Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model

Leviatan, Y.; Boag, A.

doi:10.1109/tap.1987.1143994

Cited by 156 publications

(85 citation statements)

References 11 publications

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“…It is based on the principle of imposing the boundary conditions only on a finite number of discrete points of the physical boundaries [19], called collocation points. The fields in each area satisfy the Helmhotz equation as they are weighted sums of the local Green's functions corresponding to singular elementary sources (auxiliary sources) posed on a set of points.…”

Section: Auxiliary Sources and Far Fieldmentioning

confidence: 99%

Effect of Cylindrical Scatterer With Arbitrary Curvature on the Features of a Metamaterial Slab Antenna

Valagiannopoulos

2007

PIER

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Abstract-The metamaterial slab with low refractive index exhibits directive properties which make it suitable to work as antenna.The characteristics of such a device are affected under the presence of a conducting rod of arbitrary shape placed over the slab. A qualitative and quantitative approach is presented which is possible by implementing the method of auxiliary sources. For the evaluation of the far field quantities the method of stationary phase is employed. A validation example considering a circular rod is solved rigorously with use of the method of moments. Several numerical results are shown and discussed.

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Section: Auxiliary Sources and Far Fieldmentioning

confidence: 99%

Effect of Cylindrical Scatterer With Arbitrary Curvature on the Features of a Metamaterial Slab Antenna

Valagiannopoulos

2007

PIER

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“…Simulations were performed for a PC mounted on various PR flexures. We used a 2D numerical code based on the Multifilament Current model [21] to compute the full solution of the propagation/scattering problem, and then to find the energy distribution and light intensity exiting the PC for different wavelengths. The Multifilament Current model is suited for numerical simulation of problems associated with resonating elements under time-harmonic excitation with high accuracy and simplicity.…”

Section: Model and Simulationsmentioning

confidence: 99%

Mechanical tuning of two-dimensional photonic crystal cavity by micro Electro mechanical flexures

Levy

Steinberg

Boag

et al. 2007

Sensors and Actuators A: Physical

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A nano-displacement sensing method for micro-opto-electro-mechanical-systems (MOEMS) is proposed. The method is based on a square lattice photonic crystal (PC) made of dielectric silicon posts, mounted on a micro mechanical flexure. The flexure is fixed at one end and is free to move at the other, to enable elastic deformations that, by being transferred to the photonic crystal array, modify its periodicity and the pertinent transmission characteristics. A missing-post defect is deliberately introduced in the photonic crystal, opening a narrow pass band within the band gap. The pass band wavelength is sensitive to dilatation of the micro mechanical flexure. The flexure Poisson ratio (PR) can be designed according to specific requirements to gain desired sensitivity. Simulations show high sensitivity of 12.3 nm band pass shift for every 1% flexure strain for flexure of a material with a Poisson ratio of −1. An inverted honeycomb based micro-electro-mechanical-systems (MEMS) flexure, with a Poisson ratio of −1, was fabricated in silicon and characterized.

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“…The early development and application of the generalized multipole technique (which was also called fictitious current method) were contributed by Hafner [14], Leviatan [15] and his colleagues [16,17]. Recently, the generalized multipole technique was extended to deal with the scattering by underground scatterers [18], the scattering by conducting bodies of revolution [19], and the scattering by chiral and anisotropic cylinders [7,20].…”

Section: Introductionmentioning

confidence: 99%

Scattering by a Gyrotropic Bianisotropic Cylinder of Arbitrary Cross Section: An Analysis Using Generalized Multipole Technique

Zhang¹,

Li²,

Yeo³

et al. 2003

PIER

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Abstract-The electromagnetic scattering by a homogeneous gyrotropic bianisotropic cylinder of arbitrary cross section is analyzed in this paper using the generalized multipole technique (GMT) where only the longitudinal fictitious electric and magnetic currents are involved. The general scattering solution is formulated and numerical results of near fields and bistatic radar cross sections are presented for four specific examples, namely, a chiral circular cylinder, a chiral square cylinder, a gyrotropic bianisotropic circular cylinder, and a gyrotropic bianisotropic "lens" cylinder. Results obtained using the GMT for the chiral and the gyrotropic bianisotropic circular cylinders are in excellent agreement with those obtained from the eigen-function expansion. Results of the GMT for the chiral square cylinder are in excellent agreement with those obtained from the method of moments (MoM) solution.

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Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model

Abstract: A moment solution is presented for the problem of transverse magnetic 0 scattering from homogeneous dielectric cylinders.

Cited by 156 publications

References 11 publications

Effect of Cylindrical Scatterer With Arbitrary Curvature on the Features of a Metamaterial Slab Antenna

Effect of Cylindrical Scatterer With Arbitrary Curvature on the Features of a Metamaterial Slab Antenna

Mechanical tuning of two-dimensional photonic crystal cavity by micro Electro mechanical flexures

Scattering by a Gyrotropic Bianisotropic Cylinder of Arbitrary Cross Section: An Analysis Using Generalized Multipole Technique

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