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Incident Plane Wave (incident + plane_wave)

Distribution by Scientific Domains
Mathematics and Statistics40%

Selected Abstracts

Integral equation methods for scattering by infinite rough surfaces

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 6 2003
Bo Zhang
Abstract In this paper, we consider the Dirichlet and impedance boundary value problems for the Helmholtz equation in a non-locally perturbed half-plane. These boundary value problems arise in a study of time-harmonic acoustic scattering of an incident field by a sound-soft, infinite rough surface where the total field vanishes (the Dirichlet problem) or by an infinite, impedance rough surface where the total field satisfies a homogeneous impedance condition (the impedance problem). We propose a new boundary integral equation formulation for the Dirichlet problem, utilizing a combined double- and single-layer potential and a Dirichlet half-plane Green's function. For the impedance problem we propose two boundary integral equation formulations, both using a half-plane impedance Green's function, the first derived from Green's representation theorem, and the second arising from seeking the solution as a single-layer potential. We show that all the integral equations proposed are uniquely solvable in the space of bounded and continuous functions for all wavenumbers. As an important corollary we prove that, for a variety of incident fields including an incident plane wave, the impedance boundary value problem for the scattered field has a unique solution under certain constraints on the boundary impedance. Copyright © 2003 John Wiley & Sons, Ltd. [source]

On interaction of electromagnetic waves with infinite bianisotropic layered slab

MATHEMATISCHE NACHRICHTEN, Issue 9-10 2007
Tengiz Buchukuri
Abstract A stratified general bianisotropic medium is considered, consisting of several infinite slabs either between two half-spaces filled with isotropic material, or grounded. The slab is illuminated by an incident plane wave from one of the half-spaces. The excited electromagnetic field inside the bianisotropic slab and in the isotropic domains is described. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Effective dielectric constant and design of sliced Lüneberg lens

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, Issue 10 2007
Georgios Zouganelis
Abstract In this article, a design of Lüneberg lens with slices made from low loss dielectric material with hemispherical air-holes drilled appropriately on the top and bottom surface of each of them is presented. A formula to estimate the values of radial dependent effective dielectric constant of air-holes dielectric composite material is suggested. The estimated values are compared with the ones calculated from finite difference time domain method electromagnetic simulations of a periodic lattice of spherical and cylindrical air-holes embedded in a dielectric slab using Nicolson,Ross method. Calculation of S-parameters and near field of lens with hemispherical air-holes under an incident plane wave, using estimated effective constants by the suggested formula are compared with ones using precise theoretical values of dielectric constants. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2332,2337, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22751 [source]

Polarization-dependent electromagnetic band gap (PDEBG) structures: Designs and applications

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, Issue 6 2004
Fan Yang
Abstract EBG structures exhibit an in-phase reflection coefficient, which makes them desirable for low-profile antenna designs. However, a conventional EBG structure has an identical reflection phase for a normally incident plane wave in spite of its polarization state. This paper presents novel polarization-dependent EBG (PDEBG) structures whose reflection phases are different, depending upon the polarization state of the incident plane wave. This polarization-dependent reflection-phase feature is realized by changing the unit geometries, for example, by using a rectangular patch to replace the square patch, by cutting slots into the patch, or by offsetting the vias. By properly tailoring the phase difference between different polarizations, a useful EBG reflector is introduced, which can control the polarization state of the reflected wave. One attractive application of this reflector is that the reflected wave of a circularly polarized incident plane wave can maintain its polarization sense. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 41: 439,444, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20164 [source]

Parametric study and synthesis of 60-GHz Fabry,Perot resonators

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, Issue 4 2002
R. Sauleau
Abstract The analysis and the synthesis of plane-parallel Fabry,Perot (FP) resonators, illuminated by a normally incident plane wave, are investigated theoretically and experimentally in the 60-GHz band. The reflecting mirrors are inductive metal meshes with square apertures. The frequency response of symmetrical and asymmetric FP cavities is studied (a) approximately with the transmission-line theory (TL), and (b) and rigorously with the Finite-difference,time-domain (FDTD) technique combined with periodic boundary conditions. Then, the inverse problem is solved with the use of an iterative procedure based on the FDTD method. In particular, it is shown theoretically and checked experimentally that the thickness of the cavity is the most critical parameter in the design, although the grid dimensions enable a precise adjustment of the module and of the phase of the internal reflection coefficients. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 34: 247,252, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10429 [source]