“…Now, we examine the transport behaviors of energy fluxes in a transmission line composed of different types of edges, so as to explore and demonstrate how PCTIs can overcome the mode-mixing problems and impedance-mismatching issues at the terminals. In general, two simple but very useful parameters, the reflection coefficient r n,n +1 = ( Z n +1 − Z n )/( Z n +1 + Z n ) and transmission coefficient t n , n +1 = 2 Z n +1 /( Z n +1 + Z n ), can be used to characterize the degree of impedance mismatching [ 7 , 8 , 9 ]. As shown in Figure 3 , for the n th interface, Z n and Z n +1 are the wave impedances for the input n th PhC waveguide and the output ( n + 1)th PhC waveguide, respectively.…”