Abstract
Media with anisotropic properties are widely used in modern radio electronics, an astrophysics, and in plasma physics. Anisotropicmaterials have foundwide application in the microcircuits working on ultrahigh frequencies. Thin films from monocrystals are effectively used as waveguide’s systems. At present, artificial anisotropic materials are especially actual for the design of microwave integrated circuits and optical devices. The technology advances are making the production of substrates, dielectric anisotropic films and anisotropic material filling more and more convenient. Due to the complexity caused by the parameter tensors, the plane wave expansion (Born & Wolf, 1999) is often used in the analysis of anisotropic media. The standard mathematical technique for treating propagation through a homogeneous anisotropic medium is to investigate the independent time-harmonic plane wave solutions of Maxwell’s equations. And consequently, the Fourier transform is widely applied (Chen, 1983; Kong, 1986; Ren, 1993; Uzunoglu et al., 1985). The radiation field of a dipole in a anisotropic medium is considered in greater detail and devised by (Bunkin, 1957; Clemmow, 1963a;b; Kogelnik & Motz, 1963). It is shown (Clemmow, 1963a;b) that each such field is related by a simple scaling procedure to a corresponding vacuum field. The vacuum field is expressed as the superposition of a transverse magnetic field, in which the magnetic vector is everywhere perpendicular to the axis of symmetry of the anisotropic medium, and a coplanar transverse electric field; and different scaling is applied separately to each partial field. But because of the inevitable complication of any such general analysis it also seemed desirable to isolate the simplest non-trivial case. Using these methods, (Uzunoglu et al., 1985) found the solution of the vector wave equation in cylindrical coordinates for a gyroelectric medium. (Ren, 1993) continued that work for spherical coordinates in a similar procedure and obtained spherical wave functions and dyadic Green’s functions in gyroelectric media. The dyadic Green’s functions for various kinds of anisotropic media with different structures have been studied by many authors (Barkeshli, 1993; Cottis, 1995; Lee & Kong, 1983; Weiglhofer, 1990; 1993). The problems, however, are mostly analyzed in spectral domain in terms of Fourier transform, due to the 1