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研究生:陳竑學
研究生(外文):Chen, Hung-Shiue
論文名稱:冷原子之無透鏡式相位移成像研究
論文名稱(外文):Lensless Phase-Shifting Imaging of Cold Atoms
指導教授:韓殿君
指導教授(外文):Han, Dian-Jiun
口試委員:韓殿君魏台輝蔡錦俊
口試委員(外文):Han, Dian-JiunWei, Tai-HueiTsai, Chin-Chun
口試日期:2012/7/24
學位類別:碩士
校院名稱:國立中正大學
系所名稱:物理學系暨研究所
學門:自然科學學門
學類:物理學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:英文
論文頁數:53
中文關鍵詞:冷原子無透鏡式相位移相位移冷原子之無透鏡式相位移成像研究
外文關鍵詞:Lensless Phase-Shifting Imaging of Cold AtomsLensless Phase-Shifting ImagingCold Atoms
相關次數:
  • 被引用被引用:1
  • 點閱點閱:193
  • 評分評分:
  • 下載下載:4
  • 收藏至我的研究室書目清單書目收藏:0
We develop a novel lensless imaging method to reconstruct the 2D phase image of cold atomic cloud by measuring the far field distributions of the scattered beam using a Mach-Zehnder interfereometer, and accompanying with phase shifting interferometry (PSI). This scheme allows to deposit extremely small heating to the atoms due to far-off resonance and low power probe beam is used, and is intrinsically a nondestructive means.
In this thesis, I will first introduce the working principle, special features and the possible experimental scheme. To show this nondestructive imaging manner could be realized by experiment we thus carry out theoretical simulations on a broad range of cold atoms, from those in a magneto-optical trap (MOT) to extremely dense clouds close to Bose-Einstein condensation (BEC). I will describe the numerical methods and experimental parameters used in the simulations.
Finally, I will discuss the simulation results on some specific cases on the cold atomic samples. This analysis also presents some merits benefitted from the way I present in this thesis. More importantly, from our simulation data, it shows the proposed nondestructive imaging method could be experimentally realized. I will describe these in details and its possible applications too.

Abstract i
Acknowledgments ii
List of Figures iv
List of Tables vi
Chapter 1 Inttroduction 1
Chapter 2 Theory and Experimental Scheme 4
2.1 Mach-Zehnder Interferometer 4
2.2 Phase Shifting Interferometry on Cold Atoms 5
2.3 The Heating Rate 7
2.4 Retrieve 2D Phase Images 8
2.5 The Resolution Limits in Diffraction Contrast Image 9
2.5.1 Pixel resolution Limit 9
2.5.2 Diffraction Limit 10
2.5.3 Aperture Limit 11
Chapter 3 Results and Analysis 13
3.1 Cold Atomic Cloud Imaging with Divergent Mode 13
3.2 MOT Cloud Imaging with Convergent Mode 17
3.3 Tiny Cloud Imaging with Divergent Mode 18
3.4 Focusing 20
3.5 Resolution 22
Chapter 4 Conclutions 29
Bibliography 30
Appendix A 32
Appendix B 34
Appendix C 35
Appendix D 38

1.M.R. Andrews, M.-O. Mewes, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, “Direct, Nondestructive Observation of a Bose Condensate,” Science 273, 84 (1996).
2.C.C. Bradley, C.A. Sackett, and R.G. Hulet, “Bose-Einstein Condensation of Lithium: Observation of Limited Condensate Number,” Phys. Rev. Lett. 78, 985 (1997).
3.Yeou-Yen Cheng and James C. Wyant, “Phase shifter calibration in phase-shifting interferometry,” Appl. Opt. 24, 3049-3052 (1985).
4.Tzu-Ping Ku, Chih-Yuan Huang, Bor-Wen Shiau, and Dian-Jiun Han, “Phase Shifting Interferometry of Cold Atoms,” Opt. Express 19, 3730 (2011).
5.Bor-Wen Shianu, Tzu-Ping Ku, and Dian-Jiun Han, “Real-Time Phase Difference Control of Optical Beams Using a Mach-Zehnder Interferometer,” J. Phys. Soc. Jpn. 79, 034302 (2010).
6.Ichirou Yamaguchi, and Tong Zhang, “Phase-shifting digital holography,” Opt. Lett. 22, 1268 1997.
7.L.D. Turner, K.F. E.M. Domen, and R.E. Scholten, “Diffraction-contrast imaging of cold atoms,” Phys. Rev. A 72, 031403(R) (2005).
8.Marshall T. DePue, S. Lukman Winoto, D.J. Han, David S. Weiss, “Transient compression of a MOT and high density fluorescent imaging of optically thick clouds of atoms,” Opt. Commun. 180, 73 (2000).
9.Christian Fuhse, “X-ray waveguides and waveguide-based lensless imaging,” Ph.D. dissertation, University of G¨ottingen, Germany, 2006, p 126.
10.C. Fuhse, C. Ollinger, and T. Salditt, “Waveguide-Based Off-Axis Holography with Hard X Rays,” Phys. Rev. Lett. 97, 254801 (2006).
11.L.D. Turner, “Holographic Imaging of Cold Atoms,” Ph.D. dissertation, University of Melbourne, Australia, 2004.
12.Eugene Hecht, “Optics,” 4th edition, p 472.
13.W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, “Fortran Numerical Recipes,” 2nd edition, Cambridge university press.
14.Chih-Yuan Huang, Hung-Shiue Chen, Chih-Yuan Liu, Chin-Han Chen, and D.J. Han, “Lensless Phase-Shifting Imaging of Cold Atoms,” in preparation.

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