Far-Field Pattern Tolerance Analysis of Reflector Antenna with Random or System Error Based on Interval Arithmetic

LI Peng; LI Na; XU Wanye; WANG Wei

doi:10.1049/cje.2018.03.002

Volume 27 Issue 3

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LI Peng, LI Na, XU Wanye, et al., “Far-Field Pattern Tolerance Analysis of Reflector Antenna with Random or System Error Based on Interval Arithmetic,” Chinese Journal of Electronics, vol. 27, no. 3, pp. 641-647, 2018, doi: 10.1049/cje.2018.03.002

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LI Peng, LI Na, XU Wanye, et al., “Far-Field Pattern Tolerance Analysis of Reflector Antenna with Random or System Error Based on Interval Arithmetic,” Chinese Journal of Electronics, vol. 27, no. 3, pp. 641-647, 2018, doi: 10.1049/cje.2018.03.002

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Far-Field Pattern Tolerance Analysis of Reflector Antenna with Random or System Error Based on Interval Arithmetic

doi: 10.1049/cje.2018.03.002

Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi'an 710071, China

Funds: This work is supported by the National Natural Science Foundation of China (No.51475348, No.51605362), Natural Science Basic Research Plan in Shaanxi Province (No. 2016JQ5021), the Fundamental Research Funds for the Central Universities, and the National 111 Project.

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Corresponding author: LI Na (corresponding author) was born in 1982. She received the Ph.D. degree from Xidian University, China, in 2012. She is now an associate professor at Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, China. Her research interests include surface error modeling, surface error reconstruction and the functionality design of the surface. (E-mail:lina@mail.xidian.edu.cn)
Received Date: 2017-01-06
Rev Recd Date: 2017-05-04
Publish Date: 2018-05-10

Abstract

Abstract

A novel analytic approach for the research of effect on electromagnetic performance of reflector antennas with deformation, including random processing error and system error caused by external loads (such as wind, gravity, and solar radiation), in panels of the reflector surface is proposed. The deformations are modeled as error intervals, and their impact on the electromagnetic performance, including radiation power pattern and some main electromagnetic characteristics (such as side lobe level, peak power, and half-power beamwidth), are efficiently estimated by Interval analysis (IA). The closed-form equations indicate the relationship between the error interval and the bounds (upper and lower bounds) of the radiated power pattern interval by exploiting the rules of interval arithmetic. Two kinds of surface errors (random and system error) and two shapes of deformation area (bump-like and sector) are taken into account in the numerical examples to assess the validation and effectiveness of the proposed approach. The results of the examples show that the proposed IA-based approach has great capability and effectiveness regarding the traditional statistical method (such as Monte-Carlo method).
- Reflector antenna,
- Interval analysis,
- Random error,
- System error,
- Power pattern

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References(26)

References

J. Ruze, "The effect of aperture errors on the antenna radiation pattern", Ⅱ Nuovo Cimento (1943-1952), Vol.9, No.3, pp.364-380, 1952.

J. Ruze, "Antenna tolerance theory-A review", Proceedings of the IEEE, Vol.54, No.4, pp.633-642, 1966.

Y. Rahmat-Samii, "An efficient computational method for characterizing the effects of random surface errors on the average power pattern of reflectors", IEEE Transactions on Antennas and Propagation, Vol.31, No.1, pp.92-98, 1983.

Y. Rahmat-Samii, "Effect of deterministic surface errors on reflector antenna performance", Annals des Télécommunications, Vol.40, No.7-8, pp.350-360, 1985.

S.C. Wu and Y. Rahmat-Samii, "Average pattern and beam efficiency characterization of reflector antenna with random surface errors", Journal of Electromagnetic Waves and Applications, Vol.5, No.10, pp.1069-1087, 1991.

S. Sinton and Y. Rahmat-Samii, "Radom surface error effects on offset cylindrical reflector antennas", IEEE Transactions on Antennas and Propagation, Vol.51, No.6, pp.1331-1337, 2003.

K. Bahadori and Y. Rahmat-Samii, "Characterization of effects of periodic and aperiodic surface distortions on membrane reflector antennas", IEEE Transactions on Antennas and Propagation, Vol.53, No.9, pp.2782-2791, 2005.

