OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 24 — Nov. 22, 2010
  • pp: 24975–24982

Observation of the Talbot effect using broadband hard x-ray beam

Jae Myung Kim, In Hwa Cho, Su Yong Lee, Hyon Chol Kang, Ray Conley, Chian Liu, Albert T. Macrander, and Do Young Noh  »View Author Affiliations


Optics Express, Vol. 18, Issue 24, pp. 24975-24982 (2010)
http://dx.doi.org/10.1364/OE.18.024975


View Full Text Article

Enhanced HTML    Acrobat PDF (1254 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We demonstrated the Talbot effect using a broadband hard x-ray beam (Δλ/λ ~1). The exit wave-field of the x-ray beam passing through a grating with a sub micro-meter scale period was successfully replicated and recorded at effective Talbot distance, ZT. The period was reduced to half at ZT/4 and 3/4ZT, and the phase reversal was observed at ZT/2. The propagating wave-field recorded on photoresists was consistent with a simulated result.

© 2010 OSA

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(050.5080) Diffraction and gratings : Phase shift
(110.6760) Imaging systems : Talbot and self-imaging effects
(340.7450) X-ray optics : X-ray interferometry

ToC Category:
X-ray Optics

History
Original Manuscript: September 15, 2010
Revised Manuscript: October 27, 2010
Manuscript Accepted: October 28, 2010
Published: November 15, 2010

Citation
Jae Myung Kim, In Hwa Cho, Su Yong Lee, Hyon Chol Kang, Ray Conley, Chian Liu, Albert T. Macrander, and Do Young Noh, "Observation of the Talbot effect using broadband hard x-ray beam," Opt. Express 18, 24975-24982 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-24-24975


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. F. Talbot, “Facts Relating to Optical Science,” Philos. Mag. 9, 401–407 (1836).
  2. L. Rayleigh, “On Copying Diffraction-Gratings, and some Phenomena Connected Therewith,” Philos. Mag. 11, 196 (1881).
  3. M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, “Near-field imaging of atom diffraction gratings: The atomic Talbot effect,” Phys. Rev. A 51(1), R14–R17 (1995). [CrossRef] [PubMed]
  4. L. Deng, E. W. Hagley, J. Denschlag, J. E. Simsarian, M. Edwards, C. W. Clark, K. Helmerson, S. L. Rolston, and W. D. Phillips, “Temporal, Matter-Wave-Dispersion Talbot Effect,” Phys. Rev. Lett. 83(26), 5407–5411 (1999). [CrossRef]
  5. B. Brezger, L. Hackermüller, S. Uttenthaler, J. Petschinka, M. Arndt, and A. Zeilinger, “Matter-wave interferometer for large molecules,” Phys. Rev. Lett. 88(10), 100404 (2002). [CrossRef] [PubMed]
  6. F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources,” Nature 2, 258–261 (2006).
  7. W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-X-ray phase-difference microscopy using a fresnel zone plate and a transmission grating,” Phys. Rev. Lett. 103(18), 180801 (2009). [CrossRef] [PubMed]
  8. W. B. Case, M. Tomandl, S. Deachapunya, and M. Arndt, “Realization of optical carpets in the Talbot and Talbot-Lau configurations,” Opt. Express 17(23), 20966–20974 (2009). [CrossRef] [PubMed]
  9. N. Guérineau, E. Di Mambro, J. Primot, and F. Alves, “Talbot experiment re-examined: study of the chromatic regime and application to spectrometry,” Opt. Express 11(24), 3310–3319 (2003). [CrossRef] [PubMed]
  10. P. Cloetens, J. P. Guigay, C. De Martino, J. Baruchel, and M. Schlenker, “Fractional Talbot imaging of phase gratings with hard x rays,” Opt. Lett. 22(14), 1059–1061 (1997). [CrossRef] [PubMed]
  11. C. Liu, R. Conley, A. T. Macrander, J. Maser, H. C. Kang, M. A. Zurbuchen, and G. B. Stephenson, “Depth-graded multilayers for application in transmission geometry as linear zone plates,” J. Appl. Phys. 98(11), 113519 (2005). [CrossRef]
  12. H. C. Kang, G. B. Stephenson, C. Liu, R. Conley, R. Khachatryan, M. Wieczorek, A. T. Macrander, H. Yan, J. Maser, J. Hiller, and R. Koritala, “Sectioning of multilayers to make a multilayer Laue lens,” Rev. Sci. Instrum. 78(4), 046103 (2007). [CrossRef] [PubMed]
  13. Filter Transmission, http://henke.lbl.gov/optical_constants/filter2.html
  14. K. Lee and S. S. Lee, “Deep X-ray mask with integrated actuator for 3D microfabrication,” Sens. Actuators A Phys. 108(1-3), 121–127 (2003). [CrossRef]
  15. J. W. Goodman, Introduction to Fourier optics (Roberts & Company, 2005).
  16. K. Suzuki, and B. W. Smith, Microlithography: Science and Technology (CRC Press, 2007).
  17. X-ray Form Factor, Attenuation, and Scattering Tables, http://physics.nist.gov/cgi-bin/ffast/ffast.pl?Z=14&Formula=&gtype=5&range=S&lower=2.4848&upper=24.848&density=2.33

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited