Freeform surface design method combined with surface and field-of-view optimization

Yao Yanxia; Yuan Qun; Chen Lu; Dou Yimeng; Yin Huimin; Gao Zhishan

doi:10.3788/IRLA201847.1018001

Volume 47 Issue 10

Oct. 2018

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Yao Yanxia, Yuan Qun, Chen Lu, Dou Yimeng, Yin Huimin, Gao Zhishan. Freeform surface design method combined with surface and field-of-view optimization[J]. Infrared and Laser Engineering, 2018, 47(10): 1018001-1018001(8). doi: 10.3788/IRLA201847.1018001

Citation:

Yao Yanxia, Yuan Qun, Chen Lu, Dou Yimeng, Yin Huimin, Gao Zhishan. Freeform surface design method combined with surface and field-of-view optimization[J]. Infrared and Laser Engineering, 2018, 47(10): 1018001-1018001(8). doi: 10.3788/IRLA201847.1018001

Freeform surface design method combined with surface and field-of-view optimization

doi: 10.3788/IRLA201847.1018001

1.
School of Electronic and Optical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China

Received Date: 2018-05-13
Rev Recd Date: 2018-06-20
Publish Date: 2018-10-25

Abstract

An optimization design method combining surface optimization strategy and field-of-view optimization strategy was presented for expanding the field-of-views, which is used for the design of off-axis reflective optical system with freeform surface. Based on the coefficients of Zernike standard polynomials representing the wavefront error of the optical system, sequence of the aberration was determined. The optimization procedure was implemented in small field-of-views to achieve satisfied results, and then the field-of-view was expanded gradually, and the optimization steps were repeated. At last, the optical system structure parameters were got for the full field-of-views. With proper XY polynomial terms as well as optimization weight of different field-of-views selected and optimized, an F-12 off-axis three-mirror system was designed with 1 200 mm focal length and 303 field-of-view, in which, only 15 XY polynomials terms were adopted for the freeform surface. The imaging quality of the system is close to the diffraction limit that meets application requirements. This method can also guide the design of optical systems with freeform surface and larger field-of-view.
- optical design,
- freeform surface,
- optimization method,
- Zernike polynomial,
- XY polynomial

