“…Generally, HPWs have the advantage of the long propagation length compared with DLSPPWs due to their low loss. Therefore, HPWs are used in several applications, such as an optical laser [8], polarization rotators [9,10,11,12], a wavelength filter [13], ring resonators [14,15,16], an optical polarizer [17], a directional coupler [18], a power splitter [19], and polarization splitters [20,21]. Since these plasmonic devices are fabricated on Si substrate together with optical devices based on silicon wire waveguides, the coupling between these two different waveguides are necessary for their integration.…”