OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 23 — Aug. 10, 2009
  • pp: 4519–4525

Optical scattering analysis of the diffraction distortion of a two-dimensional reflection grating

Shuyun Teng, Junchao Zhang, and Chuanfu Cheng  »View Author Affiliations


Applied Optics, Vol. 48, Issue 23, pp. 4519-4525 (2009)
http://dx.doi.org/10.1364/AO.48.004519


View Full Text Article

Enhanced HTML    Acrobat PDF (498 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Theoretical and experimental studies of the diffraction of a two-dimensional reflection grating are performed in this paper. Based on the theory of optical scattering, the light field in the Fraunhofer diffraction region is deduced, and the general expression of the diffraction field is given in the form of the wave vectors of the diffracted wave and the incident wave. Then the coordinate of the diffraction order is obtained. The calculation results show that the diffraction distortion of the grating appears when the grating is illuminated by the oblique incident light wave and the distortion is restricted on the diffraction of the grids varying along the direction perpendicular to the plane of incidence. The orbit equation satisfied by the distortion diffraction orders is presented. The experimental results verify adequately this diffraction distortion rule of the grating, and they agree very well with the theoretical results.

© 2009 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(050.5080) Diffraction and gratings : Phase shift
(060.2330) Fiber optics and optical communications : Fiber optics communications
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(110.0180) Imaging systems : Microscopy

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 31, 2009
Revised Manuscript: June 27, 2009
Manuscript Accepted: July 7, 2009
Published: August 3, 2009

Citation
Shuyun Teng, Junchao Zhang, and Chuanfu Cheng, "Optical scattering analysis of the diffraction distortion of a two-dimensional reflection grating," Appl. Opt. 48, 4519-4525 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-23-4519


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667-669 (1998). [CrossRef]
  2. D. Crouse, A. P. Hibbins, and M. J. Lockyear, “Tuning the polarization state of enhanced transmission in gratings,” Appl. Phys. Lett. 92, 191105 (2008). [CrossRef]
  3. K. Busch,G. von Freymann, S. Linden, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. Rev. Lett. 444, 101-202 (2007).
  4. J. J. Zheng, C. H. Zhou, and B. Wang, “Phase interpretation for polarization-dependent near-field images of high-density gratings,” Opt. Commun. 281, 3254-3259 (2008). [CrossRef]
  5. S. Teng, Y. Tan, and C. Cheng, “Quasi-Talbot effect of the high-density grating in near field,” J. Opt. Soc. Am. A 25, 2945-2951 (2008). [CrossRef]
  6. J. E. Harvey and R. V. Shack, “Aberrations of diffracted wave fields,” Appl. Opt. 17, 3003-3009 (1978). [CrossRef] [PubMed]
  7. J. E. Harvey and C. L. Vernold, “Description of diffraction grating behavior in direction cosinusoidal space,” Appl. Opt. 37, 8158-8160 (1998). [CrossRef]
  8. J. E. Harvey, D. Bogunovic, and A. Krywonos, “Aberrations of diffracted wave fields: distortion,” Appl. Opt. 42, 1167-1174(2003). [CrossRef] [PubMed]
  9. G. Fortin, “Graphical representation of the diffraction grating equation,” Am. J. Phys. 76, 43-47 (2008). [CrossRef]
  10. J. A. Ogilvy, Theory of Wave Scattering from Rough Surfaces (Hilger, 1991).
  11. J. Wang, L. Fang, Z. Zhang, J. Du, and Y. Guo, “Implementation of coherent array beam combination using two dimensional sine phase grating,” Chin. J. Laser 35, 39-43(2008). [CrossRef]
  12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables (Government Printing Office, 1965).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited