Abstract

Polarizers are key components in optical science and technology. Thus, understanding the action of a polarizer beyond oversimplifying approximations is crucial. In this work, we study the interaction of a polarizing interface with an obliquely incident wave experimentally. To this end, a set of Mueller matrices is acquired employing a novel procedure robust against experimental imperfections. We connect our observation to a geometric model, useful to predict the effect of polarizers on complex light fields.

© 2013 OSA

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2013

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

2012

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

2011

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

2010

2009

2007

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

2006

2005

1999

1998

S. Polizzi, P. Riello, G. Fagherazzi, and N. Borrelli, “The microstructure of borosilicate glasses containing elongated and oriented phase-separated crystalline particles,” J. Non-Cryst. Solids232–234, 147–154 (1998).
[CrossRef]

1997

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

1996

1994

1992

1989

1987

1986

J. J. Gil and E. Bernabeu, “Depolarization and polarization indices of an optical system,” Opt. Acta33, 185–189 (1986).
[CrossRef]

1984

1982

P. Yeh, “Generalized model for wire grid polarizers,” Proc. SPIE0307, 13–21 (1982).
[CrossRef]

1980

1941

1852

A. Beer, “Bestimmung der Absorption des rothen Lichts in farbigen Flüssigkeiten,” Ann. Phys.162, 78–88 (1852).
[CrossRef]

Aiello, A.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

A. Aiello, C. Marquardt, and G. Leuchs, “Nonparaxial polarizers,” Opt. Lett.34, 3160–3162 (2009).
[CrossRef] [PubMed]

A. Aiello, G. Puentes, D. Voigt, and J. P. Woerdman, “Maximum-likelihood estimation of Mueller matrices,” Opt. Lett.31, 817–819 (2006).
[CrossRef] [PubMed]

A. Aiello and J. Woerdman, “Physical Bounds to the Entropy-Depolarization Relation in Random Light Scattering,” Phys. Rev. Lett.94, 090406 (2005).
[CrossRef] [PubMed]

Anderson, D. G. M.

Armigliato, A.

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

Azzam, R. M. A.

Banzer, P.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

Barakat, R.

Barrett, D.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

Beer, A.

A. Beer, “Bestimmung der Absorption des rothen Lichts in farbigen Flüssigkeiten,” Ann. Phys.162, 78–88 (1852).
[CrossRef]

Bernabeu, E.

J. J. Gil and E. Bernabeu, “Depolarization and polarization indices of an optical system,” Opt. Acta33, 185–189 (1986).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Pr., Oxford, 1999), 7th ed.

Borrelli, N.

S. Polizzi, P. Riello, G. Fagherazzi, and N. Borrelli, “The microstructure of borosilicate glasses containing elongated and oriented phase-separated crystalline particles,” J. Non-Cryst. Solids232–234, 147–154 (1998).
[CrossRef]

Borrelli, N. F.

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

Bottiger, J. R.

Branczyk, A. M.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Chille, V.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

Chipman, R. A.

Collett, E.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

Compain, E.

Damask, J. N.

J. N. Damask, Polarization Optics in Telecommunications (Springer, 2005).

Darabi, A.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Drevillon, B.

Fagherazzi, G.

S. Polizzi, P. Riello, G. Fagherazzi, and N. Borrelli, “The microstructure of borosilicate glasses containing elongated and oriented phase-separated crystalline particles,” J. Non-Cryst. Solids232–234, 147–154 (1998).
[CrossRef]

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

Fainman, Y.

Fraher, B.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

Fry, E. S.

Gabriel, C.

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

Gil, J. J.

J. J. Gil and E. Bernabeu, “Depolarization and polarization indices of an optical system,” Opt. Acta33, 185–189 (1986).
[CrossRef]

Goldstein, D. H.

gyu Jang, Y.

Hong, Q.

James, D. F. V.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Jones, R. C.

Kang, W.-S.

Kim, K.

Kim, S. M.

Kolb, T.

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

Korger, J.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

Lee, C. H.

Lee, G.-D.

Lee, S. H.