References

[1]	Wang Yongtian. Design and application of free-curved surface optical system[J]. Optics Optoelectronic Technology, 2012, 10(3):13-16. (in Chinese)王涌天. 自由曲面光学系统设计及其应用[J]. 光学与光电技术, 2012, 10(3):13-16.
[2]	Pan Junhua. The Design, Manufacture and Test of the Aspherical Optical Surface[M]. Suzhou:Soochow University Press, 2004. (in Chinese)潘君骅. 光学非球面的设计、加工与检验[M]. 苏州:苏州大学出版社, 2004.
[3]	Zhang Xin, Xu Yingchao. Study on free-form optical testing[J]. Chinese Journal of Optics and Applied Optics, 2008(1):92-99. (in Chinese)张新, 许英朝. 光学自由曲面的检测方法[J]. 中国光学与应用光学, 2008(1):92-99.
[4]	Shi Haodong, Zhang Xin, Wang Lingjie, et al. Aberration properties of off-axis freeform surface optical system[J]. Acta Optica Sinica, 2016, 36(7):0708001. (in Chinese)史浩东, 张新, 王灵杰,等. 偏轴自由曲面光学系统像差特性研究[J]. 光学学报, 2016, 36(7):0708001.
[5]	Xu Fenggang, Huang Wei, Xu Mingfei. Design of off-axis three-mirror optical system based on Wassermann-Wolf equations[J]. Acta Optica Sinica, 2016, 36(12):1222002. (in Chinese)徐奉刚, 黄玮, 徐明飞. 基于Wassermann-Wolf方程的离轴三反光学系统设计[J]. 光学学报, 2016, 36(12):1222002.
[6]	Wang Yunqi, Liu Weiqi, Zhang Daliang, et al. Design of off-axis three-mirror optical system with wide field of view based on transfer matrix[J]. Infrared and Laser Engineering, 2016, 45(4):0418003. (in Chinese)王蕴琦, 刘伟奇, 张大亮,等. 基于传递矩阵的宽视场离轴三反光学系统设计[J]. 红外与激光工程, 2016, 45(4):0418003.
[7]	Li Na, Huang Ying. Design of large-field and Low-distortion freeform space optical system with 3D construction method[J]. Acta Optica Sinica, 2016, 36(3):0322001. (in Chinese)李娜, 黄颖. 基于三维构建法的大视场低畸变自由曲面空间光学系统设计[J]. 光学学报, 2016, 36(3):0322001.
[8]	Yang Tong, Zhu Jun, Jin Guofan. Design of freeform imaging systems with linear field-of-view using a construction and iteration process[J]. Optics Express, 2014, 22(3):3362-3374.
[9]	Han Changyuan. Study on optical system of high resolution space camera[J]. Optics and Precision Enginerring, 2008, 16(11):2164-2172. (in Chinese)韩昌元. 高分辨力空间相机的光学系统研究[J]. 光学精密工程, 2008, 16(11):2164-2172.
[10]	Shi Lili. The design and research on the optical system of the space remote sensor[D]. Harbin:Harbin Institute of Technology, 2007. (in Chinese)史黎丽. 航天遥感相机光学系统设计研究[D]. 哈尔滨:哈尔滨工业大学, 2007.
[11]	Meng Qingyu, Wang Hongyuan, Wang Yan, et al. OFF-axis three-mirror freeform optical system with large linear field of view[J]. Infrared and Laser Engineering, 2016, 45(10):1018002. (in Chinese)孟庆宇, 汪洪源, 王严,等. 大线视场自由曲面离轴三反光学系统设计[J]. 红外与激光工程, 2016, 45(10):1018002.
[12]	Meng Qingyu, Wang Wei, Ma Hongcai, et al. Easy-aligned off-axis three-mirror system with wide field of view using freeform surface based on integration of primary and tertiary mirror[J]. Applied Optics, 2014, 53(14):3028-3034.
[13]	Kanolt C W. Multifocal ophthalmic lenses:US, Patent 2878721[P]. 1959-03-24.
[14]	Zhuang Zhenfeng, Chen Yanting, Yu Feihong, et al. Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface[J]. Applied Optics, 2014, 53(22):69-76.
[15]	Cakmakci O, Rolland J. Design and fabrication of a dual-element off-axis near-eye optical magnifier.[J]. Optics Letters, 2007, 32(11):1363-1365.
[16]	Tong Jingbo, Cui Qingfeng, Xue Changxi, et al. Optical design of a off-axis dual-channel helmet mounted display[J]. Acta Optica Sinica, 2010, 30(9):2662-2667. (in Chinese)佟静波, 崔庆丰, 薛常喜,等. 离轴双通道头盔显示器光学系统设计[J]. 光学学报, 2010, 30(9):2662-2667.

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Freeform surface design method combined with surface and field-of-view optimization

1. School of Electronic and Optical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China

Received Date: 2018-05-13

Rev Recd Date: 2018-06-20

Publish Date: 2018-10-25

Key words:

Abstract: An optimization design method combining surface optimization strategy and field-of-view optimization strategy was presented for expanding the field-of-views, which is used for the design of off-axis reflective optical system with freeform surface. Based on the coefficients of Zernike standard polynomials representing the wavefront error of the optical system, sequence of the aberration was determined. The optimization procedure was implemented in small field-of-views to achieve satisfied results, and then the field-of-view was expanded gradually, and the optimization steps were repeated. At last, the optical system structure parameters were got for the full field-of-views. With proper XY polynomial terms as well as optimization weight of different field-of-views selected and optimized, an F-12 off-axis three-mirror system was designed with 1 200 mm focal length and 303 field-of-view, in which, only 15 XY polynomials terms were adopted for the freeform surface. The imaging quality of the system is close to the diffraction limit that meets application requirements. This method can also guide the design of optical systems with freeform surface and larger field-of-view.

