Analysis of printed-circuit antennas with chiral substrates with the method of lines

In this paper, a new method is presented in order to illustrate how the method of lines can be generalized for the analysis of stratified guided wave structures filled with isotropic chiral dielectric substrates. The new proposed method derives the dyadic Green's function for stratified isotropic chiral dielectric layers from the wave equation in the spectral domain. The result leads to a clear equivalent circuit representation of the whole structure, which can be used to readily handle the hyperbolic nature of the Maxwell equations. The application demonstrates the validity of the method to the well-known example of a single microstrip patch antenna on a single grounded isotropic dielectric layer. The technique is subsequently applied to more complicated structures with multiple isotropic chiral layers and electric sources and/or metallizations in arbitrary interfaces.