulations of dielectric problems
(IEEE, 2009)The author consider effective preconditioning of recently proposed two integralequation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combinedfield integral ... 
Effective preconditioners for large integralequation problems
(IET, 200711)We consider effective preconditioning schemes for the iterative solution of integralequation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the nearfield system enables ... 
Efficient and robust approach for the derivation of closedform Green's functions
(IEEE, 1995)Spatial domain Green's functions for multilayer, planar geometries are cast into closed forms with twolevel approximation of the spectral domain representation of the Green's functions. This approach is very robust and ... 
Efficient evaluation of spatialdomain MoM matrix entries in the analysis of planar stratified geometries
(IEEE, 2000)An efficient hybrid method for evaluation of spatialdomain methodofmoments (MoM) matrix entries is presented in this paper. It has already been demonstrated that the introduction of the closedform Green's functions ... 
Efficient methods for electromagnetic characterization of 2D geometries in stratified media
(IEEE, 1998)Numerically efficient method of moments (MoM) algorithms are developed for and applied to 2D geometries in multilayer media. These are, namely, the spatialdomain MoM in conjunction with the closedform Green's functions, ... 
Efficient parallelization of the multilevel fast multipole algorithm for the solution of largescale scattering problems
(Institute of Electrical and Electronics Engineers, 200808)We present fast and accurate solutions of largescale scattering problems involving threedimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient ... 
Efficient solution of the combinedfield integral equation with the parallel multilevel fast multipole algorithm
(IEEE, 200708)We present fast and accurate solutions of largescale scattering problems formulated with the combinedfield integral equation. Using the multilevel fast multipole algorithm (MLFMA) parallelized on a cluster of computers, ... 
Efficient solution of the electric and magnetic current combined‐field integral equation with the multilevel fast multipole algorithm and block‐diagonal preconditioning
(WileyBlackwell Publishing, Inc., 200912)We consider the efficient solution of electromagnetics problems involving dielectric and composite dielectricmetallic structures, formulated with the electric and magnetic current combinedfield integral equation (JMCFIE). ... 
Efficient use of closedform Green's functions for threedimensional problems involving multilayered media
(IEEE, 199406)With the use of casting the spatial domain Green's functions into closed forms approach, it was demonstrated that the computational efficiency of the method of moments (MoM) for the solution of the mixed potential integral ... 
EFIE and MFIE, why the difference?
(IEEE, 200807)EFIE (electric field integral equation) suffers from internal resonance, and the remedy is to use MFIE (magnetic field integral equation) to come up with a CFIE (combined field integral equation) to remove the internal ... 
Electromagnetic scattering by several 2D single biological cell models
(IEEE, 201801)The electromagnetic 2D scattering from a single biological cell is analyzed by using Muller boundary integral equation (MBIE) method. The accuracy and smoothness of the solution are improved by applying Nystromtype ... 
Electromagnetic scattering solution of conducting strips in layered media using the fast multipole method
(Institute of Electrical and Electronics Engineers, 199608)The fast multipole method (FMM) is applied to the solution of the electromagnetic scattering problems in layered media for the first time. This is achieved by using closedform expressions for the spatialdomain Green's ... 
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the spacebandwidth product
(Optical Society of America, 20100730)Linear canonical transforms (LCTs) form a threeparameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique ... 
Extending the applicability of the combinedfield integral equation to geometries containing open surfaces
(Institute of Electrical and Electronics Engineers, 2006)In this letter, we consider the solution of large electromagnetics problems of composite structures with coexisting open and closed conductors. By modifying the construction of the combinedfield integral equation (CFIE), ... 
Fast acceleration algorithm based on DFT expansion for the iterative MoM analysis of electromagnetic radiation/scattering from twodimensional large phased arrays
(IEEE, 2002)An acceleration algorithm based on Discrete Fourier Transform (DFT) is developed to reduce the computational complexity and memory storages of iterative methods of moment (IMoM) solution to O(Ntot), where Ntot is the total ... 
Fast and accurate analysis of largescale composite structures with the parallel multilevel fast multipole algorithm
(Optical Society of America, 2013)Accurate electromagnetic modeling of complicated optical structures poses several challenges. Optical metamaterial and plasmonic structures are composed of multiple coexisting dielectric and/or conducting parts. Such ...