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Germanium photonic integrated circuits (PICs) have attracted great attention for developing mid-infrared nonlinear optics devices. However, it is challenging to develop a mode division multiplexing germanium PICs due to the strong mode dependence of the group velocity dispersion (GVD) in a germanium waveguide. We design a novel germanium convex waveguide, which has almost the same GVD curve for TE0 and TE1 modes. Flat GVD curves from -1450 ps/nm/km to -850 ps/nm/km are theoretically obtained within a spectral region from 2 µm to 2.5 µm. Our study is expected to open an avenue for exploring unprecedented MDM nonlinear applications.
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