Phase retrieval from series of images obtained by defocus variation

被引:361
作者
Allen, LJ [1 ]
Oxley, MP [1 ]
机构
[1] Univ Melbourne, Sch Phys, Parkville, Vic 3010, Australia
基金
澳大利亚研究理事会;
关键词
phase retrieval; defocus variation; transport of intensity equation; free space propagator; phase discontinuities; computer program;
D O I
10.1016/S0030-4018(01)01556-5
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We develop and compare three different methods of phase retrieval from series of image measurements obtained at different defocus values. The first approach is an approximate solution to the transport of intensity equation (TIE) based on Fourier transforms. The second is an exact solution of the TIE, using multigrid methods. Lastly an iterative approach, using the free space propagator between image planes, is discussed. The iterative scheme is robust in the presence of discontinuities in the phase, unlike those methods based on solution of the TIE. The performance of the different methods in the presence of noise is discussed. Application of these methods to a set of experimental images taken using X-ray imaging is investigated. A computer program which can reproduce the simulations and analyse experimental image data is briefly discussed. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:65 / 75
页数:11
相关论文
共 33 条
[1]   MUDPACK-2 - MULTIGRID SOFTWARE FOR APPROXIMATING ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS ON UNIFORM GRIDS WITH ANY RESOLUTION [J].
ADAMS, JC .
APPLIED MATHEMATICS AND COMPUTATION, 1993, 53 (2-3) :235-249
[3]   Inversion or dynamical electron diffraction data including absorption [J].
Allen, LJ ;
Faulkner, HML ;
Leeb, H .
ACTA CRYSTALLOGRAPHICA SECTION A, 2000, 56 :119-126
[4]   Structure determination at the atomic level from dynamical electron diffraction data under systematic row conditions [J].
Allen, LJ ;
Oxley, MP .
ULTRAMICROSCOPY, 2001, 88 (03) :195-209
[5]   Phase retrieval and aberration correction in the presence of vortices in high-resolution transmission electron microscopy [J].
Allen, LJ ;
Faulkner, HML ;
Oxley, M ;
Paganin, D .
ULTRAMICROSCOPY, 2001, 88 (02) :85-97
[6]   Phase retrieval from images in the presence of first-order vortices [J].
Allen, LJ ;
Faulkner, HML ;
Nugent, KA ;
Oxley, MP ;
Paganin, D .
PHYSICAL REVIEW E, 2001, 63 (03) :376021-376024
[7]   Noninterferometric quantitative phase imaging with soft x rays [J].
Allman, BE ;
McMahon, PJ ;
Tiller, JB ;
Nugent, KA ;
Paganin, D ;
Barty, A ;
McNulty, I ;
Frigo, SP ;
Wang, YX ;
Retsch, CC .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (10) :1732-1743
[8]   Imaging - Phase radiography with neutrons [J].
Allman, BE ;
McMahon, PJ ;
Nugent, KA ;
Paganin, D ;
Jacobson, DL ;
Arif, M ;
Werner, SA .
NATURE, 2000, 408 (6809) :158-159
[9]   Quantitative phase-sensitive imaging in a transmission electron microscope [J].
Bajt, S ;
Barty, A ;
Nugent, KA ;
McCartney, M ;
Wall, M ;
Paganin, D .
ULTRAMICROSCOPY, 2000, 83 (1-2) :67-73
[10]   Quantitative optical phase microscopy [J].
Barty, A ;
Nugent, KA ;
Paganin, D ;
Roberts, A .
OPTICS LETTERS, 1998, 23 (11) :817-819