A Novel Multitrace Boundary Integral Equation Formulation for Electromagnetic Cavity Scattering Problems

Peng, Zhen

doi:10.1109/tap.2015.2458328

Cited by 18 publications

(7 citation statements)

References 61 publications

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“…where A is the matrix of the linear system shown in (19), and P −1 is the preconditioner. In this work, P is constructed as:…”

Section: Preconditioning Techniquementioning

confidence: 99%

“…By doing this, the boundaries of each subdomain are always the touching faces. Since each sub-domain is meshed independently, there are always a pair of meshes at the sub-domain interfaces, which is referred to as multitraces [19], [20]. It is noted that in traditional SIE-DDM and CRM, the interactions between sub-domains are accounted for using global radiation coupling.…”

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confidence: 99%

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A Local Coupling Multitrace Domain Decomposition Method for Electromagnetic Scattering From Multilayered Dielectric Objects

Zhao

Chen

et al. 2020

IEEE Trans. Antennas Propagat.

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In this paper, a local coupling multi-trace domain decomposition method (LCMT-DDM) based on surface integral equation (SIE) formulations is proposed to analyze electromagnetic scattering from multilayered dielectric objects. Different from the traditional SIE-DDM, where the interactions between sub-domains are accounted for using global radiation coupling, LCMT-DDM uses a local coupling scheme. The original multilayered object is decomposed into several independent domains, i.e. the exterior region (free space) and many homogeneous interior regions (dielectrics). The boundaries of sub-domains are all touching-faces, where only the Robin transmission conditions (RTCs) are enforced to ensure the field continuity. Hence, each sub-domain only couples with its neighboring regions, which makes the DDM system a highly sparse matrix especially when the number of sub-domains is large. In each sub-domain, the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE) for dielectrics are used as the governing equations. By imposing RTCs, well-conditioned equations are formed in each sub-domain without invoking the combined field integral equation (CFIE), which usually causes accuracy issues in dielectric modeling. Since the sub-domain matrices are diagonally dominant, the flexible generalized minimal residual (FGMRES) technique is used to accelerate the iterative solution of the whole DDM system. Moreover, an effective preconditioner that can be recursively constructed is proposed.

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“…where A is the matrix of the linear system shown in (19), and P −1 is the preconditioner. In this work, P is constructed as:…”

Section: Preconditioning Techniquementioning

confidence: 99%

mentioning

confidence: 99%

A Local Coupling Multitrace Domain Decomposition Method for Electromagnetic Scattering From Multilayered Dielectric Objects

Zhao

Chen

et al. 2020

IEEE Trans. Antennas Propagat.

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“…Therefore, the well-conditioning of the MT-DD-SIE matrix is maintained even after the PEC sub-domains are accounted for. Note that PEC-RTCs have been first proposed in [20], but they are used to avoid the issues arising from strong coupling between sub-domains introduced within a PEC cavity. In this work, they are used to efficiently and accurately account for the PEC bodies within a multi-trace SIE method developed for composite objects.…”

Section: Introductionmentioning

confidence: 99%

A Multitrace Surface Integral Equation Method for PEC/Dielectric Composite Objects

Zhao

et al. 2021

Antennas Wirel. Propag. Lett.

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The multi-trace domain-decomposition surface integral equation (MT-DD-SIE) originally developed to analyze electromagnetic scattering from dielectric composite objects is extended to efficiently account for perfect electrically conducting (PEC) bodies. This is achieved by adopting Robin transmission conditions (RTCs) to PEC surfaces. These PEC-RTCs, which are the only governing equations for a PEC body, are used to "couple" it to the dielectric bodies. Upon discretization, PEC-RTCs produce a well-conditioned matrix block and therefore does not negatively affect the convergence of the iterative solution of the MT-DD-SIE matrix equation. The resulting method is significantly faster and has a smaller memory footprint than the traditional globally-coupled contact-region-modeling method that uses the coupled electric field and Poggio-Miller-Chang-Harrington-Wu-Tsai SIEs in analyzing electromagnetic scattering from composite PEC/dielectric objects. This is demonstrated by numerical examples involving electrically large scatterers.

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“…To this end, several new TCs have been proposed recently. For example, an optimized second order TC is developed to improve the convergence of cavity scattering problems in [8]. In [9], Maurin et al proposed a new DDM formulation with a better condition number for conducting objects.…”

Section: Introductionmentioning

confidence: 99%

A Novel JMCFIE-DDM for Analysis of EM Scattering and Radiation by Composite Objects

Guo

Chen

et al. 2017

Antennas Wirel. Propag. Lett.

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In this letter, a new integral equation domain decomposition method (IE-DDM) using electric and magnetic current combined-field integral equation (JMCFIE) is proposed for efficient EM analysis of composite objects. This method provides a flexible way to decompose a complex composite domain into several easily solvable non-overlapping sub-domains. In order to obtain a good approximation of the global solution, both electric and magnetic field interactions are considered at the sub-domain interfaces, in addition to the traditional Robintype transmission conditions. In this manner, the unphysical reflections at sub-domain interfaces can be further suppressed. It is shown that the condition of the new JMCFIE-DDM system is much improved in this new implementation. Accuracy and efficiency of the proposed method are demonstrated through several numerical experiments.

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A Novel Multitrace Boundary Integral Equation Formulation for Electromagnetic Cavity Scattering Problems

Cited by 18 publications

References 61 publications

A Local Coupling Multitrace Domain Decomposition Method for Electromagnetic Scattering From Multilayered Dielectric Objects

A Local Coupling Multitrace Domain Decomposition Method for Electromagnetic Scattering From Multilayered Dielectric Objects

A Multitrace Surface Integral Equation Method for PEC/Dielectric Composite Objects

A Novel JMCFIE-DDM for Analysis of EM Scattering and Radiation by Composite Objects

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