This was EPSRC funded (GR/L90774/01) work which describes the development of an optical Fourier transforming lens. This was part of the hybrid correlator system invented in our group and has been further developed by the IIT (joby@physics.iitd.ernet.in), and Richard Hartman of AOS Inc (hartman@aos-inc.com). I describe how the system was built to produce a multi-resolution Fourier transform system including collimation and SLM optics. The system has a small physical size and tight optical specification. Many optical elements performed dual uses (e.g. the part of the collimation optics are also part of the Fourier transform optics).