Computation of fields in an arbitrary shaped heterogeneous dielectric or biological body by an iterative conjugate gradient method

Wang, J.J.H.; Dubberley, John

doi:10.1109/22.24557

Cited by 24 publications

(6 citation statements)

References 13 publications

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“…Since cube is a three-dimensional object with sharp corners, using the Volume Integral Method (VIM) with the volume discritized using cubical cells is said to be advantageous to use [11] even though it is computationally more intensive and time consuming compared to the surface integral equation. In spite of its complexity, it has been extensively used in the literature to analyze scattering from arbitrary shaped inhomogeneous objects [10]- [12].…”

Section: Volume Integral Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Polarizability analysis of cubical and square-shaped dielectric scatterers

Avelin¹,

Sharma²,

Hänninen³

et al. 2001

IEEE Trans. Antennas Propagat.

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The polarizability characteristics of nonspherical scatterers, especially cubes and squares, are studied in this paper. A surface integral equation for the electrostatic potential has been numerically solved for a cube and a square-shaped object. Nonuniform gridding of the dielectric object has been used to get a good accuracy in the solution. The results obtained for the polarizability of cubes using the surface integral equation are compared with those obtained from the volume integral equation and show a good agreement. We give simple approximation formulas for the polarizabilities as functions of the permittivity of the inclusions. The results give an improvement compared to earlier literature and also present a way to predict the effective properties of mixtures where cube-shaped inclusions are embedded in dielectric environment, which type of mixtures strongly generalize the effective-medium theories of the present literature.

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Section: Volume Integral Methodsmentioning

confidence: 99%

“…If the object is an infinite dielectric rod, a two-dimensional integral equation can be used, similar to (7) (see [8]): on (12) where is the contour enclosing the surface. The two-dimensional counterpart to a cube is a square.…”

Section: Integral Equation Formulation For the Potential Problemmentioning

confidence: 99%

Polarizability analysis of cubical and square-shaped dielectric scatterers

Avelin¹,

Sharma²,

Hänninen³

et al. 2001

IEEE Trans. Antennas Propagat.

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“…Although the application is direct, however, when the dimension of the object is large relative to the wavelength in operation, enormous computational resources are required. This is overcome here by using a restart conjugate gradient method for the numerical solutions [8][9][10]. Some numerical simulation are demonstrated and the comparison with other solutions is presented.…”

Section: Introductionmentioning

confidence: 99%

“…The method of moment (MoM) is a direct boundary integral equation method, suitable for the analysis of electromagnetic scattering and diffraction problems [6][7][8][9][10], while the physical optics (PO) provides a short-wavelength assumption, in which only the illuminated parts of an object are taken into calculation. The MoM reduces the integral equation to a set of linear algebraic equations.…”

Section: Introductionmentioning

confidence: 99%

Modelling of a circular Fresnel zone plate lens for electromagnetic wave antenna application

Kim

Kagawa

Chai

2005

Int. J. Numer. Model.

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SUMMARYThe application of Fresnel lenses is often made to the receiving antennas for television and radio by way of the satellite communication, for the astronomical observation and so on. Their advantage lies in structural simplicity and low cost. A typical Fresnel zone plate lens (FZPL) consists of coaxial conductive ring bands separately placed over the surface of a dielectric plate. For the antenna application a receiving horn is provided at the focal point. In our previous work, the experiment was carried out for this arrangement, where the horn aperture is larger than the wavelength. Comparison was made with the solution of the Kirchhoff's scalar formula with reasonable agreement (Trans EIC Japan 1998; J-81-B-II(8):823-828; Trans EIC Japan 1996; J-79-B-II(11):959-963). The present work is to validate the numerical treatment. The method of moment and the theory of the physical optics are here considered with three-dimensional vectorial formulation. The focal characteristic is obtained not only for the normal incidence but also for the slightly oblique incidence.

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“…In the case of the PCMM using the subdomain method of moments including the S-PCMM, simultaneous equations with 3P unknowns must be solved if the polarization current density is expanded into P. If the Gaussian elimination method or Krawt method is used for the solution of the simultaneous equations, the computation time required is proportional to P 3 [16]. In order to reduce the computation time, a method using the iterative conjugate gradient method has been proposed [7,8]. On the other hand, a method has been proposed in which the polarization current density is expressed in terms of higher-order polynomials within the hexagonal body [9].…”

Section: Introductionmentioning

confidence: 99%

Modal polarization current model method and its application to scattering by dielectric bodies

Inoue

Inagaki

Kikuma

2003

Electron. Comm. Jpn. Pt. I

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SUMMARYThe polarization current model method (PCMM), one of the volume integral equation methods, is used for the analysis of antennas involving dielectric materials and of electromagnetic scattering by dielectric bodies. In the conventional PCMM, the subdomain method of moments is often used. Since the number of unknowns needed is proportional to the number of segmentations of the dielectric body, the computation time is long. In this paper, the M-PCMM method is proposed in which the polarization current density is mode-expanded in common spherical wave functions in the dielectric body, and its coefficients are used as the unknowns. The number of unknowns is unrelated to the number of segmentations of the dielectric body and is of the same order as that in the modal expansion method. Hence, the computation time can be reduced. In order to study the validity of this method, scattering by a cubic dielectric body is carried out. The analysis results of the M-PCMM are compared with those of the conventional PCMM. The results of the scattering directivity and the internal electromagnetic fields obtained by the two methods are in agreement, while the M-PCMM is found to reduce the computation time substantially.

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Computation of fields in an arbitrary shaped heterogeneous dielectric or biological body by an iterative conjugate gradient method

Cited by 24 publications

References 13 publications

Polarizability analysis of cubical and square-shaped dielectric scatterers

Polarizability analysis of cubical and square-shaped dielectric scatterers

Modelling of a circular Fresnel zone plate lens for electromagnetic wave antenna application

Modal polarization current model method and its application to scattering by dielectric bodies

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