利用混合态分解算法提高重叠关联成像的质量

王春鹏; 许子健; 陶旭磊; 邰仁忠

doi:10.11889/j.0253-3219.2016.hjs.39.110102

您当前的位置：

首页 >

文章列表页 >

利用混合态分解算法提高重叠关联成像的质量

同步辐射技术及应用 | 更新时间：2021-05-24

- 利用混合态分解算法提高重叠关联成像的质量
- Improving the reconstructed image quality in ptychography using mixed states decomposition iterative phase retrieval algorithms
- 核技术 2016年39卷第11期文章编号：110102
- 作者机构：
  
  1.中国科学院上海应用物理研究所嘉定园区上海 201800
  2.中国科学院大学北京 100049
- 作者简介：
  
  [ "王春鹏,男,1988年出生,2011年毕业于中国科学技术大学,现为博士研究生,研究领域为X射线显微成像、相干衍射成像", "WANG Chunpeng, male, born in 1988, graduated from University of Science and Technology of China in 2011, doctoral student, focusing on X-ray microscopy and coherent diffraction imaging" ]
  许子健,E-mail:xuzijian@sinap.ac.cn XU Zijian, E-mail: xuzijian@sinap.ac.cn
  邰仁忠,E-mail:tairenzhong@sinap.ac.cn TAI Renzhong, E-mail: tairenzhong@sinap.ac.cn
- 基金信息：
  
  国家重点基础研究发展计划(No.2012CB825705);国家自然科学基金(No.11225527、No.11575283、No.11505277)
- DOI：10.11889/j.0253-3219.2016.hjs.39.110102
  中图分类号： TL99
- 收稿日期：2016-08-26，
  
  修回日期：2016-09-29，
  
  纸质出版日期：2016-11
- 稿件说明：
移动端阅览
王春鹏, 许子健, 陶旭磊, 等. 利用混合态分解算法提高重叠关联成像的质量[J]. 核技术, 2016,39(11):110102

Chunpeng WANG, Zijian XU, Xulei TAO, et al. Improving the reconstructed image quality in ptychography using mixed states decomposition iterative phase retrieval algorithms[J]. Nuclear techniques, 2016, 39(11): 110102
王春鹏, 许子健, 陶旭磊, 等. 利用混合态分解算法提高重叠关联成像的质量[J]. 核技术, 2016,39(11):110102 DOI： 10.11889/j.0253-3219.2016.hjs.39.110102.

Chunpeng WANG, Zijian XU, Xulei TAO, et al. Improving the reconstructed image quality in ptychography using mixed states decomposition iterative phase retrieval algorithms[J]. Nuclear techniques, 2016, 39(11): 110102 DOI： 10.11889/j.0253-3219.2016.hjs.39.110102.

摘要

X射线重叠关联成像技术所采用的常规相位恢复迭代算法均把入射光视为完全相干的单色光（即单态入射光），把样品视为稳定平衡的（即单态样品），把实验过程中成像系统内所有光学元器件的响应视为固定不变的。然而在实际实验中，上述三个条件很难得到同时保证。在非理想的实验条件下，任何单态条件发生变化或者出现多重态混合，其造成的退相干效应均会使衍射图样变得模糊，严重降低利用单态相位恢复迭代算法获得的重建图像质量。为了消除各种来源的混合态效应的负面影响，本文利用多模式拓展重叠关联迭代引擎算法（Mm-ePIE）和子像素上采样拓展重叠关联迭代引擎算法（Us-ePIE）这两种不同的混合态分解算法对实验数据进行处理。重建结果表明，不同来源的混合态效应（退相干效应）的分解结果在重建探针函数和重建样品函数中均得到了体现，两种混合态分解算法均能够显著改善重建图像的质量。其中多模式算法Mm-ePIE在消除入射探针的非相干效应方面更胜一筹。

Abstract

Background

In most commonly used iterative phase retrieval algorithms in X-ray ptychography

the incident X-ray is considered to be fully coherent and monochromatic (i.e. in single state)

the sample is considered to be stable or unchanged

and the responses of all optical elements in the system are considered to be fixed throughout the data acquisition process. However

in actual experiments

the above three conditions cannot be guaranteed simultaneously. Under non-ideal conditions

decoherence effects from single state changing or states mixture could severely deteriorate the reconstructed image quality.

Purpose

This study aims to improve the reconstructed image quality using mixed states decomposition iterative phase retrieval algorithms to eliminate the negative influences of various types of decoherence effects.

