Speckle enhanced spatial-domain spectrometer

A speckle-enhanced discrete Fourier transform spectrometer can include waveguides configured to combine speckle spectroscopy techniques with discrete Fourier transform spectroscopy techniques. A discrete Fourier transform spectrometer section can be a compact, passive, chip-scale optical spectrometer. A speckle spectrometer section can include a multi-mode wave guide. An interference region can be in optical communication with both the discrete Fourier transform spectrometer section and the speckle spectrometer section such that light from both sections interfere in the interference region. A detector can be used to detect light from the interference region for detecting spectral content of light over a large bandwidth at a high resolution.