Abstract

Using rigorous diffraction theory, we show that it is possible to depolarize quasi-monochromatic light using a fully deterministic, thin optical element. The principle is based on polarization-sensitive resonant gratings in total-internal-reflection configuration, and careful numerical design by the Fourier modal method. We present numerical examples for 0.1nm and 10nm bandwidths.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, 1998).
  2. D. S. Kliger, J. W. Lewis, and C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic Press, 1990).
  3. B. H. Billings, J. Opt. Soc. Am. 41, 966 (1951).
    [CrossRef]
  4. P. H. Richter, J. Opt. Soc. Am. 69, 460 (1979).
    [CrossRef]
  5. N. J. Diorio, Jr., M. R. Fisch, and J. L. West, J. Appl. Phys. 90, 3675 (2001).
    [CrossRef]
  6. M. Honma and T. Nose, Appl. Opt. 43, 4667 (2004).
    [CrossRef] [PubMed]
  7. H. Dong, J. Q. Zhou, M. Yan, P. Shum, L. Ma, Y. D. Gong, and C. Q. Wu, Opt. Lett. 31, 876 (2006).
    [CrossRef] [PubMed]
  8. D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
    [CrossRef]
  9. L. F. Rojas-Ochoa, D. Lacoste, R. Lenke, P. Schurtenberger, and F. Scheffold, J. Opt. Soc. Am. A 21, 1799 (2004).
    [CrossRef]
  10. G. Biener, A. Niv, V. Kleiner, and E. Hasman, Opt. Lett. 28, 1400 (2003).
    [CrossRef] [PubMed]
  11. S. S. Wang and R. Magnusson, Appl. Opt. 32, 2606 (1993).
    [CrossRef] [PubMed]
  12. M. Born and E. Wolf, 7th ed.Principles of Optics (Cambridge U. Press, 1999).
  13. J. Turunen, M. Kuittinen, and F. Wyrowski, in Progress in Optics, E.Wolf, ed. (Elsevier, 2000), Vol. 40.
    [CrossRef]
  14. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
  15. J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. A 21, 2205 (2004).
    [CrossRef]
  16. M. A. Alonso and E. Wolf, Opt. Commun. 281, 2393 (2008).
    [CrossRef]
  17. K. Knop, J. Opt. Soc. Am. 68, 1206 (1978).
    [CrossRef]
  18. Ph. Lalanne and G. M. Morris, J. Opt. Soc. Am. A 13, 779 (1996).
    [CrossRef]
  19. L. Li, J. Opt. Soc. Am. A 13, 1870 (1996).
    [CrossRef]
  20. J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998).
    [CrossRef]
  21. N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
    [CrossRef]
  22. R. Magnusson and M. Shokooh-Saremi, Opt. Express 16, 3456 (2008).
    [CrossRef] [PubMed]
  23. R. R. Boye and R. K. Kostuk, Appl. Opt. 39, 3649 (2000).
    [CrossRef]

2008 (3)

M. A. Alonso and E. Wolf, Opt. Commun. 281, 2393 (2008).
[CrossRef]

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

R. Magnusson and M. Shokooh-Saremi, Opt. Express 16, 3456 (2008).
[CrossRef] [PubMed]

2006 (1)

2004 (3)

2003 (1)

2001 (1)

N. J. Diorio, Jr., M. R. Fisch, and J. L. West, J. Appl. Phys. 90, 3675 (2001).
[CrossRef]

2000 (1)

1998 (1)

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

1996 (2)

1994 (1)

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

1993 (1)

1979 (1)

1978 (1)

1951 (1)

Alonso, M. A.

M. A. Alonso and E. Wolf, Opt. Commun. 281, 2393 (2008).
[CrossRef]

Bicout, D.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Biener, G.

Billings, B. H.

Born, M.

M. Born and E. Wolf, 7th ed.Principles of Optics (Cambridge U. Press, 1999).

Boye, R. R.

Brosseau, C.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, 1998).

Diorio, N. J.

N. J. Diorio, Jr., M. R. Fisch, and J. L. West, J. Appl. Phys. 90, 3675 (2001).
[CrossRef]

Dong, H.

Fisch, M. R.

N. J. Diorio, Jr., M. R. Fisch, and J. L. West, J. Appl. Phys. 90, 3675 (2001).
[CrossRef]

Friberg, A. T.

Gong, Y. D.

Hasman, E.

Honma, M.

Karvinen, P.

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

Kleiner, V.

Kliger, D. S.

D. S. Kliger, J. W. Lewis, and C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic Press, 1990).

Knop, K.

