Demonstration of a Fizeau Directly-Imaging Sparse-Aperture Telescope with Pointing and Tracking Capabilities
Abstract
:1. Introduction
2. Fizeau Directly-Imaging Sparse-Aperture Telescope and Parameter Error Calibration
3. Pointing and Tracking Experiment
3.1. Pointing Experiment
3.2. Tracking Experiment
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
References
- Hege, E.K.; Beckers, J.M.; Strittmatter, P.A.; McCarthy, D.W. Multiple mirror telescope as a phased array telescope. Appl. Opt. 1985, 24, 2565–2576. [Google Scholar] [CrossRef]
- Fender, J.S.; Carreras, R.A. Demonstration of An Optically Phased Telescope Array. Opt. Eng. 1988, 27, 706–711. [Google Scholar] [CrossRef]
- Salinari, P.; Spie, S. The Large Binocular Telescope. In Proceedings of the 18th Congress of the International Commission for Optics: Optics for the Next Millennium, Technical Digest; SPIE: Paris, France, 1999; Volume 3749, p. 89. [Google Scholar]
- Chung, S.J.; Miller, D.W.; de Weck, O.L. Argos testbed: Study of multidisciplinary challenges of future spaceborne interferometric arrays. Opt. Eng. 2004, 43, 2156–2167. [Google Scholar] [CrossRef] [Green Version]
- Kendrick, R.L.; Aubrun, J.N.; Bell, R.; Benson, R.; Benson, L.; Brace, D.; Breakwell, J.; Burriesci, L.; Byler, E.; Camp, J.; et al. Wide-field Fizeau imaging telescope: Experimental results. Appl. Opt. 2006, 45, 4235–4240. [Google Scholar] [CrossRef]
- Carmelo, A.; Xinyang, C.; Zhaojun, Y.; Lixin, Z.; Guido, A.; Chaoyan, W.; Nenghong, Z.; Liyun, Z.; Jianqing, C.; Zhenghong, T. Sparse aperture differential piston measurements using the pyramid wave-front sensor. In Proceedings of the SPIE Astronomical Telescopes + Instrumentation 2016, Edinburgh, UK, 26 June–1 July 2016; p. 99096K. [Google Scholar]
- Yuanyuan, D.; Xinyang, C.; Chaoyan, W.; Bei, W. High-resolution imaging of optical interferometric telescope. In Proceedings of the Eleventh International Conference on Information Optics and Photonics (CIOP 2019), Xi’an, China, 20 December 2019; p. 112093. [Google Scholar]
- Xie, Z.L.; Ma, H.T.; Qi, B.; Ren, G.; Shi, J.L.; He, X.J.; Tan, Y.F.; Dong, L.; Wang, Z.P. Experimental demonstration of enhanced resolution of a Golay3 sparse-aperture telescope. Chin. Opt. Lett. 2017, 15, 041101. [Google Scholar] [CrossRef] [Green Version]
- Xie, Z.L.; Ma, H.T.; He, X.J.; Qi, B.; Ren, G.; Dong, L.; Tan, Y.F. Adaptive piston correction of sparse aperture systems with stochastic parallel gradient descent algorithm. Opt. Express 2018, 26, 9541–9551. [Google Scholar] [CrossRef] [PubMed]
- Liu, Y.; Xie, Z.L.; Ma, H.T.; Chu, J.Q.; Ma, X.F.; Tan, Y.F.; Dun, L.; Bian, J.; Hu, H.Y.; Fan, B.; et al. Wide-band high-resolution synthetic imaging of a segmented large-scaled lightweight diffractive telescope. Opt. Lett. 2020, 45, 1790–1793. [Google Scholar] [CrossRef]
- Xue, J.W.; Jiang, A.M.; Wang, S.; Wang, J.Y.; Dai, Y.F.; Dong, Z.C. Design and experimental demonstration of pointing correction module for a Fizeau imaging interferometer. Appl. Opt. 2018, 57, 9936–9943. [Google Scholar] [CrossRef] [PubMed]
- Jiang, A.M.; Dong, Z.C.; Xue, J.W.; Dai, Y.F.; Wang, S.; Wang, J.Y. Detection and closed-loop control of piston errors for a Fizeau imaging interferometer. Appl. Opt. 2020, 59, 3892–3900. [Google Scholar] [CrossRef]
