“…Particularly, Si 3 N 4 with its large transparency window, low losses, high third-order susceptibility (𝜒 (3) ), high refractive index, and mature nanofabrication process is very appealing. It is exploited for several linear [25] and nonlinear applications, such as four-wave mixing, [26,27] third-harmonic generation (THG), [28] supercontinuum, [29] and Kerr comb [30] generation using 𝜒 (3) nonlinearity. AOP now allows to add 𝜒 (2) processes, such as SHG, difference-frequency generation, [31] and spontaneous parametric down-conversion, [32] to the already impressive nonlinear toolbox of Si 3 N 4 .…”