“…Three-dimensional photonic crystals (PCs) have unique and complicated structures, which enable the manipulation of the flow of light [ 1 , 2 ]. Furthermore, the special dispersion properties of PCs could produce diverse fantastic, interesting, and anomalous refraction effects [ 3 , 4 , 5 ], including negative refraction [ 6 , 7 , 8 ], self-collimation [ 9 , 10 ], and a superprism effect [ 11 , 12 ]. Consequently, PCs have many important applications in various fields [ 13 , 14 ].…”