Light detecting structures comprising germanium (Ge) photodiodes formed in a device layer of a germanium on-insulator (GeOI) wafer, focal planes arrays based on such Ge photodiodes (PDs) and methods for fabricating such Ge photodiodes and focal plane arrays (FPAs). An FPA includes a Ge-on-GeOI PD array bonded to a ROIC where the handle layer of the GeOI layer is removed. The GeOI insulator properties and thickness can be designed to improve light coupling into the PDs.