Non-interferometric, non-iterative phase retrieval by Green's functions

被引:50
作者
Frank, Johannes [1 ,2 ]
Altmeyer, Stefan [1 ]
Wernicke, Guenther [2 ]
机构
[1] Cologne Univ Appl Sci, Inst Appl Opt & Elect, D-50679 Cologne, Germany
[2] Humboldt Univ, Dept Phys, D-12489 Berlin, Germany
关键词
OF-INTENSITY EQUATION; APERTURE-ARRAY FILTER; TRANSPORT; MICROSCOPY; ALGORITHMS; SERIES;
D O I
10.1364/JOSAA.27.002244
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper a non-interferometric, non-iterative method for phase retrieval by Green's functions is presented. The theory is based on the parabolic wave equation that describes propagation of light in the Fresnel approximation in homogeneous media. Green's first identity will be used to derive an algorithm for phase retrieval considering different boundary conditions. Finally it will be shown that a commonly used solution of the transport-of-intensity equation can be obtained as a special case of the more general Green's function formulation derived here. (C) 2010 Optical Society of America
引用
收藏
页码:2244 / 2251
页数:8
相关论文
共 38 条
[1]   RELATIONSHIP BETWEEN 2-DIMENSIONAL INTENSITY AND PHASE IN A FRESNEL DIFFRACTION ZONE [J].
ABRAMOCHKIN, EG ;
VOLOSTNIKOV, VG .
OPTICS COMMUNICATIONS, 1989, 74 (3-4) :144-148
[2]   Phase retrieval from series of images obtained by defocus variation [J].
Allen, LJ ;
Oxley, MP .
OPTICS COMMUNICATIONS, 2001, 199 (1-4) :65-75
[3]  
ALLMAN BE, 2006, P LAND WARF C
[4]   Quantitative phase-amplitude microscopy I: optical microscopy [J].
Barone-Nugent, ED ;
Barty, A ;
Nugent, KA .
JOURNAL OF MICROSCOPY-OXFORD, 2002, 206 :194-203
[5]   Quantitative optical phase microscopy [J].
Barty, A ;
Nugent, KA ;
Paganin, D ;
Roberts, A .
OPTICS LETTERS, 1998, 23 (11) :817-819
[6]   On the transport of intensity technique for phase retrieval [J].
Beleggia, M ;
Schofield, MA ;
Volkov, VV ;
Zhu, Y .
ULTRAMICROSCOPY, 2004, 102 (01) :37-49
[7]   Optical testing using the transport-of-intensity equation [J].
Dorrer, C. ;
Zuegel, J. D. .
OPTICS EXPRESS, 2007, 15 (12) :7165-7175
[8]   PHASE RETRIEVAL ALGORITHMS - A COMPARISON [J].
FIENUP, JR .
APPLIED OPTICS, 1982, 21 (15) :2758-2769
[9]   Interferometric SAR phase unwrapping using Green's formulation [J].
Fornaro, G ;
Franceschetti, G ;
Lanari, R .
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 1996, 34 (03) :720-727
[10]  
GERCHBERG RW, 1972, OPTIK, V35, P237