Spectral domain analysis of dipole coupling over different electromagnetic band gap structures

The paper aims to determine the Green's functions for different realizations of electromagnetic band-gap (EBG) structures and to calculate the coupling between two dipoles placed above these EBG structures. The applied method avoids the complexity of the Floquet mode approach and the limitations of the surface wave approach. For each considered structure, some sort of asymptotic boundary conditions are derived in which the periodicity of the structure is assumed to be negligible compared to the wavelength. The goal (and the test) of the applied method is to determine properties of each considered EBG structure. Therefore, all important physical phenomena should be taken into account. In order to be able to analyze multilayer structures, the analysis model has been implemented in the G1DMULT algorithm that calculates the spectral domain Green's functions of planar, circular-cylindrical and spherical multilayer structures (Sipus, Z. et al., App. Computational Electromagnetics Soc. J., vol.13, p.243-54, 1998).