Electromagnetic Filtering with High Performance by one Dimensional Defective Comb-Like Waveguides Structure Using the Transfer Matrix

Abstract

In this paper, we study the propagation of electromagnetic waves in 1D photonic comb-like waveguides (CWGs) structure. This CWGs structure is constituted by a periodicity of segments of length d1 and grafted in each site by one resonator of length d2. This system creates the pass bands separated by large photonic band gaps where the electromagnetic waves cannot propagate. Our study focuses on the impact of a geometrical defect on the transmission spectrum. The creation of a defect of length d02 at the resonator in a perfect structure makes it possible to identify localized modes (defect modes) in the bandgaps. In this research, we demonstrate that a single defect at the resonator can lead to the filtering of two or more frequencies. The analytical calculation is performed using the transfer matrix method. This method aims to calculate the dispersion relation and the transmission rate. This structure has potential applications as an electromagnetic guiding, filtering and demultiplexing.