Abstract:

Symmetrical dielectric layer structures are quite common in real life,especially the case of loss being in the majority,such as many artificial materials and absorbing materials.In order to grasp the electromagnetic transmission effect of these structures,it is necessary to study their electromagnetic reflection and transmission characteristics.Aiming at the properties of this structure,the equivalent four-terminal network method is used to study the reflection characteristics of the lossy symmetrical dielectric layer structure.By drawing lessons from transmission line theory and the idea of propagation matrix,this method realizes the simplified processing of the layered interface matrix,and only considers the spatial phase matrix by the way that the transmission of plane electromagnetic waves in a lossy symmetrical medium layer is equivalent to a four-terminal network.Compared with the propagation matrix method,the number of matrix multiplications is reduced,thereby reducing the amount of calculation and realizing rapid calculation of the reflection coefficient.In the photonic crystal example of the article,the calculation efficiency of the equivalent four-terminal network method is increased by more than 10 times compared with the propagation matrix method,and the time the propagation matrix method takes has exceeded 1 hour.Simulation examples show that the results obtained by the four-terminal network method are consistent with the calculated results of the propagation matrix method and the FDTD method,and that the calculation efficiency is much higher than that of the propagation matrix method when calculating multiple frequency points or broadband.

Key words: symmetry, lossy dielectric layer, fast, reflection coefficient, four-terminal network