Abstract

Diffraction gratings are used in measurement devices for scientific and industrial applications. As it is well known, self-images appear in the near field when diffraction gratings are illuminated with a coherent beam, such as a plane wave. This effect has been analyzed in depth and its behavior is well known under ideal grating and illumination conditions. Usually, the illumination beam is not perfectly collimated but it presents a certain degree of aberration. In this work we analyze the behavior of the self-images of an ideal amplitude grating when it is illuminated by an aberrated beam. As it is expected the contrast of the self-images decrease when the order of them increases and also when the aberration degree increases. In some cases, contrast inversion is also produced for high degree aberrations.

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  1. F. J. Torcal-Milla, L. M. Sanchez-Brea, F. J. Salgado-Remacha, "Self-imaging location of amplitude/phase binary masks," Appl. Opt. 48, 6252-6258 (2009).
  2. F. Gori, "Measurement stokes parameters by means of a polarization grating," Opt. Lett. 24, 584-586 (1999).
  3. F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Self-imaging of gratings with rough strips," J. Opt. Soc. Amer. A 25, 2390-2394 (2008).
  4. M. Born, E. Wolf, Principles of Optics (Pergamon, 1991).
  5. E. Keren, O. Kafri, "Diffraction effects in moiré deflectometry," J. Opt. Soc. Amer. A. 2, 111-120 (1985).
  6. F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Talbot effect with rough reflection gratings," Appl. Opt. 46, 3668-3673 (2007).
  7. L. M. Sanchez-Brea, F. J. Torcal-Milla, E. Bernabeu, "Talbot effect in metallic gratings under Gaussian illumination," Opt. Commun. 278, 23-27 (2007).
  8. L. M. Sanchez-Brea, F. J. Torcal-Milla, E. Bernabeu, "Far field of gratings with rough strips," J. Opt. Soc. Amer. A 25, 828-833 (2008).
  9. Y. Lu, C. Zhou, H. Luo, "Talbot effect of a grating with different kind of flaws," J. Opt. Soc. Amer. A 22, 2662-2667 (2005).
  10. F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Diffraction of gratings with rough edges," Opt. Exp. 16, 19757-19769 (2008).
  11. F. Zernike, "Diffration theory of knife-edge test and its improved form, the phase contrast method," Mon. Not. R. Astron. Soc. 94, 377-384 (1934).
  12. V. N. Mahajan, Proc. SPIE, Opt. Imaging and Aberrations, Part II: Wave Diffraction Opt. (2004).
  13. V. N. Mahajan, "Zernike polynomials and aberration balancing," Proc. SPIE (2003) pp. 1-17.
  14. V. N. Mahajan, G. Dai, "Orthonormal polynomials in wavefront analysis: Analytical solution," J. Opt. Soc. Amer. A 24, 2995-3015 (2007).
  15. R. Upton, B. Ellerbroek, "Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape," Opt. Lett. 29, 2840-2842 (2004).
  16. F. Shen, A. Wang, "Fast-Fourier-transform based numerical integration method for the Rayleigh—Sommerfeld diffraction formula," Appl. Opt. 45, 1102-1110 (2006).
  17. D. Crespo, J. Alonso, T. Morlanes, E. Bernabeu, "Optical encoder based on Lau effect," Opt. Eng. 39, 817-824 (2000).
  18. L. M. Sanchez-Brea, T. Morlanes, "Metrologycal errors in optical encoders," Meas. Sci. Technol. 19, (2008) Art. ID 115104.

2009 (1)

2008 (4)

L. M. Sanchez-Brea, T. Morlanes, "Metrologycal errors in optical encoders," Meas. Sci. Technol. 19, (2008) Art. ID 115104.

L. M. Sanchez-Brea, F. J. Torcal-Milla, E. Bernabeu, "Far field of gratings with rough strips," J. Opt. Soc. Amer. A 25, 828-833 (2008).

F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Diffraction of gratings with rough edges," Opt. Exp. 16, 19757-19769 (2008).

F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Self-imaging of gratings with rough strips," J. Opt. Soc. Amer. A 25, 2390-2394 (2008).

2007 (3)

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

V. N. Mahajan, G. Dai, "Orthonormal polynomials in wavefront analysis: Analytical solution," J. Opt. Soc. Amer. A 24, 2995-3015 (2007).

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

2006 (1)

2005 (1)

Y. Lu, C. Zhou, H. Luo, "Talbot effect of a grating with different kind of flaws," J. Opt. Soc. Amer. A 22, 2662-2667 (2005).

2004 (1)

2000 (1)

D. Crespo, J. Alonso, T. Morlanes, E. Bernabeu, "Optical encoder based on Lau effect," Opt. Eng. 39, 817-824 (2000).

1999 (1)

1985 (1)

E. Keren, O. Kafri, "Diffraction effects in moiré deflectometry," J. Opt. Soc. Amer. A. 2, 111-120 (1985).

1934 (1)

F. Zernike, "Diffration theory of knife-edge test and its improved form, the phase contrast method," Mon. Not. R. Astron. Soc. 94, 377-384 (1934).

Appl. Opt. (3)

J. Opt. Soc. Amer. A (4)

V. N. Mahajan, G. Dai, "Orthonormal polynomials in wavefront analysis: Analytical solution," J. Opt. Soc. Amer. A 24, 2995-3015 (2007).

L. M. Sanchez-Brea, F. J. Torcal-Milla, E. Bernabeu, "Far field of gratings with rough strips," J. Opt. Soc. Amer. A 25, 828-833 (2008).

Y. Lu, C. Zhou, H. Luo, "Talbot effect of a grating with different kind of flaws," J. Opt. Soc. Amer. A 22, 2662-2667 (2005).

F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Self-imaging of gratings with rough strips," J. Opt. Soc. Amer. A 25, 2390-2394 (2008).

J. Opt. Soc. Amer. A. (1)

E. Keren, O. Kafri, "Diffraction effects in moiré deflectometry," J. Opt. Soc. Amer. A. 2, 111-120 (1985).

Meas. Sci. Technol. (1)

L. M. Sanchez-Brea, T. Morlanes, "Metrologycal errors in optical encoders," Meas. Sci. Technol. 19, (2008) Art. ID 115104.

Mon. Not. R. Astron. Soc. (1)

F. Zernike, "Diffration theory of knife-edge test and its improved form, the phase contrast method," Mon. Not. R. Astron. Soc. 94, 377-384 (1934).

Opt. Commun. (1)

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

Opt. Eng. (1)

D. Crespo, J. Alonso, T. Morlanes, E. Bernabeu, "Optical encoder based on Lau effect," Opt. Eng. 39, 817-824 (2000).

Opt. Exp. (1)

F. J. Torcal-Milla, L. M. Sanchez-Brea, E. Bernabeu, "Diffraction of gratings with rough edges," Opt. Exp. 16, 19757-19769 (2008).

Opt. Lett. (2)

Other (3)

V. N. Mahajan, Proc. SPIE, Opt. Imaging and Aberrations, Part II: Wave Diffraction Opt. (2004).

V. N. Mahajan, "Zernike polynomials and aberration balancing," Proc. SPIE (2003) pp. 1-17.

M. Born, E. Wolf, Principles of Optics (Pergamon, 1991).

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