Radiation and scattering from bi-isotropic bodies of revolution

Abstract

Bi-isotropic (BI) media has invoked considerable interests in the fields of millimeter-wave and microwave. It can be characterized by a bi-isotropic constitutive relation, which complicates the solution of the electromagnetic scattering and radiation problems associated with bi-isotropic medium. Although lots of papers have been published on this subject, many of them concentrate on chiral media, in which Tellegen parameter is zero. A general solution based on surface integral equation (SIE) is developed to analyze the scattering and radiation of arbitrarily shaped BI bodies, which takes both chiral and Tellegen parameters in consideration. However, this general solution is of poor efficiency when it comes to solve bodies of revolution (BOR). In this paper, a dedicated solution is developed for bi-isotropic BOR (BI-BOR). In order to deal with the BI media, the fields in BI medium are split into two pairs of fields. Each pair of fields is related with respective medium and can be treated as in normal medium. By expanding surface equivalent currents in terms of Fourier series, they can be determined one mode by one via MoM method. Once the surface equivalent currents are determined, the far-zone scattering field can be readily calculated.