UNIQUENESS RESULTS FOR THE PHASE-RETRIEVAL PROBLEM FOR RADIAL FUNCTIONS

被引:13
|
作者
LAWTON, W
机构
关键词
D O I
10.1364/JOSA.71.001519
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A representation theorem for band-limited functions of several variables whose moduli are radial is stated. The proof of this theorem, which is based on techniques from Fourier analysis and the theory of analytic functions of several variables, is outlined in the appendix. Several uniqueness results concerning the phase-retrieval problem that follow from the representation theorm are derived. References that relate the phase-retrieval problem to the problem of wave-front reconstruction in optics and image reconstruction in speckel interferometry are provided.
引用
收藏
页码:1519 / 1522
页数:4
相关论文
共 50 条
  • [31] Phase-retrieval techniques in fringe-projection profilometry
    Quan, C.
    Chen, W.
    Tay, C. J.
    OPTICS AND LASERS IN ENGINEERING, 2010, 48 (02) : 235 - 243
  • [32] New steep-descent phase-retrieval techniques
    Al-Azzo, W.F.
    Saydmarie, K.H.
    Abdul Salam, A.O.
    Modelling, Measurement and Control A, 2001, 74 (5-6): : 53 - 66
  • [33] APPLICATIONS OF THE MAXIMUM-LIKELIHOOD PHASE-RETRIEVAL ALGORITHM
    NAHRSTEDT, DA
    SOUTHWELL, WH
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1984, 1 (12): : 1319 - 1319
  • [34] Reconstruction of Ultrafast Exciton Dynamics with a Phase-retrieval Algorithm
    Moio, Bruno
    Dols, Gian Luca
    Inzani, Giacomo
    Di Palo, Nicola
    Borrego-Varillas, Rocio
    Nisoli, Mauro
    Lucchini, Matteo
    2021 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE & EUROPEAN QUANTUM ELECTRONICS CONFERENCE (CLEO/EUROPE-EQEC), 2021,
  • [35] Numerical correction of lens aberrations in phase-retrieval HRTEM
    Thust, A
    Overwijk, MHF
    Coene, WMJ
    Lentzen, M
    ULTRAMICROSCOPY, 1996, 64 (1-4) : 249 - 264
  • [36] ON RADIAL LIMITS AND UNIQUENESS OF HOLOMORPHIC FUNCTIONS
    MCMILLAN, JE
    MATHEMATISCHE ZEITSCHRIFT, 1966, 92 (04) : 321 - &
  • [37] PHASE-RETRIEVAL ALGORITHMS FOR A COMPLICATED OPTICAL-SYSTEM
    FIENUP, JR
    APPLIED OPTICS, 1993, 32 (10): : 1737 - 1746
  • [38] Phase-Retrieval Algebraic Solution Based on Window Modulation
    Huang, Jianhui
    Jin, Huiliang
    Ye, Qian
    Meng, Guoxiang
    ANNALEN DER PHYSIK, 2018, 530 (10)
  • [39] Phase-retrieval system using a shifted Gaussian filter
    College of Engineering, Shizuoka University, 3-5-1 Johoku, Hamamatsu 432, Japan
    J Opt Soc Am A, 2 (402-406):
  • [40] MAXIMUM-LIKELIHOOD PHASE-RETRIEVAL ALGORITHM - APPLICATIONS
    NAHRSTEDT, DA
    SOUTHWELL, WH
    APPLIED OPTICS, 1984, 23 (23): : 4328 - &