-
摘要: 空间引力波探测中为实现引力波信号科学测量,卫星发射到预定轨道后需首先完成百万公里级激光链路的构建。同时为保证引力波信号不会被激光指向噪声淹没,激光指向稳定性需达到nrad/
量级。为此需设计一套复杂而精密的激光指向调控方案。本文以太极计划为背景,详细阐述了可采用的指向调控方案。拟将整个过程将分为两个阶段,首先进行激光捕获过程,在该过程中,使用星敏感器(STR)与电荷耦合器件(CCD)作为辅助捕获探测器,将激光指向不确定区域控制到μrad量级。之后进行激光精密指向过程,利用差分波前敏感测角(DWS)技术对激光指向稳定性进行控制。根据太极计划要求,对各阶段捕获探测器提出了视场及精度要求,并论述了采用DWS技术实现精密指向的可行性。相关结论可为未来的验证实验奠定理论基础,对太极计划指向系统构建提供参考。Abstract: To realize scientific measurement of gravitational waves in the space gravitational wave detection, after launching into a predetermined orbit, the satellites must first construct a 100-km laser link. Furthermore, to prevent the gravitational wave signal from being flooded by laser pointing noise, the laser pointing stability must reach a magnitude of nrad/ . Therefore, a sophisticated laser pointing scheme has to be adopted. In this paper, based on the Taiji program, we will discuss the design of such a scheme, which can be divided into two phases. Laser acquisition will be the first process. A star sensor(STR) and a charge coupled device(CCD) will be used as auxiliary capture detectors to decrease the laser pointing uncertainty region to sub-μrad levels. After that will be the laser fine pointing process, which uses differential wavefront sensitive(DWS) technology to accurately control pointing direction. The requirements of the acquisition sensors will be proposed based on the Taiji program while the feasibility of the DWS technique in the laser fine pointing phase will be discussed. The conclusions of this paper can be regarded as the basis and principle of related experiments and will give a reference for system construction in the laser pointing scheme of the Taiji program.-
Key words:
- Taiji program /
- gravitational wave /
- laser acquisition /
- fine pointing
-
表 1 矫正过程不确定区域的误差预算
Table 1. Error budget of uncertain areas in correction process
误差项 平面内误差/μrad 平面外误差/μrad STR与卫星矫正误差 50 50 望远镜与卫星矫正误差 50 50 望远镜与望远镜指向驱动器矫正误差 25 25 望远镜指向驱动器绝对位置误差 0.5 0 飞船姿态的长期项漂移 30 30 望远镜平面内指向角相对飞船的长期项漂移 0.01 0 总计(线性和) 155.5 155 表 2 CCD捕获过程不确定区域的误差预算
Table 2. Error budget of uncertain area in CCD acquisition process
误差项 误差值/μrad 导航误差 11.9 望远镜视线矫正残余误差 5 视线与输出光束角度误差 1 卫星姿态长期项漂移 5 望远镜平面内指向角相对飞船的长期项漂移 1 总计(线性和) 23.9 表 3 QPD捕获过程不确定区域的误差预算
Table 3. Error budget of uncertain area in QPD acquisition process
误差项 误差值/μrad CCD捕获精度 0.04 卫星姿态与望远镜平面内指向角短期项抖动 0.1 QPD与CCD位置矫正偏差 1 总计(线性和) 1.14 表 4 太极计划各级指向探测器要求
Table 4. Performance requirements of point sensors at various levels in Taiji program
STR CCD QPD 视场 0.35 rad 200 μrad 1.5 μrad 精度 5 μrad (RMS 3σ) 40 nrad (RMS 3σ) 10 nrad/ -
[1] HU W R, WU Y L. The Taiji program in space for gravitational wave physics and the nature of gravity[J]. National Science Review, 2017, 4(5):685-686. doi: 10.1093/nsr/nwx116 [2] JIN G. Program in space detection of gravitational wave in Chinese Academy of Sciences[J]. Journal of Physics:Conference Series, 2017, 840(1):012009. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=IOP_9343271 [3] 罗子人, 白姗, 边星, 等.空间激光干涉引力波探测[J].