The multiscale compressed block decomposition algorithm (MS-CBD) is presented for highly accelerated direct (non iterative) solution of electromagnetic scattering and radiation problems with the method moments (MoM). demonstrated to exhibit <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$N^{2}$</tex> </formula> computational complexity storage requirements scaling...

We present a novel method of moments (MoM)-magnetic field integral equation (MFIE) discretization that performs closely to the MoM-EFIE in electromagnetic analysis moderately small objects. This new MoM-MFIE makes use set basis functions we name monopolar Rao-Wilton-Glisson (RWG) and are derived from RWG functions. show for wide variety objects -curved sharp-edged-that formulation outperforms conventional with

The multilevel matrix decomposition algorithm (MLMDA) was originally developed by Michielsen and Boag for 2D TMz scattering problems later implemented in 3D Rius et al. MLMDA particularly efficient accurate piece-wise planar objects such as printed antennas. However, arbitrary it not the fast multipole (MLFMA) compression error too large practical applications. This paper will introduce some improvements MLMDA, like new placement of equivalent functions SVD postcompression. first is crucial...

For electromagnetic analysis using method of moments (MoM), three-dimensional (3-D) arbitrary conducting surfaces are often discretized in Rao, Wilton and Glisson basis functions. The MoM Galerkin discretization the magnetic field integral equation (MFIE) includes a factor /spl Omega//sub 0/ equal to solid angle external surface at testing points, which is 2/spl pi/ everywhere on object, except edges or tips that constitute set zero measure. However, standard formulation MFIE with 0/=2/spl...

We present a novel technique to integrate analytically the highest-order terms of Kernel low-order curl-conforming magnetic-field integral equation (MFIE) operator. In computation bistatic RCS moderately small perfectly conducting sharp-edged examples, we show that this choice yields very similar performance MoM-EFIE formulation and outperforms MoM-MFIE based on RWG basis functions, both with accurate integration. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 44: 354–358, 2005;...

A novel algorithm, the compressed block decomposition (CBD), is presented for highly accelerated direct (noniterative) method of moments (MoM) solution electromagnetic scattering and radiation problems. The algorithm based on a block-wise subdivision MoM impedance matrix. Impedance matrix subblocks corresponding to distant subregions problem geometry are not calculated directly, but approximated in form. Subsequently, decomposed preserving compression. Examples typical problems range 5000...

Galerkin implementations of the method moments (MoM) electric-field integral equation (EFIE) have been traditionally carried out with divergence-conforming sets. The normal-continuity constraint across edges gives rise to cumbersome around junctions for composite objects and less accurate combined field (CFIE) closed sharp-edged conductors. We present a new MoM-discretization EFIE conductors based on nonconforming monopolar-RWG set, no continuity edges. This approach, which we call...

This paper presents a modification of the adaptive cross approximation (ACA) algorithm for accelerated solution Method Moments linear system electrically large radiation and scattering problems. As with ACA, subblocks impedance matrix that represent interaction between well separated subdomains are substituted by "compressed" approximations allowing reduced storage iterative solution. The modified approximates original products sparse matrices, constructed aid ACA sub-sampling basis...

We present new implementations in Method of Moments two types second kind integral equations: (i) the recently proposed Electric-Magnetic Field Integral Equation (EMFIE), for perfectly conducting objects, and (ii) Müller formulation, homogeneous or piecewise dielectric objects.We adopt Taylororthogonal basis functions, a presented set facet-oriented which, as we show this paper, arise from Taylor's expansion current at centroid discretization triangles.We that Taylor-orthogonal EMFIE...

This paper addresses the direct (noniterative) solution of method-of-moments (MoM) linear system, accelerated through block-wise compression MoM impedance matrix. Efficient matrix block is achieved using adaptive cross-approximation (ACA) algorithm and truncated singular value decomposition (SVD) postcompression. Subsequently, a applied that preserves allows for fast by backsubstitution. Although not as some iterative methods very large problems, has several desirable features, including:...

The adaptive cross approximation (ACA) algorithm, when used to accelerate the numerical solution of integral equations for radiation and scattering problems, sometimes suffers from inaccuracies. These inaccuracies occur ACA convergence criterion, which is based on an residual relative error, prematurely satisfied. This paper identifies two sources this problem proposes adaptations algorithm that remedy them.

