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
[21]   Lensless imaging from diffraction intensity measurements by use of a noniterative phase-retrieval method [J].
Nakajima, N .
APPLIED OPTICS, 2004, 43 (08) :1710-1718
[22]   Noniterative two-dimensional phase-retrieval method from two Fourier intensities by use of an exponential filter [J].
Nakajima, N .
APPLIED OPTICS, 2003, 42 (14) :2492-2497
[23]   Noniterative phase retrieval from a single diffraction intensity pattern by use of an aperture array [J].
Nakajima, Nobuharu .
PHYSICAL REVIEW LETTERS, 2007, 98 (22)
[24]   Lensless coherent imaging by a deterministic phase retrieval method with an aperture-array filter [J].
Nakajima, Nobuharu .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2008, 25 (03) :742-750
[25]   Phase retrieval from a high-numerical-aperture intensity distribution by use of an aperture-array filter [J].
Nakajima, Nobuharu .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2009, 26 (10) :2172-2180
[26]   Phase retrieval using an aperture-array filter under partially coherent illumination [J].
Nakajima, Nobuharu .
OPTICS COMMUNICATIONS, 2009, 282 (11) :2128-2135
[27]  
*NAT I STAND TECHN, GREENS FUNCT TUT INT
[28]   DISLOCATIONS IN WAVE TRAINS [J].
NYE, JF ;
BERRY, MV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1974, 336 (1605) :165-190
[29]   Noninterferometric phase imaging with partially coherent light [J].
Paganin, D ;
Nugent, KA .
PHYSICAL REVIEW LETTERS, 1998, 80 (12) :2586-2589
[30]  
Polyanin A.D., 2018, HDB ORDINARY DIFFERE