含不晕镜系统的约束方程及其匹配模式
The Restraint Equation Containing the Aplanat System and Its Matched Mode
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摘要: 本文研究单不晕镜和双胶不晕镜用于测绘与计量光学系统的设计理论和方法。建立含不晕镜远焦和准直物镜的约束方程,导出不晕镜由薄变厚的曲率修正公式,并借助光学技术参数的诺谟图解,阐述不晕镜玻璃选择的基本原则。作为数字例子,文中给出几种典型远焦和准直物镜的匹配模式及其象差结果。同时,论述了不晕镜设计的优越性及其位移对光学性能与成象质量的影响。分析表明,不晕镜用于远焦和准直物镜的设计,具有实用性、简便性和经济性等特点。Abstract: This paper investigates the design theories and methods in applying the single and dual cement aplanats in the optical system used in surveying and metrology.The restraint equation for afocal and collimating objective lenses containing aplanat are established.The formulas are derived for curvature correction when thin aplanats grow into thick ones.With the help of optical technical parameter nomography,a basic principle for the selection of aplanat glass is described.As a numeral example,this paper gives several matched modes and aberration results of classic afocal and collimating objective lenses.The advantages of the aplanat design and the effects of shifting on optical performences and imaging quality are also commented on.Analysis has demonstrated that with regard to afocal and collimating design,the aplanat has many features such as adaptablity,convenience and economy,etc.