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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
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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
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Copyright
Copyright © Cambridge University Press and the European Microwave Association 2020

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