- Wu, Q.Y.; Fan, J.L.; Chen, B.H.; Chen, L.; Hou, Y.W. Optical imaging for Goaly3 Multi-mirror telescope system. OPTICS AND Laser Technol. 2022, 156, 108464. [Google Scholar] [CrossRef]
- Vievard, S.; Cassaing, F.; Mugnier, L.M.; Bonnefois, A.; Montri, J. Real-time full alignment and phasing of multiple-aperture imagers using focal-plane sensors on unresolved objects. In Proceedings of the Space Telescopes and Instrumentation 2018: Optical, Infrared, and Millimeter Wave, Austin, TX, USA, 10–15 June 2018. [Google Scholar]
- Vievard, S.; Cassaing, F.; Mugnier, L.M. Large amplitude tip/tilt estimation by geometric diversity for multiple-aperture telescopes. J. Opt. Soc. Am. A-Opt. Image Sci. Vis. 2017, 34, 1272–1284. [Google Scholar] [CrossRef] [PubMed] [Green Version]
- Schwarze, C. A New Look at Risley Prisms. Photonics Spectra 2006, 40, 67–70. [Google Scholar]
- Marshall, G.F. Risley prism scan patterns. Proc. SPIE-Int. Soc. Opt. Eng. 1999, 3787. [Google Scholar]
- Ostaszewski, M.; Harford, S.; Doughty, N.; Hoffman, C.; Sanchez, M. Risley prism beam pointer. Proc. Soc. Photo-Opt. Instrum. Eng. 2006, 6304, 630406. [Google Scholar]
- García-Torales, G.; Flores, J.L.; Mu?Oz, R.X.; Gutiérrez-Vega, J.; Dávila-Rodríguez, J.; López-Mariscal, C. High precision prism scanning system. Int. Soc. Opt. Photonics 2007, 6422, 64220X. [Google Scholar]
- Li, A.; Ding, Y.; Bian, Y.; Liu, L. Inverse solutions for tilting orthogonal double prisms. Appl. Opt. 2014, 53, 3712–3722. [Google Scholar] [CrossRef] [PubMed]
- Duma, V.-F.; Dimb, A.-L. Exact Scan Patterns of Rotational Risley Prisms Obtained with a Graphical Method: Multi-Parameter Analysis and Design. Appl. Sci. 2021, 11, 8451. [Google Scholar] [CrossRef]
- Zhu, X.; Elgin, D. Laser safety in design of near-infrared scanning LIDARs. In Proceedings of the Society of Photo-Optical Instrumentation Engineers Conference Series, Baltimore, MD, USA, 9 May 2015. [Google Scholar]
- Yuan, Z.; Lu, Y.; Mo, H.; Liu, G.; Fan, D. Pointing error analysis of Risley-prism-based beam steering system. Appl. Opt. 2014, 53, 5775–5783. [Google Scholar]
- Li, J.Y.; Qi, P.; Ke, C.; Fu, C.Y. High precision pointing system based on Risley prism: Analysis and simulation. Int. Soc. Opt. Photonics 2015, 9255. [Google Scholar]
- Li, J.; Ke, C.; Qi, P.; Wang, Z.; Yang, J.; Fu, C.; Ge, R. Improvement of pointing accuracy for Risley prisms by parameter identification. Appl. Opt. 2017, 56, 7358. [Google Scholar] [CrossRef]
- Li, A.; Li, Q.; Liu, X.; Zhang, Y.; Zhao, Z. Investigation of Inverse Solutions for Tilting Orthogonal Double Prisms in Laser Pointing With Submicroradian Precision. J. Light. Technol. 2020, 38, 1341–1349. [Google Scholar] [CrossRef]
- Zhou, Y.; Lu, Y.; Hei, M.; Liu, G.; Fan, D. Motion control of the wedge prisms in Risley-prism-based beam steering system for precise target tracking. Appl. Opt. 2013, 52, 2849–2857. [Google Scholar] [CrossRef]
- Lai, S.-F.; Lee, C.-C. Analytic inverse solutions for Risley prisms in four different configurations for positing and tracking systems. Appl. Opt. 2018, 57, 10172–10182. [Google Scholar] [CrossRef]
- Zhou, Y.; Chen, Y.; Sun, L.; Hu, F.; Fan, S. Analysis on key issues of boresight adjustment in imaging tracking based on Risley prisms. Opt. Eng. 2020, 59, 123104. [Google Scholar] [CrossRef]
