A Laguerre-Based FDTD Method for Wave Propagation in 2-D Anisotropic Dispersive Materials

Abstract

A Laguerre-based finite-difference time-domain (FDTD) method for two dimensional anisotropic dispersive materials is proposed in this paper. Taking advantage of the property of Laguerre polynomials, the nth derivative of field components in Laguerre domain is deduced. The four elements of the tensor permittivity of the 2-D anisotropic dispersive media can be unified into a general form in frequency domain. Then the general relationship between electric fields and electric flux densities can be derived in Laguerre domain. Using spatial interpolation of transition and central difference scheme, the formulations are obtained. Two examples of wave propagation in anisotropic magnetized plasma are used to validate the efficiency of the proposed method.