• Acta Optica Sinica
  • Vol. 44, Issue 4, 0411002 (2024)
Huiyan Zhang1、2, Ming Liu1、2、*, Bu Ning1、2、3, Mei Hui1、2, Liquan Dong1、2、3, Lingqin Kong1、2, and Yuejin Zhao1、2
Author Affiliations
  • 1School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
  • 2Beijing Key Laboratory for Precision Optoelectronic Measurement Instrument and Technology, Beijing 100081, China
  • 3Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing 314019, Zhejiang , China
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    DOI: 10.3788/AOS231668 Cite this Article Set citation alerts
    Huiyan Zhang, Ming Liu, Bu Ning, Mei Hui, Liquan Dong, Lingqin Kong, Yuejin Zhao. Imaging Characteristics of One-Dimensional Rotating Synthetic Array for Sparse Aperture[J]. Acta Optica Sinica, 2024, 44(4): 0411002 Copy Citation Text show less
    One-dimensional multi-aperture (N=2, 3, 4, 5) array pupil structures and its autocorrelation distributions. (a) N=2,Fmax=50%, S=1; (b) N=3, Fmax=18.75%, S=1∶2; (c) N=4, Fmax=8.16%, S=1∶3∶2; (d) N=5, Fmax=4.13%, S=1∶3∶4∶2
    Fig. 1. One-dimensional multi-aperture (N=2, 3, 4, 5) array pupil structures and its autocorrelation distributions. (a) N=2,Fmax=50%, S=1; (b) N=3, Fmax=18.75%, S=1∶2; (c) N=4, Fmax=8.16%, S=1∶3∶2; (d) N=5, Fmax=4.13%, S=1∶3∶4∶2
    Pupil structure, three-dimensional MTF and PSF distributions of one-dimensional three-aperture array. (a) Pupil structure; (b) MTF; (c) PSF
    Fig. 2. Pupil structure, three-dimensional MTF and PSF distributions of one-dimensional three-aperture array. (a) Pupil structure; (b) MTF; (c) PSF
    Pupil structure and MTF and PSF distributions in two and three dimensions after one rotation. (a) Pupil structure; (b) MTF (α=2π/7); (c) PSF (α=2π/7)
    Fig. 3. Pupil structure and MTF and PSF distributions in two and three dimensions after one rotation. (a) Pupil structure; (b) MTF (α=2π/7); (c) PSF (α=2π/7)
    Pupil structures, MTF spectra, and PSF distributions at different angles of single rotation. (a1)(a2) 2π/7; (b1)(b2) π/3; (c1)(c2) 2π/5; (d1)(d2) π/2; (e1)(e2) 2π/3
    Fig. 4. Pupil structures, MTF spectra, and PSF distributions at different angles of single rotation. (a1)(a2) 2π/7; (b1)(b2) π/3; (c1)(c2) 2π/5; (d1)(d2) π/2; (e1)(e2) 2π/3
    Changes of rotation times, total number of sub-apertures, and filling factor under different rotation angles. (a) Total number of sub-apertures and number of rotations varying with rotation angle; (b) filling factor and total number of sub-apertures varying with rotation angle
    Fig. 5. Changes of rotation times, total number of sub-apertures, and filling factor under different rotation angles. (a) Total number of sub-apertures and number of rotations varying with rotation angle; (b) filling factor and total number of sub-apertures varying with rotation angle
    Pupil structures and corresponding two-dimensional and three-dimensional MTF and PSF distributions of rotating synthetic aperture and Golay-9 array. (a1)-(a4) OR6 array; (b1)-(b4) OR5 array; (c1)-(c4) OR4 array; (d1)-(d4) OR3 array; (e1)-(e4) OR2 array; (f1)-(f4) Golay-9 array
    Fig. 6. Pupil structures and corresponding two-dimensional and three-dimensional MTF and PSF distributions of rotating synthetic aperture and Golay-9 array. (a1)-(a4) OR6 array; (b1)-(b4) OR5 array; (c1)-(c4) OR4 array; (d1)-(d4) OR3 array; (e1)-(e4) OR2 array; (f1)-(f4) Golay-9 array
    One-dimensional MTF distributions of rotating synthetic aperture, single aperture, and Golay-9 array. (a) MTF along fx axis; (b) MTF along fy axis
    Fig. 7. One-dimensional MTF distributions of rotating synthetic aperture, single aperture, and Golay-9 array. (a) MTF along fx axis; (b) MTF along fy axis
    Simulation images of Golay-9, OR4, and OR3 arrays. (a) Original image; (b) simulation image of Golay-9 array; (c) simulation image of OR4 array; (d) simulation image of OR3 array
    Fig. 8. Simulation images of Golay-9, OR4, and OR3 arrays. (a) Original image; (b) simulation image of Golay-9 array; (c) simulation image of OR4 array; (d) simulation image of OR3 array
    Optical path diagram and experimental device diagram. (a) Optical path diagram; (b) experimental device diagram
    Fig. 9. Optical path diagram and experimental device diagram. (a) Optical path diagram; (b) experimental device diagram
    Experimental results of Golay-9, OR3, and OR4 arrays. (a) Image obtained by Golay-9 array; (b) image obtained by OR3 array; (c) image obtained by OR4 array; (d) line traces of horizontal bars of group 6; (e) line traces of vertical bars of group 6; (f) MTF estimation
    Fig. 10. Experimental results of Golay-9, OR3, and OR4 arrays. (a) Image obtained by Golay-9 array; (b) image obtained by OR3 array; (c) image obtained by OR4 array; (d) line traces of horizontal bars of group 6; (e) line traces of vertical bars of group 6; (f) MTF estimation
    Array

    Number of

    sub-apertures

    Filling factor /%Practical cutoff frequency ρcMmid-freqPSNR /dBSSIM
    Single1100.001.00000.212831.180.9563
    Golay-9914.000.89510.078222.890.6149
    OR61547.150.79010.136025.580.7577
    OR51341.180.88890.125024.910.7140
    OR41134.840.79120.124524.800.7187
    OR3928.510.65280.122324.470.6910
    OR2722.170.53090.093723.220.6282
    Table 1. Evaluation indexes of imaging characteristics of single aperture, Golay-9, and rotating synthetic aperture array structures
    Huiyan Zhang, Ming Liu, Bu Ning, Mei Hui, Liquan Dong, Lingqin Kong, Yuejin Zhao. Imaging Characteristics of One-Dimensional Rotating Synthetic Array for Sparse Aperture[J]. Acta Optica Sinica, 2024, 44(4): 0411002
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