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

被引：15

作者：

Doskolovich, Leonid L. ^{[1
,2
]}

Dmitriev, Anton Yu. ^{[1
,2
]}

Moiseev, Mikhail A. ^{[1
,2
]}

Kazanskiy, Nikolay L. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Image Proc Syst Inst, Samara 443001, Russia

[2] Samara State Aerosp Univ, Samara 443086, Russia

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2014年 / 31卷 / 11期

基金：

俄罗斯科学基金会;

关键词：

FREEFORM; LENS; ILLUMINATION; COMPACT; SYSTEM; FORM;

D O I：

10.1364/JOSAA.31.002538

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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. (C) 2014 Optical Society of America

引用

页码：2538 / 2544

页数：7

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