New derived finite-difference frequency-domain method used for band structure analysis of 2-D EBG structure composed of Drude-type dispersive media

Electromagnetic wave properties in metamaterials including electromagnetic band gap (EBG) structures have been widely investigated due to their inherent capabilities for developing novel devices in the fields of optics, microwave and antenna engineering. In reality, most of the materials are dispersive or frequency-dependent, on the other hand, it is important to investigate how the performance of EBG structures depends on frequency. We propose herein a new finite-difference frequency-domain (FDFD) algorithm for band structure analysis of two-dimensional EBG materials composed of Drudetype dispersive media. This method is shown to lead to highly accurate and stable band structure calculation.