Eigenmodes analysis in Drude-type dispersive EBG structures in frequency domain

Recently, remarkable progress has been made in the study of electromagnetic band gap (EBG) structures due to their various applications in optics, microwave, and antenna engineering. The band structure of EBG structures has been researched for frequency-independent or non-dispersive materials. Lately, there is an intensive interest in the analysis of dispersive EBG structures for novel applications. Therefore, accuracy in modeling of the band structure of EBGs composed of dispersive materials is important to accurately analyze the wave propagation phenomena over a wide range of frequencies in microwave and optical fields. In this paper, we use a new 2D FDFD algorithm to calculate the band structure and electric field distribution of eigenmodes of 2D EBG structure composed of Drude-type dispersive media. This algorithm uses only the eigenvalue equation, thus, all of the eigenfrequencies can be computed accurately for every band point of irreducible Brillouin zone. To validate this method, it is compared with the FDTD method which shows high accuracy and stability.