基于微分方程方法的高分辨率成像光学系统设计  

Design of high-resolution imaging optical system based on differential equation method

作　　者：王培颖 冯锋 WANG Peiying;FENG Feng(Tianhe College,Guangdong Normal University of Technology,Guangzhou 510540,China;School of information Engineering,Ningxia University,Ningxia 750021,China)

机构地区：[1]广东技术师范大学天河学院,广州510540 [2]宁夏大学信息工程学院,宁夏750021

出　　处：《激光杂志》2020年第6期184-187,共4页Laser Journal

基　　金：宁夏重点研发计划重点项目(No.2018BFG02003)。

摘　　要：采用当前方法设计的成像光学系统对目标进行成像时,存在成像质量低和系统分辨率低的问题。将微分方程应用在成像光学系统的设计中,提出基于微分方程方法的高分辨率成像光学系统设计方法。在成像光学系统设计原则的基础上对成像光学系统的主要参数进行设计,通过光学折反射定理和微分几何原理建立微分方程组,采用Ronge-Kutta方法对构建的微分方程进行数值求解,在XZ平面中得到自由曲面的轨迹,根据自由曲面的轨迹构造光学自由曲面,提高成像光学系统的分辨率,结合成像光学系统的主要参数完成高分辨率成像光学系统的设计。实验结果表明,所提方法的成像质量高、系统分辨率高。When the imaging optical system designed by current method images the target,there are the problems of low imaging quality and low system resolution.Applying differential equation to the design of imaging optical system,a high-resolution imaging optical system design method based on differential equation method is proposed.Based on the design principle of imaging optical system,the main parameters of imaging optical system are designed,and the differential equations are established by optical refractive reflex theorem and differential geometry principle.The Ronge-Kutta method is used to numerically solve the differential equations.The trajectory of free-form surface is obtained in XZ plane.The optical free-form surface is constructed according to the trajectory of free-form surface to improve the resolution of imaging optical system.Combining the main parameters of imaging optical system to complete the design of high-resolution imaging optical system.The experimental results show that the proposed method has high imaging quality and high system resolution.

关 键 词：微分方程 高分辨率 成像系统 光学系统 

分 类 号：TN249[电子电信—物理电子学]