“…Since the photonic crystal (PhC) was first investigated [ 4 , 5 ], microwave photonic devices based on PhCs for high-frequency operations have drawn considerable concern and attracted much research [ 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. PhCs have been shown to be an effective medium for transmitting as well as controlling electromagnetic waves, which can readily facilitate the miniaturization and integration of devices at the same time [ 13 , 14 , 15 , 16 , 17 , 18 ].…”