Abstract: A method of designing a transmissive optical element for converting a profile of a light beam from a predetermined input profile to a predetermined output profile is disclosed. The method comprises: calculating a stationary function of a predetermined cost functional selected such that the stationary function satisfies a mapping condition for mapping the predetermined input profile into the predetermined output profile, thereby providing a mapping function. The method further comprises utilizing the mapping function for calculating surface properties of at least a first surface and a second surface of the transmissive optical element.

Abstract: The present invention relates to the field of optics, and, in particular to a system and method for determining the phase of a wave. The system and method of the present invention calculates the phase of any type of wave based on the intensity of the wave. In particular, the system and method provides a means for finding the ray mapping between two surfaces in space from information on the wave's intensity measured at those two surfaces.

Abstract: A method of designing a transmissive optical element for converting a profile of a light beam from a predetermined input profile to a predetermined output profile is disclosed. The method comprises: calculating a stationary function of a predetermined cost functional selected such that the stationary function satisfies a mapping condition for mapping the predetermined input profile into the predetermined output profile, thereby providing a mapping function. The method further comprises utilizing the mapping function for calculating surface properties of at least a first surface and a second surface of the transmissive optical element.