双各向同性介质中并矢格林函数的本征展开法和应用

首先引入了柱坐标系中的广义矢量波函｛Ｖ（ｈ），Ｗ（ｈ）｝，分别导出了圆柱和椭圆柱坐标系中双各向同性介质的并矢格林函数本征展开式．应用散射叠加法，给出了含源双各向同性介质圆柱位于另一种双各向同性介质中的并矢格林函数．由于互易手征介质和一般介质均为双各向同性介质的特殊情形，因此，文中所给出的公式具有更广泛的适用性．国家自然科学基金

Eigenfunction Expansion of Dyadic Green's Function in Biisotropic Medium and its Applications

In 1990, M onion first proposed the constitutive model of biisotropic medium[1]. and more recently, it has been shown that biisotropic medium has potential important applications in such devices as novel reciprocal and non-reciprocal phase shifter,et al[2].In engineering design of such devices, cigenfunction expansion of dyadic Green's function is necessary but to the authors' best knowledgment such an expansion is still lacking.In this paper, the authors use Ohm-Rayleigh method to obtain the general formulation of dyadic Green's function for the time harmonic current source embedded inside the unbounded biisotropic medium in terms of normalized cylindrical and elliptical cylinder vector wave functions. The singular behavior of the dyadic Green's function in the source region is investigated and taken into account by exactting the delta function singularity. Furthermore, with the help of scattering supcrpositon principle, explicit expressions for the electric-type dyadic Green's functions are derived for source and observation points in different regions of a circular biisotropic cylinder. which is located within a medium of infinite extent made of another biisotropic material. As particular cases, the dyadic Green's functions include achiral, reciprocal and nonreciprocal chiral medium and arc therefore of sufficient generality to incorporate most practical applications.