Abstract

Starting from the concepts of coherence and polarization, we generalize the conventional degree of polarization, introducing a two-point parameter, the complex degree of mutual polarization V, which is defined in terms of measurable quantities. We demonstrate the physical significance of this new quantity for the case of fully correlated, pure states of polarization at the two points, showing that the magnitude of V is a measure of the similarity between the states of polarization at two different points in space.

© 2004 Optical Society of America

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References

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  1. F. Zernike, Physica 5, 785 (1938).
    [CrossRef]
  2. G. Parrent and P. Roman, Nuovo Cimento 10, 370 (1960).
    [CrossRef]
  3. E. Wolf, Nuovo Cimento 13, 1165 (1959).
    [CrossRef]
  4. N. Wiener, Acta Math. 55, 117 (1930).
    [CrossRef]
  5. F. Gori, Opt. Lett. 23, 241 (1998).
    [CrossRef]
  6. E. Wolf, Phys. Lett. A 312, 263 (2003).
    [CrossRef]
  7. J. Tervo, T. Setala, and A. Friberg, Opt. Express 11, 1137 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  8. J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
    [CrossRef]
  9. E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, New York, 1993).

2003 (2)

1998 (2)

J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
[CrossRef]

F. Gori, Opt. Lett. 23, 241 (1998).
[CrossRef]

1960 (1)

G. Parrent and P. Roman, Nuovo Cimento 10, 370 (1960).
[CrossRef]

1959 (1)

E. Wolf, Nuovo Cimento 13, 1165 (1959).
[CrossRef]

1938 (1)

F. Zernike, Physica 5, 785 (1938).
[CrossRef]

1930 (1)

N. Wiener, Acta Math. 55, 117 (1930).
[CrossRef]

Collett, E.

E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, New York, 1993).

Friberg, A.

Gori, F.

Martinez-Herrero, R.

J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
[CrossRef]

Mejias, P. M.

J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
[CrossRef]

Movilla, J. M.

J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
[CrossRef]

Parrent, G.

G. Parrent and P. Roman, Nuovo Cimento 10, 370 (1960).
[CrossRef]

Piquero, G.

J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
[CrossRef]

Roman, P.

G. Parrent and P. Roman, Nuovo Cimento 10, 370 (1960).
[CrossRef]

Setala, T.

Tervo, J.

Wiener, N.

N. Wiener, Acta Math. 55, 117 (1930).
[CrossRef]

Wolf, E.

E. Wolf, Phys. Lett. A 312, 263 (2003).
[CrossRef]

E. Wolf, Nuovo Cimento 13, 1165 (1959).
[CrossRef]

Zernike, F.

F. Zernike, Physica 5, 785 (1938).
[CrossRef]

Acta Math. (1)

N. Wiener, Acta Math. 55, 117 (1930).
[CrossRef]

Nuovo Cimento (2)

G. Parrent and P. Roman, Nuovo Cimento 10, 370 (1960).
[CrossRef]

E. Wolf, Nuovo Cimento 13, 1165 (1959).
[CrossRef]

Opt. Commun. (1)

J. M. Movilla, G. Piquero, R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 149, 230 (1998).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Lett. A (1)

E. Wolf, Phys. Lett. A 312, 263 (2003).
[CrossRef]

Physica (1)

F. Zernike, Physica 5, 785 (1938).
[CrossRef]

Other (1)

E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, New York, 1993).

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Tables (1)

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Table 1 Example BCP Matrices and CDMP for Fully Correlated Fields

Equations (6)

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

Jr1,r2,τ=Ep*r1,tEpr2,t+τEp*r1,tEsr2,t+τEs*r1,tEpr2,t+τEs*r1,tEsr2,t+τ,
Jr1,r1,0=ρ01001+ρ1100-1+ρ20110+ρ30-ii0,
Jr1,r2,τ=ν01001+ν1100-1+ν20110+ν30-ii0,
ν1=J11r1,r2,τ-J22r1,r2,τ2, ν2=J12r1,r2,τ+J21r1,r2,τ2, ν3=iJ12r1,r2,τ-J21r1,r2,τ2.
P2=ρ12+ρ22+ρ32ρ02=4ρ12+ρ22+ρ32I2,    0P1.
V2r1,r2,τ=4ν12+ν22+ν32Ir1,tIr2,t+τ.

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