Disclosed is a bandwidth calculation system for determining a desired wavelength bandwidth for a measurement beam in a mark detection system, the bandwidth calculation system comprising a processing unit configured to determine the desired wavelength bandwidth based on mark geometry information, e.g. comprising mark depth information representing a depth of a mark. In an embodiment the desired wavelength bandwidth is based on a period and/or a variance parameter of a mark detection error function. The invention further relates to a mark detection system, a position measurement system and a lithographic apparatus comprising the bandwidth calculation system, as well as a method for determining a desired wavelength bandwidth.