“…Short-reach optical interconnects have an increasing demand due to the emerging applications in cloud computing, including the board-to-board interconnects [1], [2], the on-board interconnects [3]- [9], the chip-to-chip interconnects [10], [16], and the on-chip interconnects [11]- [15], [17], [18]. The optical waveguides combined with a vertical-transition structure developed on a silicon substrate [15]- [17] or a silicon-on-insulator (SOI) substrate [10]- [14], [18] to form a vertical-coupling configuration have received great attention in the recent years [10]- [18]. Several approaches were proposed to realize the vertical-transition structures, such as the grating coupler [10], the threedimensional (3-D) taper [11], [12], the vertically integrated multimode interferometer (MMI) coupler [13], [14], the through-silicon photonic via (TSPV) combined the grating coupler [15], and the reflective mirrors [16]- [25].…”