Abstract

The design of an axisymmetrical refractive optical element transforming a given incident beam into an output beam with prescribed illuminance distribution and wavefront is considered. The wavefront of the output beam is represented by the eikonal function defined in a certain plane behind the optical element. The design of the optical element is reduced to the solution of two explicit ordinary differential equations of the first order. These equations can be easily integrated using conventional numerical methods. As examples, we consider the design of two optical elements transforming a spherical beam from a point Lambertian light source into the uniform-illuminance beams with a plane wavefront and with a complex wavefront providing the subsequent focusing into a line segment on the optical axis.

© 2018 Optical Society of America

Supporting quadric method for designing refractive optical elements generating prescribed irradiance distributions and wavefronts

Dmitry A. Bykov, Leonid L. Doskolovich, Egor V. Byzov, Evgeni A. Bezus, and Nikolay L. Kazanskiy
Opt. Express 29(17) 26304-26318 (2021)

Analytical design of refractive optical elements generating one-parameter intensity distributions

Leonid L. Doskolovich, Anton Yu. Dmitriev, Mikhail A. Moiseev, and Nikolay L. Kazanskiy
J. Opt. Soc. Am. A 31(11) 2538-2544 (2014)

Linear assignment problem in the design of freeform refractive optical elements generating prescribed irradiance distributions

Dmitry A. Bykov, Leonid L. Doskolovich, Albert A. Mingazov, Evgeni A. Bezus, and Nikolay L. Kazanskiy
Opt. Express 26(21) 27812-27825 (2018)

Refractive collimation beam shaper design and sensitivity analysis using a free-form profile construction method

Chung-Yu Tsai
J. Opt. Soc. Am. A 34(7) 1236-1245 (2017)

Double freeform illumination design for prescribed wavefronts and irradiances

Christoph Bösel and Herbert Gross
J. Opt. Soc. Am. A 35(2) 236-243 (2018)