Terahertz transmission properties of a triadic-Cantor-set photonic crystal containing a semiconductor

Photonic Band Gap and Fractal Resonances in Aperiodic Cantor-like Self-Similar a:SiNx Photonic Structures

“… Cantor sets of different generator values are also possible like 3-adic and 5-adic cantor sets, in which the fractal structure formation is completely dependent on the generator. Cantor set fractals are realized to demonstrate nonlinear soliton propagation, pulse shaping, arbitrary wave control, and THz spectral defect modes. − Usually, the tri-adic cantor set starts with a closed interval set [0,1], and on the next iteration, the set is divided into three parts [0,1/3], [1/3,2/3], and [2/3,1], consecutively removing the central open interval part of the set. That is, set (1/3,2/3) is eliminated, and the process continues.…”