“…1a , through introducing the spatial-mode-parallelism dimension to silicon photonic integrated circuits (PICs), mode-division multiplexing (MDM) can significantly scale the bandwidth density of on-chip interconnects 6 , 7 , and also has great potential in MMF communications where the MMF is excited directly by the multimode waveguide via a multimode grating coupler 8 . Moreover, mode-selective manipulation has greatly promoted the development of diverse information processing fields ranging from performance-enhanced optical sensing 9 , 10 , neuro-inspired photonic computing 11 , to novel nonlinear 12 , and quantum optics devices 13 , 14 . For instance, the coupling of spatial modes with other degrees of freedom (polarization, time, frequency, etc.)…”