Coordinate Transformations with Multiple Computer-generated Optical Elements

Abstract

Abstract An afocal system for coherent optical coordinate transformation using computer-generated holograms is presented. The afocal geometry allows cascading of transformations and simple incorporation into optical systems. A two-element afocal transformation system from Cartesian to log-polar coordinates, and a three-element cascaded afocal transformation system from polar to Cartesian coordinates, are presented for simple objects.