• Laser & Optoelectronics Progress
  • Vol. 57, Issue 8, 081101 (2020)
Yongfeng Zhang1、2、3、** and Hao Xian1、2、*
Author Affiliations
  • 1Key Laboratory of Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 2Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/LOP57.081101 Cite this Article Set citation alerts
    Yongfeng Zhang, Hao Xian. Effects of Gap and Decenter of Mask on Narrow-Band Algorithm with Ideal Templates for Co-Phasing a Segmented Mirror[J]. Laser & Optoelectronics Progress, 2020, 57(8): 081101 Copy Citation Text show less
    Schematic of Cartesian coordinate system and relative position relationship between segment and mask
    Fig. 1. Schematic of Cartesian coordinate system and relative position relationship between segment and mask
    Far field patterns without gap and mask decenter, corresponding to different piston errors. (a) 0; (b) π/11; (c) 2π/11; (d) 3π/11; (e) 4π/11; (f) 5π/11; (g) 6π/11; (h) 7π/11; (i) 8π/11; (j) 9π/11; (k) 10π/11
    Fig. 2. Far field patterns without gap and mask decenter, corresponding to different piston errors. (a) 0; (b) π/11; (c) 2π/11; (d) 3π/11; (e) 4π/11; (f) 5π/11; (g) 6π/11; (h) 7π/11; (i) 8π/11; (j) 9π/11; (k) 10π/11
    Far field patterns from mask with different piston and gap, but without decenter. kδ equals (a) 0; (b) π/11; (c) 2π/11; (d) 3π/11; (e) 4π/11; (f) 5π/11; (g) 6π/11; (h) 7π/11; (i) 8π/11; (j) 9π/11; (k) 10π/11
    Fig. 3. Far field patterns from mask with different piston and gap, but without decenter. equals (a) 0; (b) π/11; (c) 2π/11; (d) 3π/11; (e) 4π/11; (f) 5π/11; (g) 6π/11; (h) 7π/11; (i) 8π/11; (j) 9π/11; (k) 10π/11
    Intensity distributions for different gaps in vertical direction when kδ=6π/11
    Fig. 4. Intensity distributions for different gaps in vertical direction when =6π/11
    Far field patterns from mask with different piston and decenter, but without gap. kδ equals (a) 0; (b) π/11;(c) 2π/11; (d) 3π/11; (e) 4π/11; (f) 5π/11; (g) 6π/11; (h) 7π/11; (i) 8π/11; (j) 9π/11; (k) 10π/11
    Fig. 5. Far field patterns from mask with different piston and decenter, but without gap. equals (a) 0; (b) π/11;(c) 2π/11; (d) 3π/11; (e) 4π/11; (f) 5π/11; (g) 6π/11; (h) 7π/11; (i) 8π/11; (j) 9π/11; (k) 10π/11
    Correlation coefficients between templates
    Fig. 6. Correlation coefficients between templates
    Correlation coefficients between templates and far field patterns of mask with different gap and piston. gratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Fig. 7. Correlation coefficients between templates and far field patterns of mask with different gap and piston. gratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Correlation coefficients between templates and far field patterns of mask with different gap. gratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Fig. 8. Correlation coefficients between templates and far field patterns of mask with different gap. gratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Matching results between templates and far field patterns of mask with different gap. gratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Fig. 9. Matching results between templates and far field patterns of mask with different gap. gratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Correlation coefficients between templates and far field patterns of mask with different decenter and piston. Δyratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Fig. 10. Correlation coefficients between templates and far field patterns of mask with different decenter and piston. Δyratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Correlation coefficients between templates and far field patterns of mask with different decenter.Δyratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Fig. 11. Correlation coefficients between templates and far field patterns of mask with different decenter.Δyratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Matching results between templates and far field patterns of mask with different decenter. Δyratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Fig. 12. Matching results between templates and far field patterns of mask with different decenter. Δyratio equals (a) 0.1; (b) 0.2; (c) 0.3; (d) 0.4; (e) 0.5; (f) 0.6; (g) 0.7; (h) 0.8; (i) 0.9
    Yongfeng Zhang, Hao Xian. Effects of Gap and Decenter of Mask on Narrow-Band Algorithm with Ideal Templates for Co-Phasing a Segmented Mirror[J]. Laser & Optoelectronics Progress, 2020, 57(8): 081101
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