Methods

Two mixed state decomposition algorithms

the multi-mode extended ptychographical iterative engine (Mm-ePIE) algorithm and the sub-pixel up-sampling extended ptychographical iterative engine (Us-ePIE) algorithm are used to reconstruct the sample function and the probe function(s) simultaneously.

Results

The results show that the decomposition effect of state mixture from different sources is embodied in both the reconstructed sample function and probe function(s).

Conclusion

These two mixed-state decomposition phase retrieval algorithms can both improve the quality of the reconstructed image significantly. Moreover

the multi-mode algorithm performs better than the up-sampling algorithm in removing the decoherence effects.

关键词

Keywords

references

J W Miao , P Charalambous , J Kirz , . Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens . Nature , 1999 . 400 ( 6742 ): 342 - 344 . DOI: 10.1038/22498 http://doi.org/10.1038/22498 .

J Miao , T Ishikawa , B Johnson , . High resolution 3D X-ray diffraction microscopy . Physical Review Letters , 2002 . 89 ( 8 ): 088303 DOI: 10.1103/PhysRevLett.89.088303 http://doi.org/10.1103/PhysRevLett.89.088303 .

D Shapiro , P Thibault , T Beetz , . Biological imaging by soft X-ray diffraction microscopy . Proceedings of the National Academy of Sciences of the United States of America , 2005 . 102 ( 43 ): 15343 - 15346 . DOI: 10.1073/pnas.0503305102 http://doi.org/10.1073/pnas.0503305102 .

H N Chapman , A Barty , M J Bogan , . Femtosecond diffractive imaging with a soft-X-ray free-electron laser . Nature Physics , 2006 . 2 ( 12 ): 839 - 843 . DOI: 10.1038/nphys461 http://doi.org/10.1038/nphys461 .

A P Mancuso , A Schropp , B Reime , . Coherent-pulse 2D crystallography using a free-electron laser X-ray source . Physical Review Letters , 2009 . 102 ( 3 ): 035502 DOI: 10.1103/PhysRevLett.102.035502 http://doi.org/10.1103/PhysRevLett.102.035502 .

A V Martin , N D Loh , C Y Hampton , . Femtosecond dark-field imaging with an X-ray free electron laser . Optics Express , 2012 . 20 ( 12 ): 13501 - 13512 . DOI: 10.1364/OE.20.013501 http://doi.org/10.1364/OE.20.013501 .

R L Sandberg , A Paul , D A Raymondson , . Lensless diffractive imaging using tabletop coherent high-harmonic soft-X-ray beams . Physical Review Letters , 2007 . 99 ( 9 ): 098103 DOI: 10.1103/PhysRevLett.99.098103 http://doi.org/10.1103/PhysRevLett.99.098103 .

R L Sandberg , C Y Song , P W Wachulak , . High numerical aperture tabletop soft X-ray diffraction microscopy with 70-nm resolution . Proceedings of the National Academy of Sciences of the United States of America , 2008 . 105 ( 1 ): 24 - 27 . DOI: 10.1073/pnas.0710761105 http://doi.org/10.1073/pnas.0710761105 .

A Ravasio , D Gauthier , F R N C Maia , . Single-shot diffractive imaging with a table-top femtosecond soft X-ray laser-harmonics source . Physical Review Letters , 2009 . 103 ( 2 ): 028104 DOI: 10.1103/PhysRevLett.103.028104 http://doi.org/10.1103/PhysRevLett.103.028104 .

H Jiang , D Ramunno-Johnson , C Song , . Nanoscale imaging of mineral crystals inside biological composite materials using X-ray diffraction microscopy . Physical Review Letters , 2008 . 100 ( 3 ): 038103 DOI: 10.1103/PhysRevLett.100.038103 http://doi.org/10.1103/PhysRevLett.100.038103 .

C G Schroer , P Boye , J M Feldkamp , . Coherent X-ray diffraction imaging with nanofocused illumination . Physical Review Letters , 2008 . 101 ( 9 ): 090801 DOI: 10.1103/PhysRevLett.101.090801 http://doi.org/10.1103/PhysRevLett.101.090801 .

J Nelson , X J Huang , J Steinbrener , . High-resolution X-ray diffraction microscopy of specifically labeled yeast cells . Proceedings of the National Academy of Sciences of the United States of America , 2010 . 107 ( 16 ): 7235 - 7239 . DOI: 10.1073/pnas.0910874107 http://doi.org/10.1073/pnas.0910874107 .

