Reflector design and study via conformal mappings

We present a new approach to relate the re ector's shape and the direction in which light gets reflected. Using a simple conformal map the reflector profile can be transformed into a curve that describes light's direction after reflection, as well as the amount of it. The method, currently limited to 2D (i.e. re ectors with a certain symmetry), can be used for both segmented and smooth reflectors, as well as with extended sources. Applications are discussed.