Finite-element computation of scattering by inhomogeneous penetrable bodies of revolution

Morgan, Michael A.; Mei, K.K.

doi:10.1109/tap.1979.1142065

Cited by 145 publications

(45 citation statements)

References 20 publications

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“…As is detailed more completely in a previous paper [20], the finite element method proceeds by expanding the coupled azimuthal potentials in terms of piecewise linear basis functions The variational criterion is satisfied by substituting (6) into (5), then differentiating the resulting quadratic form with respect to each of the unknown "coordinates" en and hn in the 2N-dimensional subspace of continuous functions C', as spanned by (6). These numerical first variations are set to zero, thus forming a linear matrix system whose inversion solves the interior Dirichlet problem in terms of the nodal values of en and hn which are specified on the boundary of S.…”

Section: Finite Element Methodsmentioning

confidence: 94%

Finite Element Calculation of Microwave Absorption by the Cranial Structure

Morgan

1981

Electromagnetics

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Abstract-Using an axisymmetric inhomogeneous lossy dielectric model of the human cranial structure, calculations yielding interiorabsorbed power density spatial distributions and whole-body cross sections are presented. These computations are preformed by way of a finite element implementation of the coupled azimuthal potential formulation. Results are considered for two angles of plane wave incidence, with two orthogonal polarizations, at the frequencies of 1 and 3 GHz. model. Attention is given to the sensitivity of "hot spot" intensities to incident field orientations and model parameter uncertainties.

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Section: Finite Element Methodsmentioning

confidence: 94%

Finite Element Calculation of Microwave Absorption by the Cranial Structure

Morgan

1981

Electromagnetics

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“…The CAP formulation is a solution of Maxwell's equations originally implemented in conjunction with the unimoment method to solve scattering problems for axisymmetric inhomogeneous objects, [1]. The geometry employed in describing the CAP formulation is illustrated in Fig.…”

Section: Finite Element Basis Function Generationmentioning

confidence: 99%

“…The details of the finite element solution. which has been used in conjunction with the unimoment method for scattering calculations, are given in [ 1]. Many of the same computer algorithms employed in this previous effort were adopted for the work being described here .…”

Section: (R Z )mentioning

confidence: 99%

“…3 where the outer geometric surface, S o, conforms to the contour of the scatterer being considered. Generation of this mesh proceeds in azimuthal steps, incrementing in (J from the positive z-axis, In parallel with this sequential construction of the mesh is .the computation of the block matrices of the system finite element matrix and the block-byblock inversion of this matrix via the Riccati transform technique as described in [1].…”

Section: Numerical Computationsmentioning

confidence: 99%

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Finite element-boundary integral formulation for electromagnetic scattering

et al. 1984

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“…2,3 To retrieve the macro-and micro-physical properties of clouds from echo information of millimeter-wavelength radar, the interaction between the electromagnetic wave and ice particle must be understood; this is typically computed using electromagnetic scattering theory. There are a variety of numerical algorithms to calculate the scattering properties of non-spherical particles: for example, T-matrix, 4 the finite-difference time domain, 5 the discrete dipole approximation, 6 finite element methods, 7 and the method of moments. 8 However, using these methods, it is not possible to determine the scattering properties of irregular-shaped particles, which can not be described by mathematical language.…”

Section: Introductionmentioning

confidence: 99%

Radar cross-section measurements of ice particles using vector network analyzer

Wang

Zhang

et al. 2016

AIP Advances

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We carried out radar cross-section (RSC) measurements of ice particles in a microwave anechoic chamber at Nanjing University of Information Science and Technology. We used microwave similarity theory to enlarge the size of particle from the micrometer to millimeter scale and to reduce the testing frequency from 94 GHz to 10 GHz. The microwave similarity theory was validated using the method of moments for single metal sphere, single dielectric sphere, and spherical and non-spherical dielectric particle swarms. The differences between the retrieved and theoretical results at 94 GHz were 0.016117%, 0.0023029%, 0.027627%, and 0.0046053%, respectively. We proposed a device that can measure the RCS of ice particles in the chamber based on the S21 parameter obtained from vector network analyzer. On the basis of the measured S21 parameter of the calibration material (metal plates) and their corresponding theoretical RCS values, the RCS values of a spherical Teflon particle swarm and cuboid candle particle swarm was retrieved at 10 GHz. In this case, the differences between the retrieved and theoretical results were 12.72% and 24.49% for the Teflon particle swarm and cuboid candle swarm, respectively.

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Finite-element computation of scattering by inhomogeneous penetrable bodies of revolution

Cited by 145 publications

References 20 publications

Finite Element Calculation of Microwave Absorption by the Cranial Structure

Finite Element Calculation of Microwave Absorption by the Cranial Structure

Finite element-boundary integral formulation for electromagnetic scattering

Radar cross-section measurements of ice particles using vector network analyzer

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