力学进展, 2013, 43(4):415-447. http://d.old.wanfangdata.com.cn/Periodical/twxjz201501004LUO Z R, BAI SH, BIAN X, et al.. Gravitational wave detection by space laser interferometry[J]. Advances in Mechanics, 2013, 43(4):415-447.(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/twxjz201501004 [4] 黄双林, 龚雪飞, 徐鹏, 等.空间引力波探测——天文学的一个新窗口[J].中国科学:物理学力学天文学, 2017, 47(1):010404. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgkx-cg201701004HUANG SH L, GONG X F, XU P, et al.. Gravitational wave detection in space—a new window in astronomy[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2017, 47(1):010404.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgkx-cg201701004 [5] CIRILLO F, GATH P F. Control system design for the constellation acquisition phase of the LISA mission[J]. Journal of Physics:Conference Series, 2009, 154(1):012014. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=Open J-Gate000000588624 [6] CIRILLO F. Controller design for the acquisition phase of the LISA mission using a Kalman filter[D]. Pisa: Universitàdi Pisa, 2007. [7] HYDE T T, MAGHAMI P G, MERKOWITZ S M. Pointing acquisition and performance for the laser interferometry space antenna mission[J]. Classical and Quantum Gravity, 2004, 21(5):S635-S640. doi: 10.1088/0264-9381/21/5/036 [8] JONO T, TOYODA M, NAKAGAWA K, et al.. Acquisition, tracking and pointing systems of OICETS for free space laser communications[J]. Proceedings of SPIE, 1999, 3692:41-50. doi: 10.1117/12.352886 [9] LUO Z R, WANG Q L, MAHRDT C, et al.. Possible alternative acquisition scheme for the gravity recovery and climate experiment follow-on-type mission[J]. Applied Optics, 2017, 56(5):1495-1500. doi: 10.1364/AO.56.001495 [10] WUCHENICH D M R, MAHRDT C, SHEARD B S, et al.. Laser link acquisition demonstration for the GRACE Follow-on mission[J]. Optics Express, 2014, 22(9):11351-11366. doi: 10.1364/OE.22.011351 [11] HECHENBLAIKNER G. Measurement of the absolute wavefront curvature radius in a heterodyne interferometer[J]. Journal of the Optical Society of America A, 2010, 27(9):2078-2083. doi: 10.1364/JOSAA.27.002078 [12] SHEARD B S, HEINZEL G, DANZMANN K, et al.. Intersatellite laser ranging instrument for the GRACE Follow-on mission[J]. Journal of Geodesy, 2012, 86(12):1083-1095. doi: 10.1007/s00190-012-0566-3 [13] 董玉辉.面向空间激光干涉引力波探测的精密指向和弱光锁相控制技术的研究[D].北京: 中国科学院大学, 2015.DONG Y H. Intersatellite interferometry: fine pointing and weak-light phase locking techniques for space gravitational wave observatory[D]. Beijing: University of Chinese Academy of Sciences, 2015.(in Chinese) [14] 梁斌, 朱海龙, 张涛, 等.星敏感器技术研究现状及发展趋势[J].中国光学, 2016, 9(1):16-29. http://www.chineseoptics.net.cn/CN/abstract/abstract9384.shtmlLIANG B, ZHU H L, ZHANG T, et al.. Research status and development tendency of star tracker technique[J]. Chinese Optics, 2016, 9(1):16-29.(in Chinese) http://www.chineseoptics.net.cn/CN/abstract/abstract9384.shtml [15] HYDE T T, MAGHAMIP G. Precision pointing for the laser interferometry space antenna mission[J]. Journal of the Astronautical Sciences, 2003, 113:497-508. http://cn.bing.com/academic/profile?id=12ddf90c1de61edfbd9be7f75d5d2d74&encoded=0&v=paper_preview&mkt=zh-cn