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A surface deformation measurement algorithm for reflector antennas based on complex geometrical optics

Published online by Cambridge University Press:  14 July 2022

Boyang Wang Open the ORCID record for Boyang Wang [Opens in a new window] ,
Qian Ye ,
Li Fu ,
Guoxiang Meng ,
Qinghui Liu  and
Zhiqiang Shen
Boyang Wang
Affiliation:
School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China
Qian Ye*
Affiliation:
School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
Li Fu
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
Guoxiang Meng
Affiliation:
School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China
Qinghui Liu
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
Zhiqiang Shen
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
*
Author for correspondence: Qian Ye, E-mail: yeqian@shao.ac.cn
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Abstract

This paper presents a new method to reveal the relation between the surface deformation and near-field amplitude of a reflector antenna based on complex geometrical optics, which could be used as an efficient way to estimate the antenna surface verified by simulation results. The measurement process based on this method is envisaged to be realized by a single scanning of the near-field amplitude which would overcome many limitations of radio holography and phase retrieval methods such as the frequency and elevation. The largest source of error in the original deformation-amplitude equation (DAE) has been corrected by considering the Gaussian feed as a complex point source. To track the ray trajectory so that the improved DAE could be solved, an iteration method including a golden section search algorithm is designed to make the solution converge. By solving the modified DAE, simulation result shows that a more accurate solution could be obtained, and the antenna surface could be recovered to a root mean square error of under 30 microns.

Keywords

Geometrical opticsray tracingreflector antennassurface deformation,
Type
Microwave Measurements
Information
International Journal of Microwave and Wireless Technologies , Volume 15 , Issue 3 , April 2023 , pp. 454 - 464
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press in association with the European Microwave Association

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References

Rahmat-Samii, Y (1984) Surface diagnosis of large reflector antennas using microwave holographic metrology: an iterative approach. Radio Science 19, 1205–1217.CrossRefGoogle Scholar
Prestage, RM, Constantikes, KT, Hunter, TR, King, LJ, Lockman, FJ and Norrod, RD (2009) The Green Bank Telescope. Proceedings of the IEEE 97, 1382–1390.CrossRefGoogle Scholar
Yaccarino, RG and Rahmat-Samii, Y (1997) Phase retrieval antenna diagnostics for bi-polar planar near-field antenna measurements. IEEE Antennas and Propagation Society International Symposium 1997 Digest. IEEE 2, 1472–1475.Google Scholar
Greve, A and Morris, D (2005) Repetitive radio reflector surface deformations. IEEE Transactions on Antennas and Propagation 53, 2123–2126.CrossRefGoogle Scholar
Rahmat-Samii, Y (1985) Microwave holography of large reflector antennas – simulation algorithms. IEEE Transactions on Antennas and Propagation 33, 1194–1203.CrossRefGoogle Scholar
Morris, D and Barrs, JWM (1988) Radio holographic reflector measurement of the 30-m millimeter radio telescope of 22 GHz with a cosmic signal source. Astronomy and Astrophysics 203, 399–406.Google Scholar
Morris, D (1996) Simulated annealing applied to the Misell algorithm for phase retrieval. IEEE Proceedings-Microwaves, Antennas and Propagation 4, 298–303.CrossRefGoogle Scholar
Nikolic, B, Prestage, RM and Balser, DS (2007) Out-of-focus holography at the Green Bank Telescope. Astronomy and Astrophysics (Berlin) 465, 685–693.CrossRefGoogle Scholar
Jin, HL, Huang, JH, Ye, Q and Meng, G (2019) Phase retrieval exact solution based on structured window modulation without direct reference waves. Optics and Lasers in Engineering 122, 89–96.CrossRefGoogle Scholar
Huang, J, Huiliang, J, Ye, Q and Meng, G (2017) Surface deformation recovery algorithm for reflector antennas based on geometric optics. Optics Express 25, 24346.CrossRefGoogle ScholarPubMed
McEwan, NJ and Goldsmith, PF (1989) Gaussian beam techniques for illuminating reflector antennas. IEEE Transactions on Antennas and Propagation 37, 297–304.CrossRefGoogle Scholar
Keller, JB and Streifer, W (1971) Complex Rays with an Application to Gaussian Beams, J. Journal of the Optical Society of America A, 61, 40–43.CrossRefGoogle Scholar
Felsen, LB (1976) Complex-source-point solutions of the field equations and their relation to the propagation and scattering of Gaussian beams. Symposia Mathematica, Instituto Nazionale di Alta Matematica. Academic Press, pp. 39–56.Google Scholar
Ra, JW, Bertoni, HL and Felsen, LB (1973) Reflection and transmission of beams at a dielectric interface. SIAM Journal on Applied Mathematics 24, 396–413.CrossRefGoogle Scholar
Hanyga, A (1986) Gaussian beams in anisotropic elastic media. Geophysical Journal International 85, 473–504.CrossRefGoogle Scholar
Červený, V and Pšenčík, I (2010) Gaussian beams in inhomogeneous anisotropic layered structures. Geophysical Journal International 180, 798–812.CrossRefGoogle Scholar
Ghione, G, Montrosset, I and Felsen, L (1984) Complex ray analysis of radiation from large apertures with tapered illumination. IEEE Transactions on Antennas and Propagation, 32, 684–693.CrossRefGoogle Scholar
Hasselmann, F and Felsen, L (1982) Asymptotic analysis of parabolic reflector antennas. IEEE Transactions on Antennas and Propagation, 30, 677–685.CrossRefGoogle Scholar
Zong, BF, Zeng, HY, Cao, NS and Geng, L (2020) Radiation patterns analysis of monopulse antenna system. Procedia Computer Science 166, 401–405.CrossRefGoogle Scholar
Min, G, Feng, Y, Xuewu, C and Rui, W (2018) Geometrical optics-based Ray field tracing method for complex source beam applications. Chinese Physics B 27, 184–190.Google Scholar
Ruan, YZ and Felsen, LB (1986) Reflection and transmission of beams at a curved interface. Journal of the Optical Society of America. A: Optics, Image Science and Vision 3, 566–579.CrossRefGoogle Scholar
Stutzman, WL and Thiele, GA (2013) Antenna Theory and Design. Hoboken, NJ: Wiley.Google Scholar
Nocedal, J, Wright, SJ and O. S. SpringerLink (2006) Numerical Optimization. New York: Springer.Google Scholar
Qian, Y (2021) Deformation measurement by single spherical near-field intensity measurement for large reflector antenna. Research in Astronomy and Astrophysics 10, 258.Google Scholar