Abstract

In this work, we analyze the far-field pattern produced by a grating made of strips with two different random roughness levels. The efficiency and shape of the diffraction orders is obtained, which are shown to depend on the statistical properties of roughness. We assume for the calculations that the grating can be used in a mobile mechanical system. A preliminary experimental approach which partially corroborates the theoretical results is also performed.

© 2008 Optical Society of America

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References

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    [CrossRef]
  5. S. Wise, V. Quetschke, A. J. Deshpande, G. Mueller, D. H. Reitze, D. B. Tanner, and B. F. Whiting, “Phase effect in the diffraction of light: beyond the grating equation,” Phys. Rev. Lett. 95, 013901 (2005).
    [CrossRef]
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  10. G. Piquero, R. Borghi, A. Mondello, and M. Santarsiero, “Far field of beams generated by quasi-homogeneous sources passing through polarization gratings,” Opt. Commun. 195, 339-350 (2001).
    [CrossRef]
  11. F. J. Torcal-Milla, L. M. Sanchez-Brea, and E. Bernabeu, “Talbot effect with rough reflection gratings,” Appl. Opt. 46, 3668-3673 (2007).
  12. L. M. Sanchez-Brea, F. J. Torcal-Milla, and E. Bernabeu, “Talbot effect in metallic gratings under Gaussian illumination,” Opt. Commun. 278, 23-27 (2007).
  13. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 1991).
  14. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Artech House Norwood, 1987).
  15. J. W. Goodman, Statistical Optics (Wiley, 1985).

2007 (2)

L. M. Sanchez-Brea, F. J. Torcal-Milla, and E. Bernabeu, “Talbot effect in metallic gratings under Gaussian illumination,” Opt. Commun. 278, 23-27 (2007).

F. J. Torcal-Milla, L. M. Sanchez-Brea, and E. Bernabeu, “Talbot effect with rough reflection gratings,” Appl. Opt. 46, 3668-3673 (2007).

2006 (1)

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, “One-way diffraction grating,” Phys. Rev. E 74, 056611 (2006).
[CrossRef]

2005 (1)

S. Wise, V. Quetschke, A. J. Deshpande, G. Mueller, D. H. Reitze, D. B. Tanner, and B. F. Whiting, “Phase effect in the diffraction of light: beyond the grating equation,” Phys. Rev. Lett. 95, 013901 (2005).
[CrossRef]

2001 (1)

G. Piquero, R. Borghi, A. Mondello, and M. Santarsiero, “Far field of beams generated by quasi-homogeneous sources passing through polarization gratings,” Opt. Commun. 195, 339-350 (2001).
[CrossRef]

1999 (2)

Appl. Opt. (1)

Opt. Commun. (2)

G. Piquero, R. Borghi, A. Mondello, and M. Santarsiero, “Far field of beams generated by quasi-homogeneous sources passing through polarization gratings,” Opt. Commun. 195, 339-350 (2001).
[CrossRef]

L. M. Sanchez-Brea, F. J. Torcal-Milla, and E. Bernabeu, “Talbot effect in metallic gratings under Gaussian illumination,” Opt. Commun. 278, 23-27 (2007).

Opt. Lett. (2)

Phys. Rev. E (1)

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, “One-way diffraction grating,” Phys. Rev. E 74, 056611 (2006).
[CrossRef]

Phys. Rev. Lett. (1)

S. Wise, V. Quetschke, A. J. Deshpande, G. Mueller, D. H. Reitze, D. B. Tanner, and B. F. Whiting, “Phase effect in the diffraction of light: beyond the grating equation,” Phys. Rev. Lett. 95, 013901 (2005).
[CrossRef]

Other (8)

C. Palmer, Diffraction Grating Handbook (Richardson Grating Laboratory, New York, 2000).

R. Petit, Electromagnetic Theory of Gratings (Springer-Verlag, 1980).

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 1991).

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Artech House Norwood, 1987).

J. W. Goodman, Statistical Optics (Wiley, 1985).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1980).

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).

E. G. Loewen and E. Popov, Diffraction Gratings and Applications (Marcel Dekker, 1997).

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