A. Miura and Y. Rahmat-Samii, "Spaceborne mesh reflector antennas with complex weaves:Extended PO/Periodic-MoM analysis", IEEE Transactions on Antennas and Propagation, Vol.55, No.4, pp.1022-1029, 2007.

B.Y. Duan and C.S. Wang, "Reflector antenna distortion using MEFCM", IEEE Transactions on Antennas Propagation, Vol.57, No.10, pp.3409-3413, 2009.

P. Li, B.Y. Duan, W. Wang, et al., "Electromechanical coupling analysis of ground reflector antennas under solar radiation", IEEE Antennas and Propagation Magazine, Vol.54, No.5, pp.40-57, 2012.

G.J. Leng and B.Y. Duan, "Topology optimization of planar truss structures with continuous element intersection and node stability constraints", Proceedings of the Institution of Mechanical Engineers Part C:Journal of Mechanical Engineering Science, Vols.203-210, No.226.7, pp.1821-1831, 2012.

P. Li, N. Li, W.Y. Xu, et al., "Phase compensation of composite material radomes based on the radiation pattern", Chinese Journal of Mechanical Engineering, Vol.30, No.3, pp.587-594, 2017.

M. Wang, W. Wang, C.S. Wang, et al., "A practical approach to evaluate the effects of machining errors on the electrical performance of reflector antennas based on paneled forms", IEEE Antennas and Wireless Propagation Letters, Vol.13, pp.1341-1344, 2014.

W. Wang, B.Y. Duan, P. Li, et al., "Optimal surface adjustment by the error-transformation matrix for a segmented-reflector antenna", IEEE Antennas and Propagation Magazine, Vol.52, No.3, pp.80-87, 2010.

G. Saxena and D.A. Lowther, "The use of interval mathematics in electromagnetic design", IEEE Transactions on Magnetics, Vol.37, No.5, pp.3588-3591, 2001.

P. Rocca, M. Carlin, L. Mancia, et al., "Microwave imaging within the interval analysis framework", Progress in Electromagnetic Research, Vol.143, pp.675-708, 2013.

N. Anselmi, L. Mancia, P. Rocca, et al., "Tolerance analysis of antenna arrays through interval arithmetic", IEEE Transactions on Antennas and Propagation, Vol.61, No.11, pp.5496-5507, 2013.

L. Poli, P. Rocca, N. Anselmi, et al., "Dealing with uncertainties on phase weighting of linear antenna arrays by means of interval-based tolerance analysis", IEEE Transactions on Antennas and Propagation, Vol.63, No.7, pp.3229-3234, 2015.

L. Manica, N. Anselmi, P. Rocca, et al., "Robust maskconstrained linear array synthesis through an interval-based particle SWARM optimization", IET Microwaves, Antennas & Propagation, Vol.7, No.12, pp.976-984, 2013.

P. Rocca, N. Anselmi and A. Massa, "Interval arithmetic for pattern tolerance analysis of parabolic reflector", IEEE Transactions on Antennas and Propagation, Vol.62, No.10, pp.4952-4960, 2014.

P. Rocca, L. Manica and A. Massa, "Interval-based analysis of pattern distortions in reflector antennas with bump-like surface deformations", IET Microwaves, Antennas & Propagation, Vol.8, No.15, pp.1277-1285, 2014.

N. Anselmi, M. Salucci, P. Rocca, et al., "Generalized intervalbased analysis tool for pattern distortions in reflector antennas with bump-like surface deformations", IET Microwaves, Antennas & Propagation, Vol.10, No.9, pp.909-916, 2016.

Y.M. Wu and W.C. Chew, "The modern high frequency techniques for solving electromagnetic scattering problems", Progress in Electromagnetics Research, Vol.156, pp.63-82, 2016.

Y.M. Wu, L. Jiang and W.C. Chew, "An efficient method for computing highly oscillatory physical optics integral", Progress in Electromagnetics Research, Vol.127, pp.211-257, 2012.

Y.M. Wu, L. Jiang and W.C. Chew, "The numerical steepest descent path method for calculating physical optics integrals on smooth conducting quadratic surfaces", IEEE Transactions on Antennas and Propagation, Vol.61, No.8, pp.4183-4193, 2013.

R.E. Moore, Methods and applications of interval analysis, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, USA, 1979.

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