We review the theory and design of a novel type of stationary spectrometer in planar optical waveguides. These spatial heterodyne spectrometers are based on arrayed Mach-Zehnder interferometers and offer high resolution and increased optical throughput (etendue). A stationary Fourier technique is employed to reconstruct the input spectrum from the Mach-Zehnder outputs. Calibration mitigates waveguide fabrication errors and can be readily implemented in the spectra retrieval algorithm. Sensitivity to errors calibration measurements is numerically simulated.© (2008) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.