Analysis of electromagnetic scattering by a plasma anisotropic sphere

[1] An analytical solution of electromagnetic fields in homogeneous plasma anisotropic media is obtained in this paper. In the source-free plasma anisotropic media, the source-free Maxwell's equations are utilized, where the expansion of plane wave factors is made in terms of the spherical vector wave functions in isotropic media, and the Fourier transformation is then applied. As a result, the field expressions represented using eigenfunctions are obtained in spectral domain. Applying boundary conditions on the spherical interface between air and plasma anisotropy, the electromagnetic fields of the plane wave scattered by a plasma anisotropic sphere are derived. Numerical results for the very general plasma dielectric material media are obtained, and those in a special case are compared between the present method and the Method of Moments (MoM) speeded up with the Conjugate-Gradient Fast-Fourier-Transform (CG-FFT) approach. The formulations in this paper can be generalized to those of more complex cases, such as layered plasma anisotropic sphere, plasma sheath, as well as plasma anisotropic material coated conducting sphere.

[1]  Vijay K. Varadan,et al.  Scattering by three-dimensional anisotropic scatterers , 1989 .

[2]  Three-dimensional scattering by an infinite homogeneous anisotropic circular cylinder: An analytical solution , 1997 .

[3]  Allen Taflove,et al.  Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of electromagnetic wave interactions with arbitrary structures , 1988 .

[4]  R. Zich,et al.  Moment method with isoparametric elements for three-dimensional anisotropic scatterers , 1989, Proc. IEEE.

[5]  T. Sarkar,et al.  Comments on "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies" , 1986 .

[6]  Nikolaos K. Uzunoglu,et al.  Scattering of a plane wave by a general anisotropic dielectric ellipsoid , 1990 .

[7]  Melville Clark,et al.  Plasmas and Controlled Fusion , 1961 .

[8]  Jin Au Kong,et al.  Theory of electromagnetic waves , 1975 .

[9]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[10]  Jian-Ming Jin,et al.  Computation of special functions , 1996 .

[11]  ANALYSIS OF ELECTROMAGNETIC SCATTERING BY ARBITRARILY SHAPED TWO-DIMENSIONAL ANISOTROPIC OBJECTS: COMBINED FIELD SURFACE INTEGRAL EQUATION FORMULATION , 1989 .

[12]  W. Ren,et al.  Contributions to the electromagnetic wave theory of bounded homogeneous anisotropic media. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  W. Chew.  Waves and Fields in Inhomogeneous Media , 1990 .

[14]  H. V. Hulst.  Light Scattering by Small Particles , 1957 .

[15]  P. Uslenghi,et al.  Electromagnetic scattering from anisotropic materials, part I: General theory , 1984 .

[16]  Naomi J. Halas,et al.  GENERAL VECTOR BASIS FUNCTION SOLUTION OF MAXWELL'S EQUATIONS , 1997 .

[17]  J. Wait.  Some boundary value problems involving plasma media , 1961 .