Abstract: An imaging spectrometer provides a three-dimensional (two (2) spatial and one (1) spectral) image cube of a target. In this apparatus, a diffractive optical element (DOE) performs the imaging and provides the dispersion necessary to separate a multi-spectral target into separate spectral images that are detected by a photodetector array. A lens (or set of lenses) relays the image formed by the DOE to the photodetector array. This lens allows the DOE and photodetector array to be mounted with a fixed separation and the spectral images to have a constant magnification. The lens is stepped or scanned along the optical axis, and each position of the lens corresponds to a particular wavelength being imaged onto the photodetector array. At each position of the relay lens the photodetector array records a spectral image by a process called diffractive spectral sectioning.