Imaging properties of radiative multi-sub mirror array structure

Xiaoyao Liu, Zhongcheng Liang, Weiqian Hao, Rui Zhao, Meimei Kong, Tao Chen, Yue Zhang

Article ID: 1719
Vol 2, Issue 1, 2019

VIEWS - 606 (Abstract) 573 (PDF)


Based on the characteristics of liquid lens sparse aperture imaging, a radiative multiplet array structure is proposed; a simplified model of sparse aperture imaging is given, and the analytical expression of the modulation transfer function is derived from the optical pupil function of the multiplet array structure; the specific distribution form of this multiplet array structure is given, and the structure parameters are approximated by the dimensionless method; the two types of radiative multiplet array structures are discussed, and the filling factor, redundancy, modulation transfer function and other characteristic parameters are calculated. The physical phenomena exhibited by the parametric scan are discussed, and the structural features and imaging characteristics of these two arrays are compared. The results show that the type-II structure with larger actual equivalent aperture and actual cutoff frequency and lower redundancy is selected when the average modulation transfer function and the IF characteristics of the modulation transfer function of the two structures are close to each other; the type-II structure has certain advantages in imaging; the conclusion is suitable for arbitrary enclosing circle size because the liquid lens-based multiplet array structure adopts dimensionless approximation parameters; compared with the composite toroidal structure, the radiative multiplet mirror structure has a larger actual cut-off frequency and actual equivalent aperture when the filling factor is the same.


Imaging System; Modulation Transfer Function; Liquid Lens Array; Sparse Aperture; Optical Pupil Function

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1. Meinel AB, Meinel MP. Large sparse-aperture space optical systems. Optical Engineering 2002; 41(8): 1983–1994.

2. Meinel AB. Aperture synthesis using independent telescopes. Applied Optics 1970; 9(11): 2501–2504.

3. Liu L, Jiang YS, Wang HY, et al. Novel array configuration and its optimization for sparse aperture imaging systems. Optical Engineering 2011; 50(5): 053202.

4. Yi HW, Li Y, Fan C. Xishu kongjing dengbian liukongjing jiegou yanjiu (Chinese) [Research on pupil configuration of equilateral six sub-apertures sparse aperture system]. Acta Photonica Sinica 2007; 36(11): 2062–2065.

5. Wu Q. Xishu kongjing guangxue xitong chengxiang yanjiu (Chinese) [Study on the sparse aperture optical systems] [PhD thesis]. Suzhou: Suzhou University; 2006.

6. Wu Q, Qian L, Shen W. Fuhe sanzijing xishu kongjing guangtong jiegou de yanjiu (Chinese) [Research on pupil configuration of dual three sub-apertures sparse aperture system]. Acta Optica Sinica 2006; 26(2): 187–192.

7. Harvey JE, Rockwell RA. Performance characteristics of phased array and thinned aperture optical telescopes. Optical Engineering 1988; 27(9): 762–768.

8. Han J, Wang D, Liu H, et al. Guangxue xishu kongjing chengxiang fuhe kongjing zhenlie jiegou yanjiu (Chinese) [Multiple-array configuration design of optical sparse-aperture imaging system]. Journal of Optoelectronics·Laser 2007; 18(6): 649–652.

9. Fiete RD, Tantalo TA, Calus JR, et al. Image quality of sparse-aperture designs for remote sensing. Optical Engineering 2002; 41(8): 1957–1969.

10. Xie N, Zhang N, Zhao R, et al. Jiaoliu zuoyong xia dianrunshi yeti toujing dongtai guocheng de ceshi yu fenxi (Chinese) [Test and analysis of the dynamic procedure for electrowetting-based liquid lens under alternating current voltage]. Acta Physica Sinica 2016; 65(22): 224202.

11. Zhao R, Hua X,Tian Z, et al. Dianrunshi shaungyeti bianjiao toujing (Chinese) [Electrowettingbased variable-focus double-liquid lens]. Optics and Precision Engineering 2014; 22(10): 2592–2597.

12. Zhou C, Wang Z, Zhang S, et al. Dakongjing yanshe shouxian guangxue hecheng kongjing xitong MTF zhong de buchang (Chinese) [Large aperture diffraction limited optical synthetic aperture system intermediate frequency MTF compensation]. Acta Optica Sinica 2018; 38(4): 169–175.

13. Liu L, Jiang Y. Principle and application of synthetic aperture imaging. Beijing: National Defense Industry Press; 2013. p. 45–78.

14. Miller N, Duncan B, Dierking M. Resolution enhanced sparse aperture imaging. 2006 IEEE Aerospace Conference; 2006 Mar 4–11; Big Sky, MT, USA. New York: IEEE; 2006. p. 1655904.

15. Zhao J, Wang D, Zhang Y, et al. Guangxue xishu kongjing xitong fuhe zhenlie gouzao dui xitong chengxiang de yingxiang (Chinese) [Effect of different designs of the multiple-array configuration on imaging of optical sparse aperture systems]. Chinese Journal of Lasers 2009; 36(4): 934–939.



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