Abstract
In this paper, the wavefront perturbation method based on power detection of radio sources is used to measure the surface error of the Tianma radio telescope. By measuring the surface errors at different elevation angles, a surface compensation model to correct gravitational deformation is established. Observation results shows that the efficiency reduction caused by the gravitational deformation can be effectively compensated by loading this model on the active surface, especially at high and low elevations. A dual-beam calibration scheme is further used to remove atmospheric background fluctuations, which significantly improves data quality at lower elevations. The form and order of the perturbation modes and data processing are optimized to improve measurement accuracy. This paper presents the first attempt to apply the wavefront perturbation method to large radio telescopes and demonstrates its capacity and effectiveness in telescope runtime surface measurement and maintenance.
Similar content being viewed by others
Availability of data and materials
The datasets used and analysed during the current study are available from the corresponding author on reasonable request.
References
Wang, J.Q., et al.: Antenna Performance Measurements in Ku, K, Ka, and Q Bands for the TM65 m Radio Telescope. Acta Astron. Sin. 58(4), 37(1–16) (2017)
Dong, J., et al.: Correcting Gravitational Deformation at the Tianma Radio Telescope. IEEE Trans. Antennas Propag. 6(4), 2044–2048 (2018)
Wang, J.Q., et al.: Sub-reflector model depending on elevations and performance evaluation for TM65 m radio telescope. Sci. Sin. Phys. Mech. Astron. 44(11), 1232–1240 (2014)
Rochblatt, D.J.: “Systems Analysis for DSN Microwave Antenna Holography”. TDA Progress Report, pp. 42–96 (1988)
Rochblatt, D.J., Rahmat-Samii, Y.: Effects of measurement errors on microwave antenna holography. IEEE Trans. Anten. Propag. 39, 933–942 (1991)
Rahmat-Samii, Y.: Surface diagnosis of large reflector antennas using microwave holographic metrology: An iterative approach. Radio Sci. 19, 1205–1217 (1984)
Baars, J.W.M., Lucas, R., Mangum, J.G., et al.: Near-field radio holography of large reflector antennas. IEEE Anten. Propag. Mag. 49, 24–41 (2007)
Nikolic, B., Hills, R.E., Richer, J.S.: Measurement of Antenna Surfaces from In-and Out-of-Focus Beam Maps using Astronomical Sources. Astron. Astrophys. 465(2), 679–683 (2007)
Morris, D.: Phase retrieval in the radio holography of reflector antennas and radio telescopes. IEEE Trans. Antennas Propag. 33(7), 749–755 (1985)
Prestage, R.M.: “The Green Bank Telescope”. Proc. SPIE, Ground-based and Airborne Telescopes. vol. 6267, pp. 626712(1–15) (2006)
Nikolic, B., Prestage, R.M., Balser, D.S.: Out-Of-Focus Holography at the Green Bank Telescope. Astron. Astrophys. 465(2), 685–693 (2007)
Antebi, J., Zarghamee, M.S.: “ A deformable subreflector for the Haystack Radio telescope”. Antennas and Propagation Society International Symposium, (1992)
Sun, Z.X., Wang, J.Q., Chen, L.: Subreflector model depending on elevation for the Tianma 65 m Radio Telescope. Res. Astron. Astrophys. 16(8), 119(1–8) (2016)
Wang, J.Q., et al.: Active sub-reflector research for a large radio telescope. Res. Astron. Astrophys. 20(1), (2020)
Hoppe, D.J.: “A study of deformable-mirror performance versus actuator distribution using and influence function model”. IPN progress Report, pp. 42–147, (2001)
Hoppe, D.J.: “The sensitivity of main-reflector-distortion compensation to deformable mirror position”. TMO progress report, pp. 42–145 (2001)
Lou, Z., et al.: Reflector surface alignment based on antenna gain measurements under perturbations. J. Astron. Telesc. Instrum. Syst. 5(2), 024003(1–11) (2019)
Ruze, J.: Antenna tolerance theory–a review. Proc. IEEE 5(4), 633–640 (1966)
Wallace, J.K., et al.: Phase-shifting Zernike interferometer wavefront sensor. SPIE, Proc (2011)
Funding
This work was supported by the National Key R &D Program of China (No.2018YFA0404702, 2019YFA0708904, No.2021YFC2203501), Shanghai Key Laboratory of Space Navigation and Positioning Techniques, the National Natural Science Foundation of China (Grant No. 12273097).
Author information
Authors and Affiliations
Contributions
Jinqing Wang and Zheng Lou wrote the main manuscript text. Jinqing Wang made the arrangement of the experiments. Zheng Lou did the data anysis and calibration. Yongbin Jiang have write the control software to do the experiment. Zhengxiong Sun have prepared the manuscript formate and figures.Linfeng Yu,Yongchen Jiang,Rongbin Zhao and Li fu have done the observation. Weiye Zhong designed and fabricated the Q band receiver. Shengcai Shi, Qinghui Liu and Yingxi Zuo have give much advice for the title , figures and abstract. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that the publication of this paper has no conflicts of interest.
Competing interests
The authors declare no competing interests.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wang, J., Lou, Z., Jiang, Y. et al. The measurement and modeling of gravitational deformation for large radio telescope based on wavefront perturbation method. Exp Astron 56, 779–792 (2023). https://doi.org/10.1007/s10686-023-09917-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10686-023-09917-5