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We investigate on-chip spectral control of supercontinuum generation, takingadvantage of the additional spatial degree of freedom in strongly-coupleddual-core waveguides. Using numerical integration of the multi-mode generalizednonlinear Schr\"odinger equation, we show that, with proper waveguidecross-section design, selective excitation of supermodes can vary thedispersion to its extremes, i.e., all-normal or anomalous dispersion can beselected via phase shifting in a Mach-Zehnder input circuit. The resultingcontrol allows to provide vastly different supercontinuum spectra with the samewaveguide circuit.

On-Chip Phase-Shift Induced Control of Supercontinuum Generation in a Dual-Core Si$\mathbf{_{3}}$N$\mathbf{_{4}}$ Waveguide