Numerical Study of Surface Integral Formulations for Low-Contrast Objects

Lloyd, T.W.; Song, Jiming; Yang, Ming

doi:10.1109/lawp.2005.862062

Cited by 23 publications

(18 citation statements)

References 9 publications

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“…With regard to the convergence speed, CNF and PMCHWT behave worse and their condition numbers are higher. The slow convergence of the PMCHWT iterative solution observed in this case and in all the LHM proposals studied in this work was already reported in [29] for homogeneous dielectric objects. The improved results of the other tangential formulation, the CTF approach, point out again the importance of the adequate selection of the combination parameters (a l and d l in this case).…”

Section: Iterative Performancesupporting

confidence: 72%

Comparison of Surface Integral Equations for Left-Handed Materials

Araújo¹,

Taboada²,

Rivero³

et al. 2011

PIER

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Abstract-A wide analysis of left-handed material (LHM) spheres with different constitutive parameters has been carried out employing different integral-equation formulations based on the Method of Moments. The study is focused on the accuracy assessment of formulations combining normal equations (combined normal formulation, CNF), tangential equations (combined tangential formulation, CTF, and Poggio-Miller-Chang-Harrington-Wu-Tsai formulation, PM-CHWT) and both of them (electric and magnetic current combined field integral equation, JMCFIE) when dealing with LHM's. Relevant and informative features as the condition number, the eigenvalues distribution and the iterative response are analyzed. The obtained results show up the suitability of the JMCFIE for this kind of analysis in contrast with the unreliable behavior of the other approaches.

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Section: Iterative Performancesupporting

confidence: 72%

Comparison of Surface Integral Equations for Left-Handed Materials

Araújo¹,

Taboada²,

Rivero³

et al. 2011

PIER

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“…Here the first operator matrix is essentially antisymmetric and hence, better balanced than in (15). This means that the conditioning of the matrix improves, in particular, at high permittivities.…”

Section: Stabilizing Jm-cfie(α) Formulationsmentioning

confidence: 99%

“…The permittivity of the object, a parameter that does not appear in the PEC case, has a significant effect on the properties of the formulations [12][13][14][15][16][17]. In many cases the JM-CFIE formulation has been found to be the most robust one, i.e., its properties are less dependent on the material contrast, frequency and other parameters, in particular, as the complexity or the size of the problem increases [13,18].…”

Section: Introductionmentioning

confidence: 99%

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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“…Using the Galerkin scheme, N formulations include well-tested identity terms, which appear on the diagonal blocks of the matrix equations. Therefore, the conditioning of the N formulations are significantly better than the conditioning of the T formulations [1], [4].…”

Section: Surface Integral Equationsmentioning

confidence: 99%