Abstract: A passive rangefinder for determining the range to an object such as an aircraft, rocket or missile which emits electromagnetic radiation makes use of spectral measurements over a broad band of frequencies. The rangefinder includes means 202 for forming a real image of a field of view, spectrophotometer means 201 including an entrance aperture 27 placed to receive at least a part of said real image, dispersion means (15, 28, 29) for separating radiation of different wavelengths and detector means 24 for measuring the spectrum of radiation received from distinct portions of the entrance aperture. The detector output is connected to data processing means 204 arranged to deconvolve the received spectral profile with a stored representation (205) of a range-dependent atmospheric transmission spectral profile to obtain a representation of the spectral emission profile of radiation from the object.