title: Design of algorithms for phase shifting interferometry using self-convolution of the rectangle window.
abstract: The objective of this paper is to design phase shifting algorithms error-resistant to the nonlinearity of phase-shift error and photoelectric detector simultaneously. An effective construction approach is proposed based on self-convolution of the rectangle window to design algorithms with perfect zero point distribution, according to the fact that the error-resistant capability is entirely determined by the number and order of zero points of Fourier transform of the related window function. Theoretical analysis and numerical simulations compared to the commercial 13-frame algorithm demonstrate the validity of the approach to design algorithms with enhanced error-resistant capability not only to CCD-caused harmonics but also to PZT ramping nonlinearity.
authors.affiliation: State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China. shizg@ciomp.ac.cn
authors.forename: Zhenguang
authors.initials: Z
authors.lastname: Shi
authors.forename: Jian
authors.initials: J
authors.lastname: Zhang
authors.forename: Yongxin
authors.initials: Y
authors.lastname: Sui
authors.forename: Ji
authors.initials: J
authors.lastname: Peng
authors.forename: Feng
authors.initials: F
authors.lastname: Yan
authors.forename: Huaijiang
authors.initials: H
authors.lastname: Yang