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Germanium waveguide photodetectors with 4 μm widths and various lengths are fabricated on silicon-on-insulator substrates by selective epitaxial growth.The dependence of the germanium layer length on the responsivity and bandwidth of the photodetectors is studied.The optimal length of the germanium layer to achieve high bandwidth is found to be approximately 8 μm.For the 4 × 8μm2 photodetector,the dark current density is as low as 5mA/cm2 at-1 V.At a bias of-1 V,the 1550nm optical responsivity is as high as 0.82A/W.Bandwidth as high as 29 GHz is obtained at-4 V.Clear opened eye diagrams at 50 Gbits/s are demonstrated at 1550nm.