Algorithm for Estimating Pointing Error of Large Dual-reflector Antenna

Wei Shanxiang; Wang Qiming; Kong Deqing; Zhao Baoqing; Zhu Ming; Wang Qingmei

Astronomical Research and Technology > 2020 > 17(4): 513-521.

Wei Shanxiang, Wang Qiming, Kong Deqing, Zhao Baoqing, Zhu Ming, Wang Qingmei. Algorithm for Estimating Pointing Error of Large Dual-reflector Antenna[J]. Astronomical Research and Technology, 2020, 17(4): 513-521.

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Algorithm for Estimating Pointing Error of Large Dual-reflector Antenna

1. National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, China;
2. University of Chinese Academy of Sciences, Beijing 100049, China;
3. Key Laboratory of FAST, Chinese Academy of Sciences, Beijing 100101, China;
4. Key Laboratory of Lunar and Deep Space Exploration, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, China

More Information

Received Date: February 15, 2020
Revised Date: March 11, 2020
Available Online: November 20, 2023

Graphical Abstract

Abstract

Abstract

Considering the impact of antenna's deformation coupling on the accuracy of pointing error estimation, an algorithm for estimating pointing error of large dual-reflector antenna is proposed based on geometric optics. A model for estimating pointing error of deformed dual-reflector antenna is deduced by establishing mathematical models for the best-fit paraboloid, the offset sub-reflector, and the feed based on the original coordinate system, calculating the radiation areas of reflector, and determining the weighting factor of pointing error. In order to verify this algorithm, the pointing errors for multiple virtual deformation conditions of a 70 m antenna under construction are estimated by this model, the results of which are compared with the results estimated by Beam Deviation Factor (BDF) algorithm and electromagnetic simulation algorithm. The final results show that the pointing errors estimated by the model are coincident well with the results of electromagnetic simulation algorithm and BDF algorithm, and the proposed algorithm is correct. The algorithm provides a theoretical basis for analyzing the effect of antenna's deformation coupling on the accuracy of pointing error estimation, and improves the accuracy of pointing error estimation for antenna to some degree.
- Pointing error estimation,
- Large dual-reflector antenna,
- Deformation coupling,
- Geometric optics

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References (15)

References

[1]	BOLLI P, ORFEI A, ZANICHELLI A, et al. An international survey of front-end receivers and observing performance of telescopes for radio astronomy[J]. Publications of the Astronomical Society of the Pacific, 2019, 131:085002.
[2]	温浩兴,许谦,王娜.南山26米射电望远镜轨道高差测量及其对指向精度的影响[J].天文研究与技术, 2019, 16(2):158-166.
[3]	RANKA T, GARCIA-SANZ M, SYMMES A, et al. Dynamic analysis of the Green Bank Telescope structure and servo system[J]. Journal of Astronomical Telescopes, Instruments and Systems, 2016, 2(1):014001.
[4]	许谦,侯晓拯,王娜.大口径天线非线性特性动态补偿方法研究[J].中国科学:物理学力学天文学, 2019, 49(9):099504.
[5]	段宝岩.电子装备机电耦合理论、方法及其应用[M].北京:科学出版社, 2011.
[6]	WANG Q M, JIANG P, KONG X. The effects of structural parameter variation on cable force of fast cable-net structure[J]. Advances in Mechanical Engineering, 2015, 6:912158.
[7]	汪赞,孔德庆,陈志平.大型射电望远镜面形精度测量方法研究综述[J]天文研究与技术, 2020, 17(1):52-59.
[8]	KONG D Q, WANG S G, WANG J Q, et al. A new calibration model for pointing a radio telescope that considers nonlinear errors in the azimuth axis[J]. Research in Astronomy and Astrophysics, 2014, 14(6):733-740.
[9]	RUZE J. Lateral-feed displacement in a paraboloid[J]. IEEE Transactions on Antennas and Propagation, 1965, 13(5):660-665.
[10]	连培园,段宝岩,王伟,等.远场反推变形反射面天线馈源调整量[J].西安电子科技大学学报, 2014, 41(5):105-111.
[11]	DEVIKA S V, KARKI K, KOTAMRAJU S, et al. A new computation method for pointing accuracy of cassegrain antenna in satellite communication[J]. Journal of Theoretical and Applied Information Technology, 2017, 95(13):3062-3074.
[12]	ZHANG J, HUANG J, LIANG W, et al. A correction method of estimating the pointing error for reflector antenna[J]. Shock and Vibration, 2018, 2018:3262869.
[13]	BAN Y, WANG C S, FENG S F, et al. B-spline surface fitting and simplified GO/PO analysis of subreflector correction for large Cassegrain antenna distortion compensation[J]. Research in Astronomy and Astrophysics, 2018, 18(7):55-64.
[14]	RAHMAN N A, ISLAM M, MISRAN N, et al. Analysis of the BDF using caustics of parabolic reflector antennas[C]//Proceedings of the 2013 Asia-Pacific Microwave Conference. 2013:1064-1066.
[15]	BAARS J W M. The paraboloidal reflector antenna in radio astronomy and communication:theory and practice[M]. Berlin:Springer, 2007.

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