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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2008

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

2007

2005

2004

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

2003

2002

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

2001

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

2000

1999

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

1998

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

1994

1993

1982

1980

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

1978

1972

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.

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

F. Gori, J. Tervo, and J. Turunen, Opt. Lett. 34, 1447 (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.

J. Eur. Opt. Soc. Rapid Publ.

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

J. Opt. A: Pure Appl. Opt.

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.

J. Opt. Soc. Am. A

Opt. Commun.

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

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

Opt. Express

Opt. Lett.

Opt. Quantum Electron.

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

Pure Appl. Opt.

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

SIAM J. Optim.

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

Other

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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