Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-10T22:03:06.213Z Has data issue: false hasContentIssue false
  • English
  • Français

Study on the optimal Zernike order in the phase parameterization for global phase retrieval algorithm

Published online by Cambridge University Press:  09 June 2020

Qian Ye ,
Yueshu Xu Open the ORCID record for Yueshu Xu [Opens in a new window]  and
Ahmad Hoorfar
Qian Ye*
Affiliation:
School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang District, Shanghai, China
Yueshu Xu
Affiliation:
School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang District, Shanghai, China
Ahmad Hoorfar
Affiliation:
Antenna Research Lab, Electrical and Computer Engineering Department, Villanova University, 800 E. Lancaster Ave, Villanova, PA, USA
*
Author for correspondence: Qian Ye, E-mail: yeqian@sjtu.edu.cn
Get access Rights & Permissions [Opens in a new window]

Abstract

Phase retrieval algorithm is an effective method to reconstruct the surface distortions for reflector antennas. As the traditional Fourier iterative algorithms usually stagnate at local minima, we previously proposed a global phase retrieval algorithm, named CMAES-HIO, based on the hybridization of hybrid-input-output algorithm and covariance matrix adaptation evolution strategy. We address the problem of selection of the Zernike order used in the phase parameterization for CMAES-HIO algorithm in this paper. By introducing a hybrid evaluation parameter, which combines the algorithm accuracy and time consumption, we utilize the Monte-Carlo method to simulate the algorithm performance under different random surface distortions. Simulation results show that for an unknown surface distortion, a Zernike order of 5 or 6 is probably the optimum for the comprehensive algorithm performance with respect to time and accuracy.

Keywords

Antenna designEM field theorymodeling and measurementsphase reconstruction
Type
Antenna Design, Modeling and Measurements
Information
International Journal of Microwave and Wireless Technologies , Volume 13 , Issue 3 , April 2021 , pp. 309 - 313
Check for updates
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Misell, DL (1973) A method for the solution of the phase problem in electron microscopy. Journal of Physics D (Applied Physics), 6, 6–9.CrossRefGoogle Scholar
Morris, D, Davis, JH and Mayer, C (1991) Experimental assessment of phase retrieval holography of radio telescope. Microwaves, Antennas and Propagation, 138, 243–247.CrossRefGoogle Scholar
Nishibori, T, Hirabayashi, H, Kobayashi, H, Murata, Y, Shimawaki, Y and Nomura, T (1996) Surface error measurements of large reflector antennas by phase retrieval holography – an application of extrapolation algorithm. Electronics and Communications in Japan (Part I: Communications), 79, 104–114.CrossRefGoogle Scholar
Bach, U (2014) Out of focus holography at effelsberg. In Proceedings of the 12th European VLBI Network Symposium and Users Meeting, Cagliari, Italy.Google Scholar
Xu, Y, Ye, Q and Hoorfar, A (2019) Surface reconstruction of large reflector antennas based on a hybrid of CMA-ES and HIO algorithms. 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Atlanta, GA, USA.CrossRefGoogle Scholar
Y., Rahmat-Samii (1985) Microwave holography of large reflector antennas simulation algorithms. IEEE Transactions on Antennas and Propagation, 33, 1194–1203.Google Scholar
Gerchberg, R (1974) Super-resolution through error energy reduction. Journal of Modern Optics, 21, 709–720.Google Scholar
Fienup, JR (1978) Reconstruction of an object from the modulus of its Fourier transform. Optics Letters, 3, 27.CrossRefGoogle ScholarPubMed
Fienup, JR (1982) Phase retrieval algorithms: a comparison. Applied Optics, 21, 2758–2769.CrossRefGoogle ScholarPubMed
BouDaher, E and Hoorfar, A (2015) Electromagnetic optimization using mixed-parameter and multiobjective covariance matrix adaptation evolution strategy. IEEE Transactions on Antennas and Propagation, 63, 1712–1724.CrossRefGoogle Scholar
Wang, JY and Silva, DE (1980) Wave-front interpretation with Zernike polynomials. Applied Optics, 19, 1510–1518.CrossRefGoogle ScholarPubMed