K S Raines , S Salha , R L Sandberg , . Three-dimensional structure determination from a single view . Nature , 2010 . 463 ( 7278 ): 214 - 217 . DOI: 10.1038/nature08705 http://doi.org/10.1038/nature08705 .

B Abbey , L W Whitehead , H M Quiney , . Lensless imaging using broadband X-ray sources . Nature Photonics , 2011 . 5 ( 7 ): 420 - 424 . DOI: 10.1038/nphoton.2011.125 http://doi.org/10.1038/nphoton.2011.125 .

范家东 , 江怀东 . 相干X射线衍射成像技术及在材料学和生物学中的应用 . 物理学报 , 2012 . 61 ( 21 ): 218702 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201221074.htm .

Jiadong FAN , Huaidong JIANG . Coherent X-ray diffraction imaging and its applications in materials science and biology . Acta Physica Sinica , 2012 . 61 ( 21 ): 218702 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201221074.htm .

刘海岗 , 许子健 , 张祥志 , . 中心挡板对扫描相干X射线衍射成像的影响 . 物理学报 , 2013 . 62 ( 15 ): 150702 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201315016.htm .

Haigang LIU , Zijian XU , Xiangzhi ZHANG , . Influence of central beamstop on ptychographic coherent diffractive imaging . Acta Physica Sinica , 2013 . 62 ( 15 ): 150702 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201315016.htm .

刘海岗 , 许子健 , 王春鹏 , . 同步辐射X射线光斑信息对扫描相干衍射成像的影响 . 辐射研究与辐射工艺学报 , 2013 . 31 ( 6 ): 060801 DOI: 10.11889/j.1000-3436.2013.rrj.31.060801 http://doi.org/10.11889/j.1000-3436.2013.rrj.31.060801 .

Haigang LIU , Zijian XU , Chunpeng WANG , . Effects of synchrotron radiation X-ray beam on ptychographic coherent diffractive imaging . Journal of Radiation Research and Radiation Processing , 2013 . 31 ( 6 ): 060801 DOI: 10.11889/j.1000-3436.2013.rrj.31.060801 http://doi.org/10.11889/j.1000-3436.2013.rrj.31.060801 .

W Yang , X Huang , R Harder , . Coherent diffraction imaging of nanoscale strain evolution in a single crystal under high pressure . Nature Communications , 2013 . 4 1680 DOI: 10.1038/ncomms2661 http://doi.org/10.1038/ncomms2661 .

J Zhang , J D Fan , J H Zhang , . Three-dimensional coherent diffraction imaging of Mie-scattering spheres by laser single-orientation measurement . Chinese Physics B , 2015 . 24 ( 9 ): 094201 DOI: 10.1088/1674-1056/24/9/094201 http://doi.org/10.1088/1674-1056/24/9/094201 .

J Miao , J Kirz , D Sayre . The oversampling phasing method . Acta Crystallographica Section D , 2000 . 56 ( 10 ): 1312 - 1315 . DOI: 10.1107/S0907444900008970 http://doi.org/10.1107/S0907444900008970 .

S Marchesini , H N Chapman , S P Hau-Riege , . Coherent X-ray diffractive imaging:applications and limitations . Optics Express , 2003 . 11 ( 19 ): 2344 - 2353 . DOI: 10.1364/OE.11.002344 http://doi.org/10.1364/OE.11.002344 .

H M L Faulkner , J M Rodenburg . Movable aperture lensless transmission microscopy:a novel phase retrieval algorithm . Physical Review Letters , 2004 . 93 ( 2 ): 023903 DOI: 10.1103/PhysRevLett.93.023903 http://doi.org/10.1103/PhysRevLett.93.023903 .

J M Rodenburg , H M L Faulkner . A phase retrieval algorithm for shifting illumination . Applied Physics Letters , 2004 . 85 ( 20 ): 4795 - 4797 . DOI: 10.1063/1.1823034 http://doi.org/10.1063/1.1823034 .

P Thibault , M Dierolf , A Menzel , . High-resolution scanning X-ray diffraction microscopy . Science , 2008 . 321 ( 5887 ): 379 - 382 . DOI: 10.1126/science.1158573 http://doi.org/10.1126/science.1158573 .

A M Maiden , J M Rodenburg . An improved ptychographical phase retrieval algorithm for diffractive imaging . Ultramicroscopy , 2009 . 109 ( 10 ): 1256 - 1262 . DOI: 10.1016/j.ultramic.2009.05.012 http://doi.org/10.1016/j.ultramic.2009.05.012 .

