Afocal catadioptric optical assembly for Fourier-sampling computational microscopy

This paper describes a fast, wide-angle, afocal, catadioptric optical assembly designed and used for the projection of coherent collimated beams in Fourier-sampling computational microscopy, which demands an unorthodox set of optical requirements unmet by traditional imaging designs. The system accepts a diverging set of collimated beams as an input and produces a converging set of collimated beams that overlap on the surface of a target at 5 m scale distances. We derive equations for the focal surfaces relevant for system alignment and report the results of simulations of the optical performance of the system for axially symmetric and asymmetric beam interferometry. We also describe a method to vary the microscope imaging distance by up to one meter through small positional shifts in the optical elements.