Kostuk, R. K.

Kuittinen, M.

J. Turunen, M. Kuittinen, and F. Wyrowski, in Progress in Optics, E.Wolf, ed. (Elsevier, 2000), Vol. 40.
[CrossRef]

Laakkonen, P.

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

Lacoste, D.

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.

Lenke, R.

Lewis, J. W.

D. S. Kliger, J. W. Lewis, and C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic Press, 1990).

Li, L.

Ma, L.

Magnusson, R.

Mandel, L.

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

Martinez, A. S.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Morris, G. M.

Niv, A.

Nose, T.

Passilly, N.

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

Randall, C. E.

D. S. Kliger, J. W. Lewis, and C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic Press, 1990).

Reeds, J. A.

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

Richter, P. H.

Rojas-Ochoa, L. F.

Scheffold, F.

Schmitt, J. M.

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[CrossRef]

Schurtenberger, P.

Setälä, T.

Shokooh-Saremi, M.

Shum, P.

Tervo, J.

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

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

Turunen, J.

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

J. Turunen, M. Kuittinen, and F. Wyrowski, in Progress in Optics, E.Wolf, ed. (Elsevier, 2000), Vol. 40.
[CrossRef]

Ventola, K.

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

Wang, S. S.

West, J. L.

N. J. Diorio, Jr., M. R. Fisch, and J. L. West, J. Appl. Phys. 90, 3675 (2001).
[CrossRef]

Wolf, E.

M. A. Alonso and E. Wolf, Opt. Commun. 281, 2393 (2008).
[CrossRef]

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

M. Born and E. Wolf, 7th ed.Principles of Optics (Cambridge U. Press, 1999).

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]

Wu, C. Q.

Wyrowski, F.

J. Turunen, M. Kuittinen, and F. Wyrowski, in Progress in Optics, E.Wolf, ed. (Elsevier, 2000), Vol. 40.
[CrossRef]

Yan, M.

Zhou, J. Q.

Appl. Opt. (3)

J. Appl. Phys. (1)

N. J. Diorio, Jr., M. R. Fisch, and J. L. West, J. Appl. Phys. 90, 3675 (2001).
[CrossRef]

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

N. Passilly, P. Karvinen, K. Ventola, P. Laakkonen, J. Turunen, and J. Tervo, J. Eur. Opt. Soc. Rapid Publ. 3, 08009 (2008).
[CrossRef]

J. Opt. Soc. Am. (3)

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

Opt. Commun. (1)

M. A. Alonso and E. Wolf, Opt. Commun. 281, 2393 (2008).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. E (1)

D. Bicout, C. Brosseau, A. S. Martinez, and J. M. Schmitt, Phys. Rev. E 49, 1767 (1994).
[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 (5)

M. Born and E. Wolf, 7th ed.Principles of Optics (Cambridge U. Press, 1999).

J. Turunen, M. Kuittinen, and F. Wyrowski, in Progress in Optics, E.Wolf, ed. (Elsevier, 2000), Vol. 40.
[CrossRef]

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

C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, 1998).

D. S. Kliger, J. W. Lewis, and C. E. Randall, Polarized Light in Optics and Spectroscopy (Academic Press, 1990).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Geometry and operation of the designed dielectric pseudodepolarizer. Incident light arrives to the grating layer at input angle θ. Polarization component that propagates in the leaky mode experiences delay of Δ l compared with the reflected polarization component. d, grating period; h, structure depth.

Fig. 2
Fig. 2

Resonance regime for the structure and the locations of the minima of the degree of polarization for the bandwidths 0.1 nm (+) and 10 nm (×).

Fig. 3
Fig. 3

Degree of polarization as a function of fill factor f and grating depth h for wavelength bands 0.1 nm (top) and 10 nm (bottom).

Fig. 4
Fig. 4

Phase shift of TE and TM components for the designs for two different bandwidths.

Equations (6)

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

P = 1 4 det Γ ( 0 ) [ tr Γ ( 0 ) ] 2 ,
W ( ω ) = 1 2 π Γ ( τ ) exp ( i ω τ ) d τ ,
Γ ( τ ) = 0 W ( ω ) exp ( i ω τ ) d ω .
W ( ω ) = F * ( ω ) F T ( ω ) ,
F out = [ F in , TM ( ω ) exp [ i φ TM ( ω ) ] F in , TE ( ω ) exp [ i φ TE ( ω ) ] ] ,
W out ( ω ) = Φ * ( ω ) W in ( ω ) Φ ( ω ) ,

Metrics