Author Affiliations
1College of Intelligence and Science, National University of Defense Technology, Changsha 410073, China2College of Advanced Interdisciplinary Research, National University of Defense Technology, Changsha 410073, China3Academy of Hi-Tech Research, Hunan Institute of Traffic Engineering, Hengyang 421001, Chinashow less
Fig. 1. Conventions for the pupil vector and field vector
Fig. 2. Stellar images for different assembly errors. (a) Without misalignments, and with misalignment in (b) x direction; (c) y direction and (d) x & y direction
Fig. 3. Flow chart of misalignment calculation
Fig. 4. Optical layout of Hilbert optical system
Fig. 5. Distribution of PSF and ellipticity under different misalignment status. (a) Case 1; (b) Case 2; (c) Case 3; (d) Case 4
Fig. 6. Distribution of ellipticity (a) e1, (b) e2 in ideal status
Fig. 7. Distribution of ellipticity (a) e1, (b) e2 in misaligned status
Fig. 8. Distribution of ellipticity parameter (a) e1 and (b) e2 in the case of introduced II, distribution of ellipticity parameter (c) e1 and (d) e2 in the case of calculated II
Fig. 9. Processes and results in the case of introduced II. (a) Variation of MF value with iteration times; (b) Distribution of particle swarm after the 1st iteration; (c) Distribution of particle swarm after the 15th iteration; (d) Output misalignment
Fig. 10. Misalignment calculation error in different SNR
Surface | Conic | Radius/mm | Thickness/mm | Semi-Diameter/mm | PM | −1.06 | −1291.2 | −485.5 | 152.4 | SM | −3.3095 | −425 | 649.2 | 40 |
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Table 1. Design parameters for the Hilbert optical system
Type | XDE/mm | YDE/mm | ADE/(°) | BDE/(°) | Case 1 | [−0.50 +0.50] | 0 | 0 | 0 | Case 2 | 0 | 0 | [−0.50 +0.50] | 0 | Case 3 | [−0.50 +0.50] | 0.2 | 0 | 0 | Case 4 | 0 | 0 | [−0.50 +0.50] | −0.2 |
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Table 2. Four cases of introduced misalignment status
Type | XDE/mm | YDE/mm | ADE/(°) | BDE/(°) | Introduced I | 0.2000 | 0.3700 | 0.2500 | −0.1300 | Calculated I | 0.1996 | 0.3703 | 0.2501 | −0.1297 | Error I | 0.0004 | −0.0003 | −0.0001 | −0.0003 | Introduced II | 0.0400 | 0.0370 | 0.0250 | −0.0130 | Calculated II | 0.0403 | 0.0371 | 0.0248 | −0.0128 | Error II | −0.0003 | −0.0001 | 0.0002 | −0.0002 |
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Table 3. Introduced misalignments and calculated results