Leuchs, G.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

A. Aiello, C. Marquardt, and G. Leuchs, “Nonparaxial polarizers,” Opt. Lett.34, 3160–3162 (2009).
[CrossRef] [PubMed]

Lindlein, N.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

Lopez, A. G.

Lu, R.

Lu, S.-Y.

Mahler, D. H.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Mandel, L.

Marquardt, C.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

A. Aiello, C. Marquardt, and G. Leuchs, “Nonparaxial polarizers,” Opt. Lett.34, 3160–3162 (2009).
[CrossRef] [PubMed]

Moon, J.-W.

Poirier, S.

Polizzi, S.

S. Polizzi, P. Riello, G. Fagherazzi, and N. Borrelli, “The microstructure of borosilicate glasses containing elongated and oriented phase-separated crystalline particles,” J. Non-Cryst. Solids232–234, 147–154 (1998).
[CrossRef]

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

Puentes, G.

Riello, P.

S. Polizzi, P. Riello, G. Fagherazzi, and N. Borrelli, “The microstructure of borosilicate glasses containing elongated and oriented phase-separated crystalline particles,” J. Non-Cryst. Solids232–234, 147–154 (1998).
[CrossRef]

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

Rozema, L. A.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Schaefer, B.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

Shamir, J.

Smyth, R.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

Steinberg, A. M.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Thompson, R. C.

Voigt, D.

Wittmann, C.

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

Woerdman, J.

A. Aiello and J. Woerdman, “Physical Bounds to the Entropy-Depolarization Relation in Random Light Scattering,” Phys. Rev. Lett.94, 090406 (2005).
[CrossRef] [PubMed]

Woerdman, J. P.

Wolf, E.

Wu, S.-T.

Wu, T.

Wu, T. X.

Yeh, P.

P. Yeh, “Generalized model for wire grid polarizers,” Proc. SPIE0307, 13–21 (1982).
[CrossRef]

yong Han, H.

Zhu, X.

Am. J. Phys.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys.75, 163 (2007).
[CrossRef]

Ann. Phys.

A. Beer, “Bestimmung der Absorption des rothen Lichts in farbigen Flüssigkeiten,” Ann. Phys.162, 78–88 (1852).
[CrossRef]

Appl. Opt.

Appl. Phys. B

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, “Geometric Spin Hall Effect of Light at polarizing interfaces,” Appl. Phys. B102, 427–432 (2011).
[CrossRef]

J. Non-Cryst. Solids

S. Polizzi, P. Riello, G. Fagherazzi, and N. Borrelli, “The microstructure of borosilicate glasses containing elongated and oriented phase-separated crystalline particles,” J. Non-Cryst. Solids232–234, 147–154 (1998).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Microsc. Microanal. M.

S. Polizzi, A. Armigliato, P. Riello, N. F. Borrelli, and G. Fagherazzi, “Redrawn phase-separated borosilicate glasses: A TEM investigation,” Microsc. Microanal. M.8, 157–165 (1997).
[CrossRef]

New J. Phys.

A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James, “Self-calibrating quantum state tomography,” New J. Phys.14, 085003 (2012).
[CrossRef]

Opt. Acta

J. J. Gil and E. Bernabeu, “Depolarization and polarization indices of an optical system,” Opt. Acta33, 185–189 (1986).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

A. Aiello and J. Woerdman, “Physical Bounds to the Entropy-Depolarization Relation in Random Light Scattering,” Phys. Rev. Lett.94, 090406 (2005).
[CrossRef] [PubMed]

Proc. SPIE

P. Yeh, “Generalized model for wire grid polarizers,” Proc. SPIE0307, 13–21 (1982).
[CrossRef]

Other

J. Korger, A. Aiello, V. Chille, P. Banzer, C. Wittmann, N. Lindlein, C. Marquardt, and G. Leuchs, “Observation of the geometric spin Hall effect of light,” arXiv:1303.6974 (2013).

J. N. Damask, Polarization Optics in Telecommunications (Springer, 2005).

M. Born and E. Wolf, Principles of Optics (Pergamon Pr., Oxford, 1999), 7th ed.

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