Surface Integral Equation-Based Characteristic Mode Formulation for Penetrable Bodies

Ylä‐Oijala, Pasi; Wallén, Henrik; Tzarouchis, Dimitrios C.; Sihvola, Ari

doi:10.1109/tap.2018.2835313

Cited by 45 publications

(78 citation statements)

References 24 publications

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“…As pointed out in Guo et al, 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 for IBC, formulations proposed in Ylä‐Oijala et al lead to complex eigenvalues if the structure is lossy. It was also argued that the real part of an eigenvalue gives the ratio of reactive power and radiated power and the imaginary part gives the ratio of dissipated power and radiated power.…”

Section: Introductionmentioning

confidence: 89%

“…Hence, eg, for a PEC sphere, these two expressions agree. Expressions and are valid also for spheres with IBC, material spheres (both dielectric, magnetic, and dielectric‐magnetic), and for layered and coated spheres …”

Section: Characteristic Modesmentioning

confidence: 99%

“…We begin with the generalized IBC J‐formulation (JGIBC) for homogeneous material bodies, given as

((), η_{1} γ_{t} T_{1} + γ_{t} K_{1}^{+} P_{2}) false[boldJ false] = - γ_{t} E^{inc},

with

P_{2} = - η_{2} {false(γ_{t} T_{2} false)}^{- 1} {scriptK}_{2}^{-} .

…”

Section: Sio Formulations For Lossy Dielectric Bodiesmentioning

confidence: 99%

“…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. As pointed out in Guo et al, 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%

“…15 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 [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.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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.

show abstract

Section: Introductionmentioning

confidence: 89%

Section: Characteristic Modesmentioning

confidence: 99%

“…We begin with the generalized IBC J‐formulation (JGIBC) for homogeneous material bodies, given as

((), η_{1} γ_{t} T_{1} + γ_{t} K_{1}^{+} P_{2}) false[boldJ false] = - γ_{t} E^{inc},

with

P_{2} = - η_{2} {false(γ_{t} T_{2} false)}^{- 1} {scriptK}_{2}^{-} .

…”

Section: Sio Formulations For Lossy Dielectric Bodiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Analytical study of Fano phenomenon in plasmonic hexamer and heptamer using characteristic mode theory

Gholami

Ahmadi‐Shokouh

Dashti

2021

Optik

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Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation

Jia

Ding

et al. 2022

Chinese J of Electronics

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When the dielectric sheet is electrically thin in the normal direction, the conventional volume integral equation (VIE) can be approximately simplified to the surface one. On this basis, a novel surface integral equation-based formulation is presented for analyzing characteristic mode (CM) of thin dielectric sheets. The resultant CMs are expressed with tangential and normal components of electric volume currents, which are more intuitive than the conventional VIE-based one. Due to the application of volume equivalence principle, the proposed formulation is immune to non-physical modes. The CMs of typical thin dielectric bodies, including the dielectric substrate and radome, are analyzed to show that the proposed formulation is computationally efficient with encouraging accuracy.

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Surface Integral Equation-Based Characteristic Mode Formulation for Penetrable Bodies

Cited by 45 publications

References 24 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

Analytical study of Fano phenomenon in plasmonic hexamer and heptamer using characteristic mode theory

Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation

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