Characteristic Mode Formulation for Dielectric Coated Conducting Bodies

Guo, Liwen; Chen, Yikai; Yang, Shiwen

doi:10.1109/tap.2016.2647687

Cited by 38 publications

(7 citation statements)

References 30 publications

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“…After postprocessing, the eigenvalues were shown to agree with the ones of the VIO formulation giving real eigenvalues. Recently, several alternative CM formulations have been proposed for homogeneous dielectric bodies as well as for combined PEC and lossless dielectric structures . However, only Miers and Lau and Ylä‐Oijala et al consider lossy cases.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, several alternative CM formulations have been proposed for homogeneous dielectric bodies [17][18][19][20][21] as well as for combined PEC and lossless dielectric structures. [22][23][24][25] However, only Miers and Lau 16 and Ylä-Oijala et al 21 consider lossy cases. As pointed out in Guo et al, 22 a major challenge related to the CM formulation for lossy structures is the separation of dissipated power from radiated and reactive power.…”

Section: Introductionmentioning

confidence: 99%

“…[22][23][24][25] However, only Miers and Lau 16 and Ylä-Oijala et al 21 consider lossy cases. As pointed out in Guo et al, 22 a major challenge related to the CM formulation for lossy structures is the separation of dissipated power from radiated and reactive power. Similarly as in Ylä-Oijala et al 14 for IBC, formulations proposed in Ylä-Oijala et al 21 lead to complex eigenvalues if the structure is lossy.…”

Section: Introductionmentioning

confidence: 99%

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Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Ylä‐Oijala

Wallén

Järvenpää

2019

Int J Numerical Modelling

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Volume integral equation (VIE) and surface integral equation (SIE) based characteristic mode (CM) formulations are investigated in the case of lossy objects. Imperfectly conducting metallic structures modelled with an impedance boundary condition and lossy dielectric bodies are considered. Two types of CM formulations are studied. In the first one, the generalized eigenvalue equation is expressed in terms of the Hermitian parts of the integral operators. In the second one, the weighting operator of the eigenvalue equation is defined so that the eigenvectors form a weighted orthogonal set, weighted with respect to radiated power. The first approach gives real eigensolutions and is found to lead to clustering of the eigenvalues as losses are increased. From these solutions it is difficult to separate contributions of radiated, reactive, and dissipated power. This separation appears naturally in the second approach that gives complex eigensolutions. As applications including lossy materials, CM analyses of a graphene sheet and a plasmonic nanoparticle are presented.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Ylä‐Oijala

Wallén

Järvenpää

2019

Int J Numerical Modelling

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“…The fundamental mode of the hemispherical DRA is the TE 111 mode, whose modal behaviors have been investigated using either analytic method [23] or TCM [14]- [16]. Benefiting from the image theory and the symmetry of the TE 111 mode, we can remove the ground plane and regard the DRA as a fully dielectric-coated conducting sphere without changing the modal behaviors of the TE 111 mode [14]- [16]. Fig.…”

Section: A Fully Dielectric-coated Metalmentioning

confidence: 99%

“…The formulations of [13] are only valid for the objects with separated metallic and dielectric parts. The formulations in [14], [15] can be only applied to the fully dielectric-coated objects. The formulations of [16], [17] are applicable to arbitrarily composite metallic-dielectric objects.…”

Section: Introductionmentioning

confidence: 99%

Alternative Surface Integral Equation-Based Characteristic Mode Formulations for Composite Metallic-Dielectric Objects

et al. 2020

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The characteristic modes (CMs) analysis can give physical insights into the intrinsic mechanisms of radiating structures. To obtain the CMs of composite metallic-dielectric objects is a very challenging task. Existing formulations encounter some problems in calculating the CMs of multiple and multi-layer composite structures. In this paper, we present two new surface integral equation (SIE) formulations for the calculation of CMs of composite metallic-dielectric objects. Employing the contact-region modeling (CRM) technique and the inherent dependent relationships between various kinds of equivalent sources, we propose two new SIE-based CM formulations wherein the electric or magnetic currents on the surfaces of dielectric regions are alternatively involved to suppress spurious modes. Compared to the existing formulations, the proposed formulations are easier to be extended to multiple and multi-layer composite structures. Numerical results of five representative structures are presented to validate the accuracy of the proposed formulations. INDEX TERMS Surface integral equation (SIE), characteristic modes (CMs), contact-region modeling (CRM), composite metallic-dielectric objects.

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Unified Implementation and Cross-Validation of the Integral Equation-Based Formulations for the Characteristic Modes of Dielectric Bodies

et al. 2020

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Theory of characteristic modes (TCM) can provide physical insight into the radiation mechanism of arbitrarily-shaped electromagnetic objects. However, how to compute the characteristic modes (CMs) of different structures is still an open problem. Even for the calculation of CMs of an isolated dielectric body, there are eleven integral equation (IE)-based formulations which result in different modal solutions. Such kind of non-uniqueness of solutions makes CMs community confused. One of the objectives of this paper is to outline the differences among all existing IE-based formulations for the CMs of dielectric bodies. The existing formulations are briefly reviewed and carefully compared. We present a procedure to implement the different formulations in a unified manner. Then, we make a complete comparison of the numerical results of existing methods for a dielectric cylinder, which also serves as cross-validation for these approaches. We hope that this paper will help researchers understand the calculation of CMs of dielectric bodies and explore the computation methods of CMs for more complex objects.

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Characteristic Mode Formulation for Dielectric Coated Conducting Bodies

Cited by 38 publications

References 30 publications

Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Alternative Surface Integral Equation-Based Characteristic Mode Formulations for Composite Metallic-Dielectric Objects

Unified Implementation and Cross-Validation of the Integral Equation-Based Formulations for the Characteristic Modes of Dielectric Bodies

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