Asymptotic Analysis of a Line Source Diffraction by a Perfectly Conducting Half-Plane in a Bi-Isotropic Medium (original) (raw)
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We studied the problem of diffraction of an electromagnetic plane wave by a perfectly conducting finite strip in a homogeneous bi-isotropic medium and obtained some improved results which were presented both mathematically and graphically. The problem was solved by using the Wiener-Hopf technique and Fourier transform. The scattered field in the far zone was determined by the method of steepest decent. The significance of present analysis was that it recovered the results when a strip was widened into a half plane.
In this study, the problem of wave scattering of an electromagnetic field in a homogeneous bi-isotropic medium by a perfectly conducting strip is theoretically analyzed. The crux of the study is a rigorous construction of a closed form solution in the complex domain. A series solution of electromagnetic plane wave diffraction problem in terms of the eigenfunctions that happen to be the generalized Gamma functions is found. In the transformed domain, the scattered field is physically interpreted by computing the convergence history, and thereby, higher order accurate solution has been obtained in complex domain in closed form.
International Journal of Engineering Science, 1998
AbstractÐThe diraction of an electromagnetic spherical wave (emanating from a point source) by a perfectly conducting strip in a biisotropic medium is investigated. This consideration is important because the point source is regarded as a fundamental radiating device. The vector diraction problem is reduced to the scattering of a single scalar ®eld, this scalar ®eld being the normal component of either a left-handed or a right-handed Beltrami ®eld. The diraction problem of the left-handed ®eld component is explicitly analyzed, that of the right-handed ®eld component being analogously tractable. The problem is solved using the Wiener±Hopf technique and asymptotic methods. The diracted ®eld is shown to be sum of ®elds produced by the two edges of the strip and an interaction ®eld. Finally, physical interpretation of the result is discussed. #
International Journal of Infrared and Millimeter Waves
The spherical wave scattering response by a perfectly conducting open–ended waveguide in a biisotropic medium is obtained. Interestingly, the vector diffraction problem is reduced to the scattering of a single scalar field, this scalar field being the normal component of either a left–handed or a right–handed Beltrami field. Here, we explicitly consider the scattering of the left–handed field component, that of the other scalar field being analogously tractable. The solution is constructed with the aid of the Wiener–Hopf technique.
Diffraction by an imperfect half plane in a bianisotropic medium
Radio Science, 2007
A general theory to study the electromagnetic diffraction by imperfect half planes immersed in linear homogeneous bianisotropic media is presented. The problem is formulated in terms of Wiener-Hopf equations by deriving explicit spectral domain expressions for the characteristic impedances of bianisotropic media, which allow one to exploit their analytical properties. In the simpler case of perfect electric conducting and perfect magnetic conducting half planes, the Wiener-Hopf equations involve matrices of order 2, which can be factorized in closed form if the constitutive tensors of the bianisotropic material are of special form. Four of these special cases are discussed in detail. In order to deal with the more general problem, a technique to numerically factorize the Wiener-Hopf matrix kernels is presented. Our numerical approach is discussed on one example, by considering the previously unsolved problem of a perfect electric conducting half plane in a gyrotropic medium. The reported numerical results show that the diffracted field contribution is obtained by use of the saddle point integration method.
Point-Source Diffraction by an Absorbing Half-Plane
The diffraction of an acoustic wave by a semi-infinite absorbing plane in the presence of a moving fluid due to a point source is considered. The far field is calculated using asymptotic methods and integral transforms.
Diffraction by two parallel half-planes in a bianisotropic medium
2008
A general theory to study the electromagnetic diffraction by two parallel perfect electric conducting halfplanes immersed in a linear homogeneous bianisotropic medium is presented. The problem is formulated in terms of Wiener-Hopf equations that, in general, involve matrices of order four. In the simpler case of materials with constitutive tensors of special form, the Wiener-Hopf matrices reduce to order two and, for these special cases, the possibility to solve the factorization problem in closed form is discussed.