A M Maiden , M J Humphry , F Zhang , . Superresolution imaging via ptychography . Journal of the Optical Society of America A , 2011 . 28 ( 4 ): 604 - 612 . DOI: 10.1364/JOSAA.28.000604 http://doi.org/10.1364/JOSAA.28.000604 .

A Shenfield , J M Rodenburg . Evolutionary determination of experimental parameters for ptychographical imaging . Journal of Applied Physics , 2011 . 109 ( 12 ): 124510 DOI: 10.1063/1.3600235 http://doi.org/10.1063/1.3600235 .

A M Maiden , M J Humphry , M C Sarahan , . An annealing algorithm to correct positioning errors in ptychography . Ultramicroscopy , 2012 . 120 64 - 72 . DOI: 10.1016/j.ultramic.2012.06.001 http://doi.org/10.1016/j.ultramic.2012.06.001 .

F Zhang , I Peterson , J Vila-Comamala , . Translation position determination in ptychographic coherent diffraction imaging . Optics Express , 2013 . 21 ( 11 ): 13592 - 13606 . DOI: 10.1364/OE.21.013592 http://doi.org/10.1364/OE.21.013592 .

A M Maiden , M J Humphry , J M Rodenburg . Ptychographic transmission microscopy in three dimensions using a multi-slice approach . Journal of the Optical Society of America A , 2012 . 29 ( 8 ): 1606 - 1614 . DOI: 10.1364/JOSAA.29.001606 http://doi.org/10.1364/JOSAA.29.001606 .

P Thibault , A Menzel . Reconstructing state mixtures from diffraction measurements . Nature , 2013 . 494 ( 7435 ): 68 - 71 . DOI: 10.1038/nature11806 http://doi.org/10.1038/nature11806 .

C Xue , Y Wang , Z Guo , . High-performance soft X-ray spectromicroscopy beamline at SSRF . Review of Scientific Instruments , 2010 . 81 ( 10 ): 103502 DOI: 10.1063/1.3491837 http://doi.org/10.1063/1.3491837 .

谭兴兴 , 刘海岗 , 郭智 , . 基于上海光源扫描透射X射线显微术的相干衍射成像模拟 . 光学学报 , 2011 . 31 ( 4 ): 0418001 DOI: 10.3788/AOS201131.0418001 http://doi.org/10.3788/AOS201131.0418001 .

Xingxing TAN , Haigang LIU , Zhi GUO , . Simulation of coherent diffraction imaging based on scanning transimission X-ray microscopy of Shanghai Synchrotron Radiation Facility . Acta Optica Sinica , 2011 . 31 ( 4 ): 0418001 DOI: 10.3788/AOS201131.0418001 http://doi.org/10.3788/AOS201131.0418001 .

祝江威 , 许子健 , 刘海岗 , . 基于X射线相干衍射成像的元素分布成像 . 核技术 , 2012 . 35 ( 4 ): 245 - 250 . http://www.cnki.com.cn/Article/CJFDTOTAL-HJSU201204003.htm .

Jiangwei ZHU , Zijian XU , Haigang LIU , . Three-dimension elemental mapping based on coherent X-ray diffraction imaging . Nuclear Techniques , 2012 . 35 ( 4 ): 245 - 250 . http://www.cnki.com.cn/Article/CJFDTOTAL-HJSU201204003.htm .

S M Yang , L S Wang , J Zhao , . Developments at SSRF in soft X-ray interference lithography . Nuclear Science and Techniques , 2015 . 26 ( 1 ): 010101 DOI: 10.13538/j.1001-8042/nst.26.010101 http://doi.org/10.13538/j.1001-8042/nst.26.010101 .

L Zhang , Z Xu , X Zhang , . Latest advances in soft X-ray spectromicroscopy at SSRF . Nuclear Science and Techniques , 2015 . 26 ( 4 ): 040101 DOI: 10.13538/j.1001-8042/nst.26.040101 http://doi.org/10.13538/j.1001-8042/nst.26.040101 .

D J Batey , T B Edo , C Rau , . Reciprocal-space up-sampling from real-space oversampling in X-ray ptychography . Physical Review A , 2014 . 89 ( 4 ): 043812 DOI: 10.1103/PhysRevA.89.043812 http://doi.org/10.1103/PhysRevA.89.043812 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

动量加速方法提高层叠衍射成像的质量

X光发散度对多切片扫描相干衍射成像质量的影响

一种近衍射限聚焦软X射线显微光束线光学设计