Optical transmission through multicomponent Thue–Morse multilayers

In this paper, generalizing Thue–Morse (TM) and three-component Thue–Morse (3CTM) models we propose multicomponent Thue–Morse (mCTM) sequence and study the optical transmission vertically through the mCTM superlattice. It is found that at the central wavelength, the indices of the propagation matrix elements (PMEs) are all related to the coefficients of Pascal Triangle, and the propagation matrices (PMs) and transmission coefficients (TCs) exhibit interesting pseudo-2m-cycle and pseudo-m-cycle features, respectively. The optical pseudo-cyclic property can be explained by the cantor-set structure of mCTM and the optical modes of the light. By means of DS method we simplify mCTM sequence and show an optical fractal-like property. As an instance, we show the substitution process of 4CTM. For the pseudo-cyclic optical transmission of mCTM superlattice, there would be potential applications for the designing of some complex optical devices.