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Reference (16)

[1]	Wang Yongtian. Design and application of free-curved surface optical system[J]. Optics Optoelectronic Technology, 2012, 10(3):13-16. (in Chinese)王涌天. 自由曲面光学系统设计及其应用[J]. 光学与光电技术, 2012, 10(3):13-16.
[2]	Pan Junhua. The Design, Manufacture and Test of the Aspherical Optical Surface[M]. Suzhou:Soochow University Press, 2004. (in Chinese)潘君骅. 光学非球面的设计、加工与检验[M]. 苏州:苏州大学出版社, 2004.
[3]	Zhang Xin, Xu Yingchao. Study on free-form optical testing[J]. Chinese Journal of Optics and Applied Optics, 2008(1):92-99. (in Chinese)张新, 许英朝. 光学自由曲面的检测方法[J]. 中国光学与应用光学, 2008(1):92-99.
[4]	Shi Haodong, Zhang Xin, Wang Lingjie, et al. Aberration properties of off-axis freeform surface optical system[J]. Acta Optica Sinica, 2016, 36(7):0708001. (in Chinese)史浩东, 张新, 王灵杰,等. 偏轴自由曲面光学系统像差特性研究[J]. 光学学报, 2016, 36(7):0708001.
[5]	Xu Fenggang, Huang Wei, Xu Mingfei. Design of off-axis three-mirror optical system based on Wassermann-Wolf equations[J]. Acta Optica Sinica, 2016, 36(12):1222002. (in Chinese)徐奉刚, 黄玮, 徐明飞. 基于Wassermann-Wolf方程的离轴三反光学系统设计[J]. 光学学报, 2016, 36(12):1222002.
[6]	Wang Yunqi, Liu Weiqi, Zhang Daliang, et al. Design of off-axis three-mirror optical system with wide field of view based on transfer matrix[J]. Infrared and Laser Engineering, 2016, 45(4):0418003. (in Chinese)王蕴琦, 刘伟奇, 张大亮,等. 基于传递矩阵的宽视场离轴三反光学系统设计[J]. 红外与激光工程, 2016, 45(4):0418003.
[7]	Li Na, Huang Ying. Design of large-field and Low-distortion freeform space optical system with 3D construction method[J]. Acta Optica Sinica, 2016, 36(3):0322001. (in Chinese)李娜, 黄颖. 基于三维构建法的大视场低畸变自由曲面空间光学系统设计[J]. 光学学报, 2016, 36(3):0322001.
[8]	Yang Tong, Zhu Jun, Jin Guofan. Design of freeform imaging systems with linear field-of-view using a construction and iteration process[J]. Optics Express, 2014, 22(3):3362-3374.
[9]	Han Changyuan. Study on optical system of high resolution space camera[J]. Optics and Precision Enginerring, 2008, 16(11):2164-2172. (in Chinese)韩昌元. 高分辨力空间相机的光学系统研究[J]. 光学精密工程, 2008, 16(11):2164-2172.
[10]	Shi Lili. The design and research on the optical system of the space remote sensor[D]. Harbin:Harbin Institute of Technology, 2007. (in Chinese)史黎丽. 航天遥感相机光学系统设计研究[D]. 哈尔滨:哈尔滨工业大学, 2007.
[11]	Meng Qingyu, Wang Hongyuan, Wang Yan, et al. OFF-axis three-mirror freeform optical system with large linear field of view[J]. Infrared and Laser Engineering, 2016, 45(10):1018002. (in Chinese)孟庆宇, 汪洪源, 王严,等. 大线视场自由曲面离轴三反光学系统设计[J]. 红外与激光工程, 2016, 45(10):1018002.
[12]	Meng Qingyu, Wang Wei, Ma Hongcai, et al. Easy-aligned off-axis three-mirror system with wide field of view using freeform surface based on integration of primary and tertiary mirror[J]. Applied Optics, 2014, 53(14):3028-3034.
[13]	Kanolt C W. Multifocal ophthalmic lenses:US, Patent 2878721[P]. 1959-03-24.
[14]	Zhuang Zhenfeng, Chen Yanting, Yu Feihong, et al. Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface[J]. Applied Optics, 2014, 53(22):69-76.
[15]	Cakmakci O, Rolland J. Design and fabrication of a dual-element off-axis near-eye optical magnifier.[J]. Optics Letters, 2007, 32(11):1363-1365.
[16]	Tong Jingbo, Cui Qingfeng, Xue Changxi, et al. Optical design of a off-axis dual-channel helmet mounted display[J]. Acta Optica Sinica, 2010, 30(9):2662-2667. (in Chinese)佟静波, 崔庆丰, 薛常喜,等. 离轴双通道头盔显示器光学系统设计[J]. 光学学报, 2010, 30(9):2662-2667.

Freeform surface design method combined with surface and field-of-view optimization

doi: 10.3788/IRLA201847.1018001

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References

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