The multilevel matrix decomposition algorithm (MLMDA) has been implemented in 3-D for the solution of large electromagnetic problems. electric field integral equation is solved arbitrary surfaces discretized using N Rao, Wilton, and Glisson basis functions. MLMDA accelerates matrix–vector products a conjugate gradient or biconjugate iterative resulting system equations. computational cost each iteration proportional to log2 very problems, particularly small planar piecewise objects. ©1999...

The volumetric monopolar-RWG discretization of the electric-field integral equation (EFIE) imposes no continuity constraint across edges in surface around a closed conductor. current is expanded with set and electric field tested over tetrahedral elements attached to boundary surface. This scheme facet-oriented therefore, well suited for scattering analysis nonconformal meshes or composite objects. observed accuracy, though, only competitive respect RWG-discretization restricted range...

This paper presents a new graphical processing technique for fast computation of PO surface integral. In contrast with the original approach introduced by authors in 1993, one combines novel shadowing algorithm together conventional facet-based Gordon's formula, instead pixel-based Asvestas' approximation. The resulting hybrid needs more CPU power very complex radar targets, but is free from pixel discretization noise inherent to processing. It has same accuracy as Physical Optics...

In recent years, there has been a growing interest in developing invisibility cloaks that can conceal an object. These techniques are often based either on coating dielectric or conducting object with homogeneous plasmonic layer of negative permittivity [1] creating multilayer structure [2] cancels the scattering cloaked (i.e., cancelation technique). The technique may also be inhomogeneous bends electromagnetic waves around region occupied by without interacting it transformation optics...

The adaptive cross approximation (ACA) algorithm has been used in many fast Integral Equation solvers for electromagnetic Radiation and Scattering problems. It efficiently computes a low rank to the interaction matrix between mutually distant parts of scattering object. ACA is an iterative that needs accurate efficient convergence criterion. evaluation this criterion may consume considerable part computational resources. This communication presents new way evaluate criterion, using...

The authors present a new formulation of the integral equation measured invariance as combined field discretised by method moments, in which use numerically derived testing functions results an approximately sparse linear system with storage memory requirements and CPU time for computing matrix coefficients proportional to number unknowns.

The accuracy of the adaptive cross approximation (ACA) algorithm, a popular method for compression low-rank matrix blocks in moment computations, is sometimes seriously compromised by unpredictable errors convergence criterion. This article proposes an alternative criterion based on global sampling error elements ACA compressed matrix. depends not only size sample but also population distribution error, which makes it difficult to control independently underlying problem. However, as argued...

Nonconforming implementations of the electric-field integral equation (EFIE), based on facet-oriented monopolar-RWG set, impose no continuity constraints in expansion current between adjacent facets. These schemes become more versatile than traditional edge-oriented schemes, RWG because they simplify management junctions composite objects and allow analysis nonconformal triangulations. Moreover, for closed moderately small conductors with edges corners, show improved accuracy respect to...

Abstract In this paper, we present two new sets of basis functions, which name monopolar RWG and nxRWG . These are derived from the conventional divergence‐conforming curl‐conforming low‐order sets, For a wide variety moderately small objects, show validity Galerkin MoM‐MFIE discretizations. We performance improvement for formulation with respect to choice robustness both formulations © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 46: 237–241, 2005; Published online in...

This paper presents the Multiscale CBD method for accelerated direct solution of scattering and radiation problems with Method Moments. The has all advantages a it is essentially parameter-free (there only parameter tau controlling accuracy against efficiency). It an improved efficiency storage requirements respect to ordinary CBD. Two significant computations have been presented, open pipe NASA almond.

The surface integral equation (SIE) method, discretized with the method of moments, is a well-established methodology for scattering analysis subwavelength plasmonic nanoparticles. SIEs are usually low-order basis functions that preserve normal continuity currents across edges arising in meshed boundary, such as Rao-Wilton-Glisson (RWG) functions. However, enhancement modeling on sharp-edged particles an extremely challenging task, especially due to singular fields exerted at sharp corners,...