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

作者：Doskolovich Leonid L^*; Dmitriev Anton Yu; Moiseev Mikhail A; Kazanskiy Nikolay L

来源：Journal of the Optical Society of America A-Optics Image Science and Vision, 2014, 31(11): 2538-2544.

DOI：10.1364/JOSAA.31.002538

We calculate a refractive surface to generate a one-parameter intensity distribution described by a vector function of one argument from an incident beam with a plane wavefront. The calculation of the refractive surface is reduced to the solution of two explicit ordinary differential equations of the first order. An approach to solving the problem of the existence of solutions for various one-parameter intensity distributions is proposed. Optical elements that form a variety of intensity distributions (a line, a circular arc, and a double-arc) are designed. The results of numerical simulations of the designed optical elements demonstrate the high quality of the generated line-shaped patterns.

• 出版日期2014-11