Analysis of the far-field radiation of a Hertzian dipole embedded in electromagnetic bandgap (EBG) structures of periodic lossless multilayers using equivalent CCITL models

In this paper, the far-field radiation of an electric Hertzian dipole embedded in electromagnetic bandgap (EBG) structures of periodic lossless multilayers is studied analytically and numerically. To simplify the analysis of this radiation problem, the equivalent transmission line (TL) model based on conjugately characteristic-impedance TLs (CCITLs) is employed to efficiently compute the far-field radiation of the Hertzian dipole, where associated reflection coefficients, which are useful in computing far fields, can be determined effectively. Numerical results based on equivalent CCITL models are in good agreement with results obtained from a commercial electromagnetic software.