“…Integrated optics, compatible with large-volume and low-cost complementary metal oxide semiconductor (CMOS) technology, is a method to realize compact and complex on-chip systems. Currently, MDM components, including mode-division multiplexer/demultiplexer (MUX/DeMUX) [ 5 , 6 , 7 , 8 ], mode-selective switch [ 9 , 10 , 11 ], and multimode spirals [ 12 , 13 ], have been proposed and applied in reconfigurable optical networks [ 14 , 15 ], optical computation [ 16 ], and nonlinear optics. However, traditional waveguides are co-planar (or 2D) structures that impose significant limitations on the design of (de-)multiplexers with a three-dimensional (3D) spatial distribution of fiber modes [ 17 ].…”