Three-dimensional scattering by an infinite homogeneous anisotropic circular cylinder: An analytical solution

Abstract

Closed form expressions for the electromagnetic fields in homogeneous anisotropic media are derived in terms of the circular cylindrical vector wave functions for isotropic media. An analytical solution is obtained for the problem of scattering by an infinite homogeneous anisotropic circular cylinder for an obliquely incident plane wave of an arbitrary linear polarization. Numerical implementation and convergence behavior of this solution is discussed. Numerical results for some special cases are compared with existing data. We also present numerical results for the more general anisotropic material case in both graphical and tabular forms. The formulation of this article can be easily generalized to the cases of more complex cases, such as other complex media cases whose eigenwave numbers and eigenwave vectors can be determined, layered structures cases, and multiscatterers cases.

Exact Solution to Electromagnetic Scattering by an Impedance Sphere Coated With a Uniaxial Anisotropic Layer

“…In the following analysis, the time dependence of exp(0i!t) is assumed, but suppressed throughout the paper. The vector wave equation for the electric field in a source-free uniaxial anisotropic medium can be written in the following form [10] E E E denotes the electric field, while and represent the permittivity tensor and the permeability tensor of the uniaxial anisotropic medium, respectively. They are defined in Cartesian coordinates as …”

“…Some works have been developed for scattering by two-dimensional anisotropic medium [9], [10] based on integrodifferential equations. Furthermore, the scatterings by three-dimensional anisotropic medium were studied based on the coupled-dipole approximation method [11], hybrid vector finite element method and multilevel fast multipole algorithm [12], the method of finite-difference frequency-domain [13] and mode expansion [14], [15].…”

Characterization of electromagnetic scattering by a plasma anisotropic spherical shell

“…The electric field vector wave equation in such a source-free plasma anisotropic spherical shell can be written in the following form [7], [11]- [13]: (1) where denotes the electric field, while represents the freespace permeability and identifies the permittivity tensor, each 1536-1225/04$20.00 © 2004 IEEE of the plasma anisotropic medium. If an external constant magnetic filed is applied in the -direction, the permittivity tensor takes the form [1]- [5], [13] of (2) Using Fourier transform [7], [11]- [13], the expansion of plane wave factors in terms of spherical vector wave functions in isotropic medium, and the properties of spherical Bessel functions, the electromagnetic fields (designated by the subscript ) in the plasma anisotropic spherical shell can be obtained [13] as follows:…”

“…In recent years, there has been a growing interest in interaction between electromagnetic fields and anisotropic media, mainly due to its many applications in the fields of antennas and microwave devices, etc. As this is an interesting subject of many potential applications, there have naturally been some existing works, for instance, the analysis of two-dimensional geometries [6], [7] and three-dimensional geometries [8]- [15]. On the basis of electromagnetic fields in plasma anisotropic medium using spherical vector wave functions [13], electromagnetic fields in plasma anisotropic spherical shell are formulated and numerically studied in this paper.…”

Study of an Electrically Anisotropic Cylinder Excited Magnetically by a Straight Strip Line

“…Specific analyses concerning excitation of guided modes along the gyroelectric guide and radiation of dipoles in the proximity of the scatterer are provided. In [16], the solutions of the source-free Maxwell's equations in anisotropic media have been developed in terms of the cylindrical wave functions for isotropic media. Finally, Monzon [17] elaborates the same problem with help of two coupled integral equations with nonsingular kernels and easily obtained solutions.…”