Doskolovich Leonid L, Dmitriev Anton Yu, Moiseev Mikhail A, Kazanskiy Nikolay L
J Opt Soc Am A Opt Image Sci Vis. 2014 Nov 1;31(11):2538-44. 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.
我们计算一个折射面，以便从具有平面波前的入射光束生成由单变量向量函数描述的单参数强度分布。折射面的计算被简化为求解两个显式的一阶常微分方程。提出了一种解决各种单参数强度分布解的存在性问题的方法。设计了能形成各种强度分布（直线、圆弧和双弧）的光学元件。对所设计光学元件的数值模拟结果表明了所生成线形图案的高质量。
