Abstract

We show, using rigorous diffraction theory, that resonance gratings can be used to transfer partial spatial correlation to partial polarization even if the incident light beam is fully polarized. The phenomenon is based on the fact that either of the two orthogonal polarization components can be coupled into the leaky waveguide mode, leading to a strong phase delay, while the other one is reflected without being coupled into the grating. Numerical demonstrations are based on a Gaussian Schell-model beam and a grating analysis performed by rigorous Fourier modal method.

© 2012 Optical Society of America

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References

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  1. J. Tervo, T. Setälä, and A. T. Friberg, Opt. Express 11, 1137 (2003).
    [CrossRef]
  2. Ph. Réfrégier and F. Goudail, Opt. Express 13, 6051 (2005).
    [CrossRef]
  3. F. Gori, M. Santarsiero, and R. Borghi, Opt. Lett. 32, 588 (2007).
    [CrossRef]
  4. A. Luis, J. Opt. Soc. Am. A 24, 1063 (2007).
    [CrossRef]
  5. R. Martínez-Herrero and P. M. Mejías, Opt. Lett. 32, 1471 (2007).
    [CrossRef]
  6. R. Martínez-Herrero and P. M. Mejías, Opt. Lett. 32, 1504 (2007).
    [CrossRef]
  7. D. F. V. James, J. Opt. Soc. Am. A 11, 1641 (1994).
    [CrossRef]
  8. F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
    [CrossRef]
  9. F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
    [CrossRef]
  10. F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000).
    [CrossRef]
  11. G. P. Agrawal and E. Wolf, J. Opt. Soc. Am. A 17, 2019 (2000).
    [CrossRef]
  12. F. Gori, J. Tervo, and J. Turunen, Opt. Lett. 34, 1447 (2009).
    [CrossRef]
  13. S. S. Wang and R. Magnusson, Appl. Opt. 32, 2606 (1993).
    [CrossRef]
  14. I. Vartiainen, J. Tervo, and M. Kuittinen, Opt. Lett. 34, 1648 (2009).
    [CrossRef]
  15. J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. 21, 2205 (2004).
    [CrossRef]
  16. E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 62, 379 (1972).
    [CrossRef]
  17. J. Tervo and J. Turunen, Opt. Commun. 209, 7 (2002).
    [CrossRef]
  18. L. Li, J. Opt. Soc. Am. A 13, 1024 (1996).
    [CrossRef]
  19. J. Tervo, I. A. Turunen, and B. Bai, J. Eur. Opt. Soc. Rapid Publ. 3, 08004 (2008).
    [CrossRef]
  20. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  21. G. Piquero, J. M. Movilla, P. M. Mejías, and R. Martínez-Herrero, Opt. Quantum Electron. 31, 223 (1999).
    [CrossRef]
  22. K. Knop, J. Opt. Soc. Am. 68, 1206 (1978).
    [CrossRef]
  23. Ph. Lalanne and G. M. Morris, J. Opt. Soc. Am. A 13, 779 (1996).
    [CrossRef]
  24. L. Li, J. Opt. Soc. Am. A 13, 1870 (1996).
    [CrossRef]
  25. E. Collett and E. Wolf, Opt. Lett. 2, 27 (1978).
    [CrossRef]
  26. E. Wolf, J. Opt. Soc. Am. 72, 343 (1982).
    [CrossRef]
  27. F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, J. Opt. Soc. Am. A 20, 78 (2003).
    [CrossRef]
  28. F. Gori, Opt. Commun. 34, 301 (1980).
    [CrossRef]
  29. A. Starikov and E. Wolf, J. Opt. Soc. Am. 72, 923 (1982).
    [CrossRef]
  30. J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
    [CrossRef]

2009 (2)

2008 (1)

J. Tervo, I. A. Turunen, and B. Bai, J. Eur. Opt. Soc. Rapid Publ. 3, 08004 (2008).
[CrossRef]

2007 (4)

2005 (1)

2004 (1)

J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. 21, 2205 (2004).
[CrossRef]

2003 (2)

2002 (1)

J. Tervo and J. Turunen, Opt. Commun. 209, 7 (2002).
[CrossRef]

2001 (1)

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

2000 (2)

1999 (1)

G. Piquero, J. M. Movilla, P. M. Mejías, and R. Martínez-Herrero, Opt. Quantum Electron. 31, 223 (1999).
[CrossRef]

1998 (2)

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
[CrossRef]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[CrossRef]

1996 (3)

1994 (1)

1993 (1)

1982 (2)

1980 (1)

F. Gori, Opt. Commun. 34, 301 (1980).
[CrossRef]

1978 (2)

1972 (1)

Agrawal, G. P.

Bai, B.

J. Tervo, I. A. Turunen, and B. Bai, J. Eur. Opt. Soc. Rapid Publ. 3, 08004 (2008).
[CrossRef]

Borghi, R.

F. Gori, M. Santarsiero, and R. Borghi, Opt. Lett. 32, 588 (2007).
[CrossRef]

F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, J. Opt. Soc. Am. A 20, 78 (2003).
[CrossRef]

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000).
[CrossRef]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[CrossRef]

Collett, E.

Friberg, A. T.

