Reconstructing a complex field from a series of its near-field diffraction patterns

We propose a method for reconstructing a complex field from a series of its near-field diffraction patterns.This method is based on the paraxial Fresnel diffraction equation without making further approximations.Numerical simulations are presented showing that a complex field can even be reconstruct...

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Published inChinese physics B Vol. 21; no. 10; pp. 260 - 264
Main Author 洪友丽 张凯 王志立 朱中柱 赵雪娇 黄万霞 袁清习 朱佩平 吴自玉
Format Journal Article
LanguageEnglish
Published 01.10.2012
Subjects
Approximation
Computer simulation
Diffraction
Diffraction patterns
Fresnel diffraction
Mathematical analysis
Mathematical models
Reconstruction
中等质量
数值模拟
精确重建
菲涅尔衍射
衍射图样
衍射图案
近场
重构
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/10/104202

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Summary:We propose a method for reconstructing a complex field from a series of its near-field diffraction patterns.This method is based on the paraxial Fresnel diffraction equation without making further approximations.Numerical simulations are presented showing that a complex field can even be reconstructed with moderate qualities from its two near-field diffraction patterns and almost exact reconstructions can be obtained when three or more diffraction patterns are used.We also show by numerical simulation that the correct diffraction distances can be recovered in case only coarsely measured values are available.This method may be applied to phase imaging of weak-absorption objects.
Bibliography:Hong You-Li ,Zhang Kai ,Wang Zhi-Li ,Zhu Zhong-Zhu ,Zhao Xue-Jiao ,Huang Wan-Xia ,Yuan Qing-Xi ,Zhu Pei-Ping,and Wu Zi-Yu（ Beijing Synchrotron Radiation Facility,Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China b） National Synchrotron Radiation Laboratory,University of Science and Technology of China,Hefei 230026,China
We propose a method for reconstructing a complex field from a series of its near-field diffraction patterns.This method is based on the paraxial Fresnel diffraction equation without making further approximations.Numerical simulations are presented showing that a complex field can even be reconstructed with moderate qualities from its two near-field diffraction patterns and almost exact reconstructions can be obtained when three or more diffraction patterns are used.We also show by numerical simulation that the correct diffraction distances can be recovered in case only coarsely measured values are available.This method may be applied to phase imaging of weak-absorption objects.
phase imaging; near field; phase retrieval
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/10/104202