Scattering by an Arbitrarily Shaped Rotationally Uniaxial Anisotropic Object: Electromagnetic Fields and Dyadic Green's Fucntions

Abstract

Abstract-The electromagnetic scattering by a three-dimensional arbitrarily shaped rotationally uniaxial anisotropic object is studied. Electromagnetic fields in a uniaxial medium are solved for first using the method of separation of variables, and then expressed in a very compact form by introducing the modified spherical vector wave functions. The equivalence theorem and the T-matrix method are applied in the analysis of the scattering problem. The scattered fields and the dyadic Green's functions both external and internal to the scatterer are derived in terms of spherical vector wave functions and matrix-form coefficients. Through making use of the dyadic Green's functions obtained, numerical results are provided for an incident field excited by an infinitesimal dipole. The scatterers are assumed to be prolate and oblate dielectric spheroids with the rotational z-axis. The angular scattering intensities in far-zone are plotted for all these cases. And some conclusions are also drawn eventually from numerical discussions.

Focusing of Electromagnetic Plane Wave Into Uniaxial Crystal by a Three Dimensional Plano Convex Lens

“…This method has been successfully applied to predict the field in the focal region of parabolic reflector, phase transformer, cylindrical reflector, spherical reflector antenna, dielectric spherical lens, spherical dielectric interface, plano-convex antenna, Cassegrain system, Gregorian system, Wood lens, inhomogeneous slab, cylindrical reflector placed in chiral medium, cylindrical reflector coated with chiral layer, a PEMC reflector and a hyperbolic lens by different researchers who worked with Hongo and/or Naqvi [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Study fields in uniaxial, anisotropic and bi-anisotropic material has been discussed by various authors [31][32][33][34][35][36][37][38][39][40][41].…”