计算物理 ›› 1998, Vol. 15 ›› Issue (3): 315-320.

• 论文 • 上一篇    下一篇

变形成象的光学传递函数

王琦   

  1. 中国科学院沈阳计算技术研究所 CAD/CAM实验室 110003
  • 收稿日期:1996-12-16 修回日期:1998-01-04 出版日期:1998-05-25 发布日期:1998-05-25
  • 作者简介:王琦,男,56,研究员,中科院沈阳计算所CAD室110003

OPTICAL TRANSFER FUNCTION IN ANAMORPHIC IMAGING

Wang Qi   

  1. CAD/CAM Laboratory, Shenyang Institute of Computing Technology The Academy of Sciences of China, 110003
  • Received:1996-12-16 Revised:1998-01-04 Online:1998-05-25 Published:1998-05-25

摘要: 在传统光学传递函数(OTF)计算中,总假设象对物的横向放大率不变。这种变形成象对OTF精度影响很大,但是人们一直没有找到解决此问题的好办法。本文从基尔霍夫衍射积分出发重新推导点象的振幅分布,并以出瞳坐标表示OTF自相关积分,进而利用分片多项式插值解决变形成象OTF的计算问题。同时,对文[4]中按菲涅尔近似给出的OTF公式作出比较。

关键词: 光学传递函数, 基尔霍夫衍射积分, 夫琅和费近似, 变形成象, 分片多项式插值

Abstract: In the traditional methods of computing the OTF,it is general that the transversal magnification is supposed to be not changeable in the whole aperture,though the anamorphic imaging produces considerable errores in the calculation of the OTF.People do not still find a good method to solve the problem.Starting from the Kirchhoff diffraction integral,the classical formula of the OTF in the Fraunhofer approximation is a new derived in the exit pupil coordinates and in the entrance pupil coordinates.Using piecewise polynomial interpolation,the OTF in the exit coordinates is studied for anamorphic imaging.It also gives comparison with the OTF formula of in the Fresnel approximation.

Key words: optical transfer function, Kirchhoff diffraction integral, Fraunhofer approximation, anamorphic imaging, piecewise polynomial interpolation

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