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Firstly, based on the Gaussian-schell model source theory and the propagation of cross-spectral density function in free space, the spatial coherence of undulator source (BL15U) in Shanghai Synchrotron Radiation Facility is studied. Secondly, the influences of pre-focusing mirror and the monochromator on the beam spatial coherence are discussed. Finally, the spatial coherent length at mono slit S2 is measured. The spatial coherent length at S2 theoretically is 66.5 μm, but experimentally is 27 μm. This difference is due to the high frequency vibration of pre-focusing mirror or monochromato. Nevertheless, high coherent hard X ray beams can be obtained at the location of experimental sample and many coherent experiments can be fulfilled on this beamline.
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Keywords:
- undulator /
- Gaussian-schell model source /
- spatial coherence
[1] Xue Y L, Xiao T Q, Wu L H, Chen C, Guo R Y, Du G H, Xie H L, Deng B, Ren Y Q, Xu H J 2010 Acta Phys. Sin. 59 5496 (in Chinese) [薛艳玲, 肖体乔, 吴立宏, 陈灿, 郭荣怡, 杜国浩, 谢红兰, 邓彪, 任玉琦, 徐洪杰 2010 59 5496]
[2] Grübel G, Zontone F 2004 J. Alloys Compd. 362 3
[3] Livet F 2007 Acta Crystallogr. A 63 87
[4] Miao J W, Charalambous P, Kirz J, Sayre D 1999 Nature 400 342
[5] Pfeifer M, Williams G, Vartanyants I, Harder R, Robinson I K 2006 Nature 442 63
[6] Chapman H N, Barty A, Marchesini S, Noy A, Hau-Riege S R, Cui C, Howells M R, Rosen R, He H, Spence J C H, Weierstall U, Beetz T, Jacobsen C, Shapiro D 2006 J. Opt. Soc. Am. A 23 1179
[7] Abbey B, Nugent K A, Williams G J, Clark J N, Peele A G, Pfeifer M A, De Jonge M, McNulty I 2008 Nat. Phys. 4 394
[8] Thibault P, Dierolf M, Menzel A, Bunk O, David C, Pfeiffer F 2008 Science 321 379
[9] Robinson I, Harder R 2009 Nat. Materials 4 291
[10] Takayama Y, Hatano T, Miyakava T, Okamoto W 1998 J. Synchrotron Rad. 5 1187
[11] Geloni G, Saldin E, Schneidmiller E, Yurkov M 2008 Nucl. Instrum. Methods A 588 463
[12] Kim K J 1986 Nucl. Instrum. Methods A 246 71
[13] Kim K J 1986 SPIE Proc. 582 2
[14] Coisson R 1995 Appl. Opt. 34 904
[15] Coisson R, Marchesini S 1997 J. Synchrotron Rad. 4 263
[16] Vartanyants I A, Singer A 2010 New J. Phys. 12 035004
[17] Daniele P, Andrei Y N, Herbert O M, Keith A N 2011 Opt. Express 19 8073
[18] Takahashi Y, Nishino Y, Mimura H 2009 J. Appl. Phys. 105 083106
[19] Takahashi Y, Nishino Y, Tsutsumi R 2009 Phys. Rev. B 80 054103
[20] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press)
[21] Wang Y, Xiao T Q, Xu H J, Chen M, Chen J W, Xu Z Z 2000 Acta Opt. Sin. 20 553 (in Chinese) [王云, 肖体乔, 徐洪杰, 陈敏, 陈建文, 徐至展 2000 光学学报 20 553]
[22] Kewish C M, Assoufid L, Macrander A T, Qian J 2007 Appl. Opt. 44 2010