J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. 21, 2205 (2004).
[CrossRef]

J. Tervo, T. Setälä, and A. T. Friberg, Opt. Express 11, 1137 (2003).
[CrossRef]

Gori, F.

Goudail, F.

Guattari, G.

F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, J. Opt. Soc. Am. A 20, 78 (2003).
[CrossRef]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[CrossRef]

James, D. F. V.

Knop, K.

Kuittinen, M.

Lagarias, J. C.

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
[CrossRef]

Lalanne, Ph.

Li, L.

Luis, A.

Magnusson, R.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

Marchand, E. W.

Martínez-Herrero, R.

Mejías, P. M.

Mondello, A.

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

Morris, G. M.

Movilla, J. M.

G. Piquero, J. M. Movilla, P. M. Mejías, and R. Martínez-Herrero, Opt. Quantum Electron. 31, 223 (1999).
[CrossRef]

Piquero, G.

F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, J. Opt. Soc. Am. A 20, 78 (2003).
[CrossRef]

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000).
[CrossRef]

G. Piquero, J. M. Movilla, P. M. Mejías, and R. Martínez-Herrero, Opt. Quantum Electron. 31, 223 (1999).
[CrossRef]

Reeds, J. A.

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
[CrossRef]

Réfrégier, Ph.

Santarsiero, M.

F. Gori, M. Santarsiero, and R. Borghi, Opt. Lett. 32, 588 (2007).
[CrossRef]

F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, J. Opt. Soc. Am. A 20, 78 (2003).
[CrossRef]

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000).
[CrossRef]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[CrossRef]

Setälä, T.

J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. 21, 2205 (2004).
[CrossRef]

J. Tervo, T. Setälä, and A. T. Friberg, Opt. Express 11, 1137 (2003).
[CrossRef]

Simon, R.

F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, J. Opt. Soc. Am. A 20, 78 (2003).
[CrossRef]

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

Starikov, A.

Tervo, J.

F. Gori, J. Tervo, and J. Turunen, Opt. Lett. 34, 1447 (2009).
[CrossRef]

I. Vartiainen, J. Tervo, and M. Kuittinen, Opt. Lett. 34, 1648 (2009).
[CrossRef]

J. Tervo, I. A. Turunen, and B. Bai, J. Eur. Opt. Soc. Rapid Publ. 3, 08004 (2008).
[CrossRef]

J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. 21, 2205 (2004).
[CrossRef]

J. Tervo, T. Setälä, and A. T. Friberg, Opt. Express 11, 1137 (2003).
[CrossRef]

J. Tervo and J. Turunen, Opt. Commun. 209, 7 (2002).
[CrossRef]

Turunen, I. A.

J. Tervo, I. A. Turunen, and B. Bai, J. Eur. Opt. Soc. Rapid Publ. 3, 08004 (2008).
[CrossRef]

Turunen, J.

Vartiainen, I.

Vicalvi, S.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[CrossRef]

Wang, S. S.

Wolf, E.

Wright, M. H.

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
[CrossRef]

Wright, P. E.

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
[CrossRef]

Appl. Opt. (1)

J. Eur. Opt. Soc. Rapid Publ. (1)

J. Tervo, I. A. Turunen, and B. Bai, J. Eur. Opt. Soc. Rapid Publ. 3, 08004 (2008).
[CrossRef]

J. Opt. A: Pure Appl. Opt. (1)

F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001).
[CrossRef]

J. Opt. Soc. Am. (5)

J. Opt. Soc. Am. A (7)

Opt. Commun. (2)

J. Tervo and J. Turunen, Opt. Commun. 209, 7 (2002).
[CrossRef]

F. Gori, Opt. Commun. 34, 301 (1980).
[CrossRef]

Opt. Express (2)

Opt. Lett. (7)

Opt. Quantum Electron. (1)

G. Piquero, J. M. Movilla, P. M. Mejías, and R. Martínez-Herrero, Opt. Quantum Electron. 31, 223 (1999).
[CrossRef]

Pure Appl. Opt. (1)

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[CrossRef]

SIAM J. Optim. (1)

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
[CrossRef]

Other (1)

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

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Figures (2)

Fig. 1
Fig. 1

Intensity profiles of the TE and TM polarization and the degree of polarization (DOP) after the resonant grating. The inset illustrates the geometry of the depolarizer. The light arrives at an angle θ to the resonance grating with period d and causes a spatial shift of Δl to the TE polarization compared to the reflected TM polarization.

Fig. 2.
Fig. 2.

Amplitudes and Poynting vectors (arrows) of TM (top) and TE (bottom) polarizations inside the grating layer. Solid lines indicate the structural borders.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

W(r1,r2)=-A(k1,k2)×exp[i(k2·r2-k1*·r1)]×d2k1d2k2,
A(k1,k2)=1(2π)4-W(r1,r2)|z1=z2=0×exp[i(k1*·r1-k2·r2)]×d2r1d2r2,
Φ(α)=[exp[iϕTM(α)]00exp[iϕTE(α)],
Aout(α1,α2)=Φ*(α1)Ain(α1,α2)Φ(α2).
P~(z)=S(x,z)P(x,z)dxS(x,z)dx,
Win(x1,x2)=C2[1111]exp[x12+x224w0]×exp[-(x1-x2)22σ02],

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