Optical Technique, Volume. 47, Issue 3, 257(2021)
An optimization method of deformable mirror shape design for freeform surface partial compensation interferometry
[4] [4] Dall H E. A null test for paraboloids[J]. J. Br.Astron.Assoc,1947,57(5):201-205.
[5] [5] Offner A. A null corrector for paraboloidal mirrors[J]. Applied Optics,1963,2(2):153-155.
[6] [6] Ross F E. Parabolizing mirrors without a flat[J]. The Astrophysical Journal,1943,98:341.
[7] [7] Shafer D R. Zoom null lens[J]. Applied Optics,1979,18(22):3863-3865.
[8] [8] MacGovern A J, Wyant J C. Computer generated holograms for testing optical elements[J]. Applied Optics,1971,10(3):619-624.
[10] [10] Cheng T, Liu W J, Pang B Q, et al. A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system[J]. Chinese Physics B,2018,27(07):253-261.
[11] [11] Wang H R. Research on a bimorph piezoelectric deformable mirror for adaptive optics in optical telescope[J]. Optics Express,2017,25(7):8115.
[12] [12] Fuerschbach K, Thompson K P, Rolland J P. Interferometric measurement of a concave, φ-polynomial, Zernike mirror[J]. Optics Letters,2014,39(1):18.
[13] [13] Huang L, Choi H, Zhao W C, et al. Adaptive interferometric null testing for unknown freeform optics metrology[J]. Optics Letters,2016,41(23):5539-5542.
[14] [14] Zhang L, Zhou S, Li D, et al. Model-based adaptive non-null interferometry for freeform surface metrolog[J]. Chinese Optics Letters,2018,16(08):44-48.
[15] [15] Thompson K P. Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry[J]. Journal of the Optical Society of America.A,Optics,Image Science,and Vision,2005,22(7):1389-401.
[16] [16] Fuerschbach K, Rolland J P, Thompson K P. Extending nodal aberration theory to include mount-induced aberrations with application to freeform surfaces[J]. Optics Express,2012,20(18):20139-20155.
[17] [17] Fuerschbach K, Rolland J P, Thompson K P. Theory of aberration fields for general optical systems with freeform surfaces[J]. Optics Express,2014,22(22):26585.
[19] [19] Tian C, Yang Y Y, Wei T, et al. Nonnull interferometer simulation for aspheric testing based on ray tracing[J]. Applied Optics,2011,50(20):3559.
[20] [20] A. B. Bhatia, E. Wolf. On the circle polynomials of Zernike and related orthogonal sets[J]. Mathematical Proceedings of the Cambridge Philosophical Society,2008,50(01).
Get Citation
Copy Citation Text
ZHOU Ting, HAO Qun, HU Yao, NING Yan. An optimization method of deformable mirror shape design for freeform surface partial compensation interferometry[J]. Optical Technique, 2021, 47(3): 257