[23] Zhu P P, Tang E S, Cui Q M 1998 Acta Opt. Sin. 18 46 (in Chinese) [朱佩平, 唐鄂生, 崔明启 1998 光学学报 18 46]
[24] Tang E S, Zhu P P, Cui Q M 1998 Acta Opt. Sin. 18 46 (in Chinese) [唐鄂生, 朱佩平, 崔明启 1998 光学学报 18 1640]
[25] van Dijk T, Gbur G, Visser T D 2008 J. Opt. Soc. Am. A 25 575
[26] Lu W, Liu L R, Sun J F, Yang Q G, Zhu Y J 2007 Opt. Comm. 271 1
[27] Yabashi M, Tamasaku K, Goto S, Ishikawa T 2005 J. Phys. D: Appl. Phys. 38 11
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[1] Xue Y L, Xiao T Q, Wu L H, Chen C, Guo R Y, Du G H, Xie H L, Deng B, Ren Y Q, Xu H J 2010 Acta Phys. Sin. 59 5496 (in Chinese) [薛艳玲, 肖体乔, 吴立宏, 陈灿, 郭荣怡, 杜国浩, 谢红兰, 邓彪, 任玉琦, 徐洪杰 2010 59 5496]
[2] Grübel G, Zontone F 2004 J. Alloys Compd. 362 3
[3] Livet F 2007 Acta Crystallogr. A 63 87
[4] Miao J W, Charalambous P, Kirz J, Sayre D 1999 Nature 400 342
[5] Pfeifer M, Williams G, Vartanyants I, Harder R, Robinson I K 2006 Nature 442 63
[6] Chapman H N, Barty A, Marchesini S, Noy A, Hau-Riege S R, Cui C, Howells M R, Rosen R, He H, Spence J C H, Weierstall U, Beetz T, Jacobsen C, Shapiro D 2006 J. Opt. Soc. Am. A 23 1179
[7] Abbey B, Nugent K A, Williams G J, Clark J N, Peele A G, Pfeifer M A, De Jonge M, McNulty I 2008 Nat. Phys. 4 394
[8] Thibault P, Dierolf M, Menzel A, Bunk O, David C, Pfeiffer F 2008 Science 321 379
[9] Robinson I, Harder R 2009 Nat. Materials 4 291
[10] Takayama Y, Hatano T, Miyakava T, Okamoto W 1998 J. Synchrotron Rad. 5 1187
[11] Geloni G, Saldin E, Schneidmiller E, Yurkov M 2008 Nucl. Instrum. Methods A 588 463
[12] Kim K J 1986 Nucl. Instrum. Methods A 246 71
[13] Kim K J 1986 SPIE Proc. 582 2
[14] Coisson R 1995 Appl. Opt. 34 904
[15] Coisson R, Marchesini S 1997 J. Synchrotron Rad. 4 263
[16] Vartanyants I A, Singer A 2010 New J. Phys. 12 035004
[17] Daniele P, Andrei Y N, Herbert O M, Keith A N 2011 Opt. Express 19 8073
[18] Takahashi Y, Nishino Y, Mimura H 2009 J. Appl. Phys. 105 083106
[19] Takahashi Y, Nishino Y, Tsutsumi R 2009 Phys. Rev. B 80 054103
[20] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press)
[21] Wang Y, Xiao T Q, Xu H J, Chen M, Chen J W, Xu Z Z 2000 Acta Opt. Sin. 20 553 (in Chinese) [王云, 肖体乔, 徐洪杰, 陈敏, 陈建文, 徐至展 2000 光学学报 20 553]
[22] Kewish C M, Assoufid L, Macrander A T, Qian J 2007 Appl. Opt. 44 2010
[23] Zhu P P, Tang E S, Cui Q M 1998 Acta Opt. Sin. 18 46 (in Chinese) [朱佩平, 唐鄂生, 崔明启 1998 光学学报 18 46]
[24] Tang E S, Zhu P P, Cui Q M 1998 Acta Opt. Sin. 18 46 (in Chinese) [唐鄂生, 朱佩平, 崔明启 1998 光学学报 18 1640]
[25] van Dijk T, Gbur G, Visser T D 2008 J. Opt. Soc. Am. A 25 575
[26] Lu W, Liu L R, Sun J F, Yang Q G, Zhu Y J 2007 Opt. Comm. 271 1
[27] Yabashi M, Tamasaku K, Goto S, Ishikawa T 2005 J. Phys. D: Appl. Phys. 38 11
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