Electromagnetic modeling of composite metallic and dielectric structures

Kolundžija, Branko M.

doi:10.1109/22.775434

Cited by 181 publications

(125 citation statements)

References 20 publications

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“…Eventually, as the permittivity contrast is high enough, the off-diagonal blocks of the first matrix of (15) become illbalanced and the iteration convergence of JM-CFIE1(α) essentially slows down. At α = 1 JM-CFIE1(α) formulation does not have a similar behavior, because the identity operator vanishes and JM-CFIE1 (1) reduces to an integral equation of the first kind. Since JM-CFIE1(α) with α = 0 seems to be the most sensitive to the increase of the permittivity contrast (see e.g., Figure 1), we may conclude that the permittivity instability of the JM-CFIE1(α) formulation is a consequence of the properties of the integral equation of the second kind JM-CFIE1(0).…”

Section: Permittivity Instability Of Jm-cfie(α)mentioning

confidence: 99%

“…Figure 19 shows the backscattered RCS as a function of the number of unknowns. Here, in addition to the RWG and LL functions, also the second order quadratic-quadratic (QQ) functions [1] are used to discretize the equations. For comparison also the solution obtained with the integral equation of the first kind EFIE-PMCHWT formulation (EFIE on the metallic surface and PMCHWT on the dielectric interface) is plotted.…”

Section: Solution Accuracymentioning

confidence: 99%

“…Surface integral equation methods are popular in solving electromagnetic scattering and radiation problems containing metallic, homogeneous dielectric and composite materials [1]. One of the desired properties of a surface integral equation formulation is that it eliminates internal resonances.…”

Section: Introductionmentioning

confidence: 99%

“…In the case of homogeneous dielectric objects there are a lot of formulations, called coupled region integral equations (CRIE) [1,3], that are free of the internal resonances. Well-known examples of these formulations are Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) and Müller formulations.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Analysis of Combined Field Integral Equation Formulations for Electromagnetic Scattering by Dielectric and Composite Objects

Ylä‐Oijala¹

2008

PIER C

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Abstract-Numerical analysis of a generalized form of the recently developed electric and magnetic current combined field integral equation (JM-CFIE) for electromagnetic scattering by homogeneous dielectric and composite objects is presented. This new formulation contains a similar coupling parameter α as CFIE contains in the case of perfectly conducting objects. Two alternative JM-CFIE(α) formulations are introduced and their numerical properties (solution accuracy and convergence of iterative Krylov subspace methods) are investigated. The properties of these formulations are found to be very sensitive to the choice of α and to the permittivity of the object. By using normalized fields and currents the optimal value of α minimizing the number of iterations becomes only weakly dependent on the permittivity object. Using linear-linear basis functions instead of the more conventional constant-linear (RWG) basis functions the solution accuracy can be made less dependent on the choice of α.

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Section: Permittivity Instability Of Jm-cfie(α)mentioning

confidence: 99%

Section: Solution Accuracymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Analysis of Combined Field Integral Equation Formulations for Electromagnetic Scattering by Dielectric and Composite Objects

Ylä‐Oijala¹

2008

PIER C

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“…The method of moments (MoM) [5,6], the finite difference time domain (FDTD) approach [7,8] and T-matrix method [9], etc., have been developed to solve EM scattering by complex bodies consisting of the bi-isotropic media. When the BI objects are homogeneous or piecewise homogeneous, MoM is preferred because it limits the discretization of the unknown quantities to the surfaces of the objects and the discontinuous interfaces between different materials [10][11][12][13]. Despite this, the computational requirements for MoM solution of this type of problems are still very high.…”

Section: Introductionmentioning

confidence: 99%

Solution to Electromagnetic Scattering by Bi-Isotropic Media Using Multilevel Green's Function Interpolation Method

Shi

Chan²

2009

PIER

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Abstract-In this paper, a multilevel Green's function interpolation method (MLGFIM) is developed to analyze electromagnetic scattering from an arbitrarily shaped three-dimensional objects comprised of both conductor and bi-isotropic media. The field decomposition method is adopted to split the homogeneous bi-isotropic media into two uncoupled isotropic media instead of direct calculation of complicated Green's function in bi-isotropic material. The problem is formulated using the Paggio-Miller-Chang-Harrington-WuTsai (PMCHWT) approach for multiple homogeneous isotropic media and electric field approach for conducting bodies. The resultant integral equations are discretized by the method of moment (MoM) and iteratively solved by MLGFIM. Numerical examples illustrate accuracy of this algorithm and CPU time of O(N log N ) and memory requirement of O(N ).

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Method of Moments: As Applied to the Solution of Electromagnetic Integral Equations

Dault

Shanker

2015

Wiley Encyclopedia of Electrical and Electronics Engineering

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Integral equation‐based techniques are one of the primary solution approaches for analysis of electromagnetic systems. Most electromagnetic integral equations cannot be solved analytically, and numerical methods are therefore required. The most common numerical solution technique for these types of equations is the moment method. Over the past few decades, several bottlenecks in terms of accuracy and cost of the moment method have been solved, so much so that analysis of problems in excess of millions of degrees of freedom is now almost routine. Given the ubiquity of these numerical methods, and because the moment method and the formulation of integral equations are inextricably linked, this article presents a gentle introduction to some common classes of electromagnetic integral equations and accompanying moment method formulations to numerically solve them. Recent progress and unsolved and open problems in moment methods are also presented.

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Electromagnetic modeling of composite metallic and dielectric structures

Cited by 181 publications

References 20 publications

Numerical Analysis of Combined Field Integral Equation Formulations for Electromagnetic Scattering by Dielectric and Composite Objects

Numerical Analysis of Combined Field Integral Equation Formulations for Electromagnetic Scattering by Dielectric and Composite Objects

Solution to Electromagnetic Scattering by Bi-Isotropic Media Using Multilevel Green's Function Interpolation Method

Method of Moments: As Applied to the Solution of Electromagnetic Integral Equations

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