- Li, J.; Yuan, L.; Xia, H.; Huang, Y.; Ma, R.; Shi, J.; Wen, P.; Peng, C. Rotation matrix error-decoupling methods for Risley prism closed-loop tracking. Precis. Eng. 2022, 76, 66–74. [Google Scholar] [CrossRef]
- Yuan, L.; Li, J.; Huang, Y.; Ma, R.; Shi, J.; Wang, Q.; Wen, P.; Ma, H.; Li, M.; Wang, Z. High-precision closed-loop tracking of moving targets based on rotational double prisms. Opt. Eng. 2021, 60, 114107. [Google Scholar] [CrossRef]
- Xia, H.; Li, J.; Xia, Y.; Yuan, L.; Zhang, W.; Ma, H.; Wen, P. Multivariable Decoupling and Nonlinear Correction Method for Image-Based Closed-Loop Tracking of the Risley Prisms System. Micromachines 2022, 13, 2096. [Google Scholar] [CrossRef]
- Li, Y. Third-order theory of the Risley-prism-based beam steering system. Appl. Opt. 2011, 50, 679–686. [Google Scholar] [CrossRef]
- Li, Y. Closed form analytical inverse solutions for Risley-prism-based beam steering systems in different configurations. Appl. Opt. 2011, 50, 4302–4309. [Google Scholar] [CrossRef]
- Yang, Y. Analytic Solution of Free Space Optical Beam Steering Using Risley Prisms. J. Light. Technol. 2009, 26, 3576–3583. [Google Scholar] [CrossRef]
- Li, A.; Gao, X.; Sun, W.; Yi, W.; Liu, L. Inverse solutions for a Risley prism scanner with iterative refinement by a forward solution. Appl. Opt. 2015, 54, 9981. [Google Scholar] [CrossRef]
- Yuan, L.; Li, J.; Huang, Y.; Wen, P.; Shi, J.; Xia, H.; Ma, R. Analytical inverse solution of a rotational achromatic Risley prism based on Fourier series fitting. Precis. Eng. 2023, 80, 20–29. [Google Scholar] [CrossRef]
- Song, Y.; Gao, S.; Wu, J.; Wang, S.; Huo, L. Inverse Solution Error Analysis and Correction of Beam Steering System Based on Risley Prisms. Appl. Sci. 2022, 12, 1972. [Google Scholar] [CrossRef]
Error Term | T1 | T2 | T3 |
---|---|---|---|
(deg) | 270.83 | 55.12 | 336.10 |
(deg) | 332.24 | 107.96 | 307.04 |
(mrad) | −0.18 | −0.67 | −0.95 |
(mrad) | −2.02 | 2.74 | 2.69 |
0.01 | 0.01 | −0.01 | |
0.02 | −0.01 | −0.01 |
Apertures | |||
---|---|---|---|
T1 | 3.83 | 3.86 | 5.44 |
T2 | 5.53 | 4.51 | 7.14 |
T3 | 6.84 | 4.55 | 8.22 |
Velocity (°/s) | Aperture | |||
---|---|---|---|---|
0.001 | T1 | 1.51 | 0.79 | 1.70 |
T2 | 1.98 | 0.94 | 2.19 | |
T3 | 2.35 | 0.76 | 2.47 | |
0.01 | T1 | 2.06 | 3.69 | 4.23 |
T2 | 2.10 | 2.07 | 2.95 | |
T3 | 2.38 | 1.07 | 2.61 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Yuan, L.; Shi, J.; Huang, Y.; Li, J.; Wen, P.; Ma, H.; Li, Y.; Xia, H.; Tu, Q.; Ma, R. Demonstration of a Fizeau Directly-Imaging Sparse-Aperture Telescope with Pointing and Tracking Capabilities. Micromachines 2023, 14, 569. https://doi.org/10.3390/mi14030569
Yuan L, Shi J, Huang Y, Li J, Wen P, Ma H, Li Y, Xia H, Tu Q, Ma R. Demonstration of a Fizeau Directly-Imaging Sparse-Aperture Telescope with Pointing and Tracking Capabilities. Micromachines. 2023; 14(3):569. https://doi.org/10.3390/mi14030569
Chicago/Turabian StyleYuan, Liangzhu, Jianliang Shi, Yongmei Huang, Jinying Li, Piao Wen, Haotong Ma, Yang Li, Huayang Xia, Qiong Tu, and Rongqi Ma. 2023. "Demonstration of a Fizeau Directly-Imaging Sparse-Aperture Telescope with Pointing and Tracking Capabilities" Micromachines 14, no. 3: 569. https://doi.org/10.3390/mi14030569