Integral Equation Based Analysis of Scattering From 3-D Inhomogeneous Anisotropic Bodies

Kobidze, G.; Shanker, B.

doi:10.1109/tap.2004.834439

Cited by 58 publications

(38 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In this section, the coupled volume-surface integral equation (VSIE) [4,17,18] is presented to calculate the electromagnetic scattering from composite conducting-dielectric arrays. Let S denote all the conducting surfaces and V denote the dielectric volumes, the boundary conditions of the VSIE can be expressed as [18] …”

Section: Basic Principle Of Vsiementioning

confidence: 99%

See 1 more Smart Citation

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Zhang¹,

Chen²,

Chao³

et al. 2016

PIER M

View full text Add to dashboard Cite

Abstract-In this paper, the Sherman-Morrison-Woodbury (SMW) Formula-based algorithm (SMWA) is used to enable the fast direct solution of conducting-dielectric arrays. To speed up the direct solution of the matrix equation, the dense impedance matrix is transformed into a product of several block diagonal matrices via the SMW formula. In the grouping process, the situation that the elements of an array simultaneously belong to two different subgroups at peer level is avoided in order to promote the efficiency. The SMWA conducts the calculation with a respectable reduction in the computational time as well as memory.

show abstract

Section: Basic Principle Of Vsiementioning

confidence: 99%

“…The contrast ratioκ(r) is defined asκ(r) =Ī −ε r −1 (r) [17], in whichε r (r) is the relative permittivity tensor of the electric anisotropic media, andĪ is the unit tensor.κ vn is the contrast ratio in the n-th SWG basis function. I sn and I vn are the unknown coefficients.…”

Section: Basic Principle Of Vsiementioning

confidence: 99%

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Zhang¹,

Chen²,

Chao³

et al. 2016

PIER M

View full text Add to dashboard Cite

show abstract

“…While SIE method has limitations of modeling anisotropic materials and arbitrarily inhomogeneous structures. The other is the volume integral equation (VIE)-based method, [8,[14][15][16][17][18][19][20][21][22][23][24], which can solve the scattering problems from highly inhomogeneous scatterers. Compared to finite difference method and finite element method, VIE methods lead to good-conditioned matrix equation and make the iterative solver to converge fast to the solutions.…”

Section: Le Sunmentioning

confidence: 99%

Electromagnetic modeling of inhomogeneous and anisotropic structures by volume integral equation methods

Sun

2015

Waves in Random and Complex Media

View full text Add to dashboard Cite

Given the application of inhomogeneous and anisotropic structures in different application areas, it is of critical importance to develop accurate and efficient modeling methods. Among various methods, volume integral equations (VIEs) using moment method are efficient solutions for electromagnetic modeling of inhomogeneous and anisotropic structures. In this paper, we investigate the solutions of the VIE method and augmented volume integral equation (A-VIE) method for solving inhomogeneous and anisotropic structures with arbitrary shapes. The moment method solutions are presented and curl-conforming bases are used to discretize the electric and magnetic field distributions inside the structures. When the structures contain inhomogeneous magnetic materials, A-VIE method is applied. Various numerical examples are shown to demonstrate the accuracy and efficiency of the algorithms.

show abstract

“…It should be noted that MoM is usually implemented together with other integral methods, e.g., MoM-VIE (volume integral equation) [72], MoM-CG-FFT [73,74], MoM-FMM (fast multipole method) [75], and MoM-VSIE (volume-surface integral equation) [76]. That is because the electric and magnetic integral equations (13) and (14) cannot be solved analytically for anisotropic scatterers in noncanonical shape via the vector potential formulation.…”

Section: Cartesian Anisotropy Of Spheresmentioning

confidence: 99%

Light scattering from anisotropic particles: propagation, localization, and nonlinearity

Qiu

Gao

Joannopoulos

et al. 2010

Laser & Photonics Reviews

View full text Add to dashboard Cite

Plasmon resonances and extraordinary light scatterings of a nanoparticle with radial anisotropy are studied and summarized. The coupling between localized surface plasmons and far-field quantities is discussed. It is found that the presence of radial anisotropy redistributes the localization of plasmons and also results in certain novel phenomena in the far zone, which provide the possibility of scattering control such as electromagnetic transparency, enhanced scattering cross section, etc. The nonlinear optical response is explored in order to yield deeper physical insight into the interaction between plasmons and incident light.Nondissipative damping in the dipolar mode in a radial anisotropic sphere when the transversal permittivity t = 2:1 is near the surface plasmon resonance with positive r (Ae < 0) at different scales.

show abstract

Integral Equation Based Analysis of Scattering From 3-D Inhomogeneous Anisotropic Bodies

Cited by 58 publications

References 42 publications

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Electromagnetic modeling of inhomogeneous and anisotropic structures by volume integral equation methods

Light scattering from anisotropic particles: propagation, localization, and nonlinearity

Contact Info

Product

Resources

About