多级衍射元件消色差系统的面型分析  

Surface Analysis of Achromatic System with Multiple-Order Diffractive Element

作　　者：郑博洋 薛常喜[1,2] Zheng Boyang;Xue Changxi(School of Optoelectronic Engineering,Changchun University of Science and Technology,Changchun 130022,Jilin,China;Key Laboratory of Advanced Optical System Design and Manufacturing Technology of Universities of Jilin Province,Changchun University of Science and Technology,Changchun 130022,Jilin,China)

机构地区：[1]长春理工大学光电工程学院,吉林长春130022 [2]长春理工大学先进光学设计与制造技术吉林省高校重点实验室,吉林长春130022

出　　处：《光学学报》2023年第10期1-8,共8页Acta Optica Sinica

基　　金：吉林省自然科学基金(20220101124JC)。

摘　　要：多级衍射元件在衍射望远系统消色差领域的应用逐渐成为热点。基于赛德尔三级像差理论,对由多级衍射光学元件、折射光学元件和菲涅耳衍射元件三元件组合的光学系统展开分析。在400~700 nm工作波段,通过数学推导校正表面系统的球差,同时实现消色差及复消色差。对系统在平面、球面和非球面不同面型下的成像质量进行比对。当系统为非球面设计时,调制传递函数在截止频率50 lp/mm处高于0.6683,优于平面和球面设计,衍射圈入能量更高,成像质量更好。该研究为将多级衍射元件组合系统运用到消色差领域提供了参考。Objective As science and technology develop by leaps and bounds,requirements for the comprehensive performance of optical systems are getting higher.Optical systems are developing towards lightweight,simple structure,excellent optical performance,and low manufacturing cost.Due to its good optical properties,thermal stability,and flat field characteristics,the diffractive optical element is applied to the achromatic field.It can not only increase the degree of freedom of optical design but also break through many limitations of traditional optical systems.It has incomparable advantages in improving the image quality and reducing the volume and weight of the system,whereas its dispersion characteristics limit the application in the wide band.In this paper,a combination of multiple-order diffractive elements(MODs),refractive elements(ROEs),and diffractive Fresnel elements(DFLs)is proposed to realize the achromatism of the system,which greatly enhances the practicability of diffractive lenses under the wide band.In the field of wide band,the achromatic and apochromatic refractive-diffractive hybrid optical system can be realized.After analyzing and comparing surface shapes,the results which can optimize the imaging quality of the optical system are obtained.The proposed design can promote the application of the refractive-diffractive hybrid optical system in the field of achromatic and be conducive to the application of multiple-order diffractive element combination system in the field of achromatic.Methods This paper analyzes the optical system composed of multiple-order diffractive elements,refractive elements,and diffractive Fresnel elements.Under the guidance of scalar diffraction theory,the combined optical system is mathematically expressed based on the Seidel third-order aberration theory.Firstly,according to the achromatic and apochromatic characteristics of the system,the focal power of the system is expressed,and the expression relationship is obtained.Then,according to the third-order aberration theory of

关 键 词：衍射 多级衍射元件 三级像差理论 消色差 非球面 折衍射混合 

分 类 号：O436[机械工程—光学工程]