光栅波像差理论的推广

上海大学学报(自然科学版)

光栅波像差理论的推广

王娟1，吕丽军2

1.上海大学理学院,上海 200444； 2.上海大学机电工程与自动化学院,上海 200072

收稿日期:2007-01-15 修回日期:1900-01-01 出版日期:2008-04-30 发布日期:2008-04-30
通讯作者: 吕丽军

Improvement of Wave-front Aberration Theory of Grating

WANG Juan1, LU Li-jun2

1. College of Sciences, Shanghai University, Shanghai 200444, China;2. School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China)

Received:2007-01-15 Revised:1900-01-01 Online:2008-04-30 Published:2008-04-30
Contact: LU Li-jun2

摘要/Abstract

摘要： 克服M.Chrisp光栅波像差理论中存在的限制，使其适用范围得到推广.首先，用广义多项式表示光栅的面形方程,推导光栅的波像差系数,使该理论不仅适用于超环面，而且可适用于二次圆锥曲面等面形光栅的优化设计和成像分析；其次，以像散面作为参考波阵面，推导出光学系统出射波阵面为像散面，像面在非聚焦面处的几何像差计算公式；最后,应用Shadow光学追迹程序验证所得结论的正确性.

关键词: 波像差, 多元件光学系统, 光栅成像

Abstract: Based on Chrisp's wave-front aberration theory of grating, the wave-front aberration coefficients are derived with a grating surface of polynomial expression, which can be used to design and analyze a grating of toroidal or conicoid surface figure. The transformation formula can be obtained from the wavefront aberration to transverse aberration on image plane even if the exit wave front is astigmatic and the image plane is out of focus. Finally, the numerical results are compared with the ray tracing results.

Key words: grating imaging, multi-element systems, wave-front aberration

中图分类号:

O435

王娟;吕丽军. 光栅波像差理论的推广[J]. 上海大学学报(自然科学版).

WANG Juan;LU Li-jun. Improvement of Wave-front Aberration Theory of Grating[J]. Journal of Shanghai University（Natural Science Edition）.