“…Most of the reported mode converters to date perform a single mode conversion function only. They cannot perform two or more mode conversion functions, and are not reconfigurable, extensible, or programmable either [ 15 , 16 , 17 , 18 , 19 , 20 , 21 , 24 , 25 , 26 ]. These functions however are essential for the realization of on-chip multimode photonics.…”