An efficient and rigorous approach to analyze the radiation from an electric dipole placed in three-dimensional woodpile EBG structures consisting of layered periodic arrays of circular cylinders is presented. The response in the spectral domain of the woodpile EBGs excited by a dipole source is calculated using one-dimensional lattice sums, the three-dimensional transition matrix of a circular cylinder, and the generalized reflection and transmission matrices of the layered system. The closed-form expression of the radiated field is rigorously obtained by a finite integral of the spectral response. Comparisons with the far fields calculated by using reciprocity both with the present approach and with a fully independent commercial EM software are presented showing excellent agreement with the proposed method and demonstrating the high computational efficiency of the semi-analytical formalism.
Jandieri, V., Ceccuzzi, S., Baccarelli, P., Schettini, G., Erni, D., Hong, W., et al. (2022). Efficient Analysis of Radiation From a Dipole Source in Woodpile EBG Structures. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 70(1), 389-400 [10.1109/TAP.2021.3098578].