In many optical devices a task often arises to illuminate a rectangular-shaped area. With LEDs used as light sources, this
task implies reshaping of the beam from a square Lambertian emitting surface to obtain a rectangular uniformly
illuminated area ofappropriate dimensions and positioned above or decentered relative to the light source. We describe a
new type ofrefractive lens developed for this purpose and the single-pass synthesis algorithm for its shape requiring no
An algorithm for diffraction-based modeling of optical systems for laser devices has been developed. The direct integration is used for the Rayleigh-Sommerfeld formula throughout the system, so optical elements with non-plane surfaces may be adequately treated. The integration is based on the modified Cotes quadrature formula and ensures both high accuracy and speed. A method for the diffraction-based search for an initial scheme for optimization is also proposed. Thus the whole synthesis procedure for a laser optical system may be performed on the basis of diffraction theory.