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基于自由曲面双波段离轴三反光学系统的优化设计

杨旭 李艳红 张远健 朱大略 张智强

杨旭, 李艳红, 张远健, 朱大略, 张智强. 基于自由曲面双波段离轴三反光学系统的优化设计[J]. 红外技术, 2022, 44(11): 1195-1202.
引用本文: 杨旭, 李艳红, 张远健, 朱大略, 张智强. 基于自由曲面双波段离轴三反光学系统的优化设计[J]. 红外技术, 2022, 44(11): 1195-1202.
YANG Xu, LI Yanhong, ZHANG Yuanjian, ZHU Dalue, ZHANG Zhiqiang. Optimal Design of Dual-Band Off-Axis Three-Reflection Optical System Based on Free-form Surface[J]. Infrared Technology , 2022, 44(11): 1195-1202.
Citation: YANG Xu, LI Yanhong, ZHANG Yuanjian, ZHU Dalue, ZHANG Zhiqiang. Optimal Design of Dual-Band Off-Axis Three-Reflection Optical System Based on Free-form Surface[J]. Infrared Technology , 2022, 44(11): 1195-1202.

基于自由曲面双波段离轴三反光学系统的优化设计

详细信息
    作者简介:

    杨旭(1990-),男,助理工程师,研究方向:先进光学设计与光学制造。E-mail:547114803@qq.com

  • 中图分类号: O435

Optimal Design of Dual-Band Off-Axis Three-Reflection Optical System Based on Free-form Surface

  • 摘要: 在航空遥感领域中,双波段光学系统是最具代表性的光学系统。与单一波段光学系统相比,双波段系统可以同时探测到背景信号和目标信号,从而获得更准确的信息。采用离轴反射系统这一方案与折射系统相比,在满足更长焦距的同时,又能实现光学系统小型化的目标。本文提出一种基于自由曲面的反射系统作为设计蓝本,能够获得如下优点:视场角更大,光路容易折叠,系统成像质量高,能够达到高分辨率成像以及系统的轻量化设计。本文采用动态光学理论对系统初始结构进行求解并通过对系统元件的倾斜与偏移计算获得离轴系统,系统引入自由曲面获得更加优质的成像质量。系统参数如下:焦距为2000 mm,相对孔径为1/2,视场角为6°×1°,工作波段为3~5 μm与8~12 μm,选用法国Sofradir公司生产的红外双色焦平面阵列非制冷型探测器;设计结果表明,加入自由曲面后系统的成像质量得到了明显改善,系统在整个工作波段内MTF值在14 lp≥0.3。
  • 图  1  彗差的中心和像散的两个零点

    Figure  1.  The center of coma and two zeros of astigmatism

    图  2  彗差和像散的校正

    Figure  2.  Correction of coma and astigmatism

    图  3  两种离轴三反系统结构形式

    Figure  3.  Two kinds of off-axis system

    图  4  优化后系统结构简图

    Figure  4.  Schematic diagram of optimized system structure

    图  5  系统传递函数

    Figure  5.  Dual band MTF of the system

    图  6  中波波段与长波波段系统点列图

    Figure  6.  Spot diagram of medium wave band and long wave band system

    图  7  系统灵敏度

    Figure  7.  System sensitivity analysis

    图  8  系统公差分析

    Figure  8.  System tolerance analysis

    表  1  Zernike多项式与像差关系

    Table  1.   Relationship between Zernike polynomials and primary aberrations

    Number of terms Standard zenick multinomial Seidel aberration
    Z1 1 Parallel
    Z3 rcos(θ) Distortion-Tilt (x-axis)
    Z3 rsin(θ) Distortion-Tilt (x-axis)
    Z4 r2cos(2θ) Primary astigmatism (0° or 90° axis)
    Z5 2r2-1 Defocus-curvature of field
    Z6 r2sin(2θ) Primary astigmatism (±45° axis)
    Z7 r3cos(3θ) Primary clover (x-axis)
    Z8 cos(θ)(3r3-2r) Primary coma (x-axis)
    Z9 sin(θ)(3r3-2r) Primary coma (y-axis)
    下载: 导出CSV

    表  2  系统设计要求

    Table  2.   System design requirements

    System parameters Relevant parameter
    Work band/μm 3-5,8-12
    focal length/mm 2000
    F-number 2
    angle of field/° 6×1
    Probe image element dimensions/μm 30×30
    Modulation Transfer function requirements 14 lp≥0.3
    下载: 导出CSV

    表  3  基于动态光学理论计算的初始结构结果

    Table  3.   Details of the initial structure matrix calculation result

    System parameters r1 r2 r3 d1 d2 l
    Parameter values -2130 -600 -1000 2100 -2105 1200
    下载: 导出CSV

    表  4  系统参数

    Table  4.   System parameters index

    Mirror Surface type Radius/mm Thickness/mm Conic
    Primary mirror A spherical -2367.661 -1065.700 -0.821
    Secondary mirror Zernike polynomial -639.103 1181.794 -5.285
    Third mirror A spherical -1036.150 -1074.884 -0.119
    下载: 导出CSV

    表  5  次镜泽尼克自由曲面系数

    Table  5.   Zenike polynomial coefficients of secondary mirror

    Item Coefficient Item Coefficient Item Coefficient
    Z1 -1.639 Z6 0.076 Z11 -0.205
    Z2 -0.246 Z7 -0.271 Z12 -0.027
    Z3 -0.241 Z8 -0.285 Z13 -0.013
    Z4 -0.463 Z9 -0.155 Z14 0.046
    Z5 -0.116 Z10 0.212 Z15 0.319
    下载: 导出CSV

    表  6  光学系统公差值

    Table  6.   Optical system tolerance value

    Definition Tolerance value Definition Tolerance value
    radius of curvature ±2mm quadratic aspherical coefficients ±0.01
    The surface is irregular ±0.1 Main mirror 4th aspherical coefficient ±1e-10
    airspace ±2mm Main mirror 6th aspherical coefficient ±1e-16
    Main mirror tilt ±0.01 Main mirror 8th aspherical coefficient ±1e-18
    The main mirror eccentric ±0.5 Main mirror 10th aspherical coefficient ±1e-24
    Sub-mirror tilt ±0.003 Three-mirror 4th nonspherical coefficient ±1e-9
    The second mirror eccentric ±0.2 Three-mirror 6th aspheric coefficient ±1e-14
    Third mirror tilt ±0.003 Three-mirror 8th aspheric coefficient ±1e-17
    Third mirror eccentric ±0.2 Three-mirror 10th aspheric coefficient ±1e-23
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-11-25
  • 修回日期:  2022-01-25
  • 刊出日期:  2022-11-20

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