A set of differential equations is derived which specifies the shape of two aspherical surfaces of a lens system that will convert an incident plane wave with an arbitrary energy profile into collimated radiation with a uniform energy distribution. As an example, a lens system is designed that converts a laser beam with a Gaussian energy profile into an expanded beam with a uniform energy distribution. Off-axis rays are then traced through the lenses in order to analyze the performance of the lens system.
© 1980 Optical Society of America
Patrick W. Rhodes and David L. Shealy, "Refractive optical systems for irradiance redistribution of collimated radiation: their design and analysis," Appl. Opt. 19, 3545-3553 (1980)