Abstract

We discuss the properties of fields whose polarization states remain invariant in diffractive devices; in particular, in Young’s interferometer. We investigate the conditions for such fields, called pure partially polarized fields, in both the space–time and space–frequency domains and show that the frequency-domain condition is a more general one. We also discuss the relationships of polarization purity and nonquantum entanglement between polarization and spatial (or temporal) correlation.

© 2013 Optical Society of America

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  1. F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
    [CrossRef]
  2. T. Setälä, J. Tervo, and A. T. Friberg, Opt. Lett. 31, 2208 (2006).
    [CrossRef]
  3. T. Setälä, J. Tervo, and A. T. Friberg, Opt. Lett. 31, 2669 (2006).
    [CrossRef]
  4. M. Santarsiero, J. Opt. Soc. Am. A 24, 3493 (2007).
    [CrossRef]
  5. B. Kanseri, S. Rath, and H. C. Kandpal, Opt. Lett. 34, 719 (2009).
    [CrossRef]
  6. F. Gori, J. Tervo, and J. Turunen, Opt. Lett. 34, 1447 (2009).
    [CrossRef]
  7. J. Tervo, T. Setälä, A. Roueff, P. Réfrégier, and A. T. Friberg, Opt. Lett. 34, 3074 (2009).
    [CrossRef]
  8. B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
    [CrossRef]
  9. X. F. Qian and J. H. Eberly, Opt. Lett. 36, 4110 (2011).
    [CrossRef]
  10. L. Mandel, J. Opt. Soc. Am. 51, 1342 (1961).
    [CrossRef]
  11. L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976).
    [CrossRef]
  12. T. Hassinen, J. Tervo, and A. T. Friberg, Opt. Lett. 34, 3866 (2009).
    [CrossRef]
  13. T. Hassinen, J. Tervo, and A. T. Friberg, Appl. Phys. B 105, 305 (2011).
    [CrossRef]
  14. J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. A 21, 2205 (2004).
    [CrossRef]
  15. T. Setälä, F. Nunziata, and A. T. Friberg, Opt. Lett. 34, 2924 (2009).
    [CrossRef]
  16. M. Lahiri, Opt. Lett. 34, 2936 (2009).
    [CrossRef]
  17. T. Setälä, F. Nunziata, and A. T. Friberg, in Information Optics and Photonics: Algorithms, Systems, and Applications, T. Fournel and B. Javidi, eds. (Springer, 2010), p. 207.
  18. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

2011

T. Hassinen, J. Tervo, and A. T. Friberg, Appl. Phys. B 105, 305 (2011).
[CrossRef]

X. F. Qian and J. H. Eberly, Opt. Lett. 36, 4110 (2011).
[CrossRef]

2010

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

2009

2007

2006

2004

1998

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

1976

1961

Borghi, R.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

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

Eberly, J. H.

Friberg, A. T.

Gori, F.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

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

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

Guattari, G.

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

Hassinen, T.

T. Hassinen, J. Tervo, and A. T. Friberg, Appl. Phys. B 105, 305 (2011).
[CrossRef]

T. Hassinen, J. Tervo, and A. T. Friberg, Opt. Lett. 34, 3866 (2009).
[CrossRef]

Kandpal, H. C.

Kanseri, B.

Lahiri, M.

Mandel, L.

L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976).
[CrossRef]

L. Mandel, J. Opt. Soc. Am. 51, 1342 (1961).
[CrossRef]

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

Mukunda, N.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

Nunziata, F.

T. Setälä, F. Nunziata, and A. T. Friberg, Opt. Lett. 34, 2924 (2009).
[CrossRef]

T. Setälä, F. Nunziata, and A. T. Friberg, in Information Optics and Photonics: Algorithms, Systems, and Applications, T. Fournel and B. Javidi, eds. (Springer, 2010), p. 207.

Qian, X. F.

Rath, S.

Réfrégier, P.

Roueff, A.

Santarsiero, M.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

M. Santarsiero, J. Opt. Soc. Am. A 24, 3493 (2007).
[CrossRef]

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

Setälä, T.

Simon, B. N.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

Simon, R.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

Simon, S.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

Tervo, J.

Turunen, J.

Vicalvi, S.

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

Wolf, E.

L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976).
[CrossRef]

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

Appl. Phys. B

T. Hassinen, J. Tervo, and A. T. Friberg, Appl. Phys. B 105, 305 (2011).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Lett.

Phys. Rev. Lett.

B. N. Simon, S. Simon, F. Gori, M. Santarsiero, R. Borghi, N. Mukunda, and R. Simon, Phys. Rev. Lett. 104, 023901 (2010).
[CrossRef]

Pure Appl. Opt.

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

Other

T. Setälä, F. Nunziata, and A. T. Friberg, in Information Optics and Photonics: Algorithms, Systems, and Applications, T. Fournel and B. Javidi, eds. (Springer, 2010), p. 207.

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

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Equations (14)

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

W(Q1,Q2,ω)=E*(Q1,ω)ET(Q2,ω),
J(Qj,ω)=αj(ω)j(ω),
A(r,ω)j(ω)=[β1(ω)+β2(ω)]j(ω)+β12W(Q1,Q2,ω)eik(R2R1)+β12W(Q1,Q2,ω)eik(R2R1),
W(Q1,Q2,ω)=F(Q1,Q2,ω)j(ω),
W(Q1,Q2,ω)=υ*(Q1,ω)υ(Q2,ω)j(ω).
Γ(Q1,Q2,τ)=E*(Q1,t)ET(Q2,t+τ),
B(r)jt=(σ1+σ2)jt+σ12Γ(Q1,Q2,τ)eik(R2R1)+σ12Γ(Q1,Q2,τ)eik(R2R1),
Γ(Q1,Q2,τ)=G(Q1,Q2,τ)jtfor allτ,
W(Q1,Q2,ω)=δ(ωω1)F(Q1,Q2,ω1)j1+δ(ωω2)F(Q1,Q2,ω2)j2,
Γ(Q1,Q2,τ)=0W(Q1,Q2,ω)eiωτdω=F(Q1,Q2,ω1)eiω1τj1+F(Q1,Q2,ω2)eiω2τj2.
J(Qj)=Γ(Qj,Qj,0)=F(Qj,Qj,ω1)j1+F(Qj,Qj,ω2)j2,
W(Q1,Q2,ω)=G˜(Q1,Q2,ω)jt,
E(r)=Ex(r)x^+Ey(r)y^
E(r)=Ex(r)(x^+ay^).

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