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

doi:10.1088/1674-1056/21/10/104202

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 104202-104202.doi: 10.1088/1674-1056/21/10/104202

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

洪友丽^a, 张凯^a, 王志立^b, 朱中柱^a, 赵雪娇^a, 黄万霞^a, 袁清习^a, 朱佩平^a, 吴自玉^{b a}

a 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

收稿日期:2012-02-05 修回日期:2012-02-15 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
Project supported by the National Basic Research Program of China (Grant Nos. 2012CB825800 and 2009CB930804), the Key Important Project of the National Natural Science Foundation of China (Grant No. 10734070), the National Natural Science Foundation of China (Grant Nos. 11179004 and 10979055), and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-N42).

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

Hong You-Li (洪友丽)^a, Zhang Kai (张凯)^a, Wang Zhi-Li (王志立)^b, Zhu Zhong-Zhu (朱中柱)^a, Zhao Xue-Jiao (赵雪娇)^a, Huang Wan-Xia (黄万霞)^a, Yuan Qing-Xi (袁清习)^a, Zhu Pei-Ping (朱佩平)^a, Wu Zi-Yu (吴自玉)^{b a}

a 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

Received:2012-02-05 Revised:2012-02-15 Online:2012-09-01 Published:2012-09-01
Contact: hu Pei-Ping, Wu Zi-Yu E-mail:zhupp@ihep.ac.cn; wuzy@ustc.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant Nos. 2012CB825800 and 2009CB930804), the Key Important Project of the National Natural Science Foundation of China (Grant No. 10734070), the National Natural Science Foundation of China (Grant Nos. 11179004 and 10979055), and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-N42).

摘要/Abstract

摘要： 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.

关键词: phase imaging, near field, phase retrieval

Abstract: 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.

Key words: phase imaging, near field, phase retrieval

中图分类号: (Diffraction and scattering)

42.25.Fx

42.30.Rx (Phase retrieval)

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. Reconstructing a complex field from a series of its near-field diffraction patterns[J]. 中国物理B, 2012, 21(10): 104202-104202.

Hong You-Li (洪友丽), Zhang Kai (张凯), Wang Zhi-Li (王志立), Zhu Zhong-Zhu (朱中柱), Zhao Xue-Jiao (赵雪娇), Huang Wan-Xia (黄万霞), Yuan Qing-Xi (袁清习), Zhu Pei-Ping (朱佩平), Wu Zi-Yu (吴自玉). Reconstructing a complex field from a series of its near-field diffraction patterns[J]. Chin. Phys. B, 2012, 21(10): 104202-104202.

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

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

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