GREEN DYADICS IN RECIPROCAL UNIAXIAL BIANISOTROPIC MEDIA BY CYLINDRICAL VECTOR WAVE-FUNCTIONS

The reciprocal uniaxial bianisotropic medium, which can be fabricated by polymer synthesis techniques, is a generalization of the well-studi ed chiral medium. It has potential applications in the design of antir eflection coating, antenna radomes, and interesting microwave componen ts. In the present investigation, based on the concept of spectral eig enwaves, eigenfunction expansion of the Green dyadics in this class of materials is formulated in terms of cylindrical vector wave functions . The formulations are greatly simplified by analytically evaluating t he integrals with respect to the spectral longitudinal and radial wave numbers, respectively. The analysis indicates that the solutions of t he source-incorporated Maxwell's equations for a homogeneous reciproca l uniaxial bianisotropic medium are composed of two eigenwaves traveli ng with different wave numbers, and each of these eigenwaves is a supe rposition of two transverse waves and a longitudinal wave. The Green d yadics of planarly and cylindrically multilayered structures consistin g of the reciprocal uniaxial bianisotropic media can be straightforwar dly obtained by applying the method of scattering superposition and ap propriate electromagnetic boundary conditions, respectively. The resul ting formulations, which can be theoretically verified by comparing th eir special forms with existing results, provide a fundamental basis t o analyze and understand the physical phenomena of unbounded and multi layered reciprocal uniaxial bianisotropic media. The method employed h ere can be generalized to derive the eigenfunction expansion of Green dyadics in other kinds of media.