Abstract

The interaction of an electromagnetic Gaussian Schell-model (EGSM) beam with a Gaussian cavity is analyzed. In particular, the evolution of the degree of polarization of the EGSM beam is investigated. The results show that the behavior of the degree of polarization depends on both the statistical properties of the source that generates the EGSM beam and the parameters of the cavity.

© 2008 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. F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, J. Opt. A 3, 1 (2001).
    [Crossref]
  3. E. Wolf, Phys. Lett. A 312, 263 (2003).
    [Crossref]
  4. O. Korotkova, M. Salem, and E. Wolf, Opt. Lett. 29, 1173 (2004).
    [Crossref] [PubMed]
  5. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge U. Press, 2007).
  6. G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
    [Crossref]
  7. T. Shirai, O. Korotkova, and E. Wolf, J. Opt. A 7, 232 (2005).
    [Crossref]
  8. H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
    [Crossref]
  9. F. Gori, M. Santarsiero, R. Borghi, and V. Ramírez-Sánchez, J. Opt. Soc. Am. A 25, 1016 (2008).
    [Crossref]
  10. O. Korotkova and E. Wolf, Opt. Commun. 246, 35 (2005).
    [Crossref]
  11. O. Korotkova, M. Salem, and E. Wolf, Opt. Commun. 233, 225 (2004).
    [Crossref]
  12. H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, J. Mod. Opt. 52, 1611 (2005).
    [Crossref]
  13. H. T. Eyyuboğlu, Y. Baykal, Y. Cai, Appl. Phys. B 89, 91 (2007).
    [Crossref]
  14. W. Gao, Opt. Commun. 260, 749 (2006).
    [Crossref]
  15. W. Gao and O. Korotkova, Opt. Commun. 270, 474 (2007).
    [Crossref]
  16. Y. Cai, D. Ge, and Q. Lin, J. Opt. A 5, 453 (2003).
    [Crossref]
  17. D. Ge, Y. Cai, and Q. Lin, Chin. Phys. 14, 128 (2005).
    [Crossref]
  18. A. G. Fox and T. Li, Bell Syst. Tech. J. 40, 453 (1961).
  19. E. Wolf, Phys. Lett. 3, 166 (1963).
    [Crossref]
  20. E. Wolf and G. S. Agarwal, J. Opt. Soc. Am. A 1, 541 (1984).
    [Crossref]
  21. F. Gori, Atti Fond. Giorgio Ronchi 35, 434 (1980).
  22. C. Palma, G. Cardone, and G. Cincotti, IEEE J. Quantum Electron. 34, 1082 (1998).
    [Crossref]
  23. P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
    [Crossref]
  24. T. Saastamoinen, J. Turunen, J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. A 22, 103 (2005).
    [Crossref]
  25. E. Wolf, Opt. Commun. 265, 60 (2006).
    [Crossref]
  26. Q. Lin and Y. Cai, Opt. Lett. 27, 216 (2002).
    [Crossref]
  27. L. W. Casperson and S. D. Lunnam, Appl. Opt. 14, 1193 (1975).
    [Crossref] [PubMed]
  28. H. Kogelnik and T. Li, Appl. Opt. 5, 1550 (1966).
    [Crossref] [PubMed]

2008 (1)

2007 (2)

H. T. Eyyuboğlu, Y. Baykal, Y. Cai, Appl. Phys. B 89, 91 (2007).
[Crossref]

W. Gao and O. Korotkova, Opt. Commun. 270, 474 (2007).
[Crossref]

2006 (2)

W. Gao, Opt. Commun. 260, 749 (2006).
[Crossref]

E. Wolf, Opt. Commun. 265, 60 (2006).
[Crossref]

2005 (6)

T. Saastamoinen, J. Turunen, J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. A 22, 103 (2005).
[Crossref]

H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, J. Mod. Opt. 52, 1611 (2005).
[Crossref]

D. Ge, Y. Cai, and Q. Lin, Chin. Phys. 14, 128 (2005).
[Crossref]

O. Korotkova and E. Wolf, Opt. Commun. 246, 35 (2005).
[Crossref]

T. Shirai, O. Korotkova, and E. Wolf, J. Opt. A 7, 232 (2005).
[Crossref]

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[Crossref]

2004 (2)

O. Korotkova, M. Salem, and E. Wolf, Opt. Commun. 233, 225 (2004).
[Crossref]

O. Korotkova, M. Salem, and E. Wolf, Opt. Lett. 29, 1173 (2004).
[Crossref] [PubMed]

2003 (2)

Y. Cai, D. Ge, and Q. Lin, J. Opt. A 5, 453 (2003).
[Crossref]

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

2002 (2)

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

Q. Lin and Y. Cai, Opt. Lett. 27, 216 (2002).
[Crossref]

2001 (1)

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

1998 (2)

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

C. Palma, G. Cardone, and G. Cincotti, IEEE J. Quantum Electron. 34, 1082 (1998).
[Crossref]

1996 (1)

P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
[Crossref]

1984 (1)

1980 (1)

F. Gori, Atti Fond. Giorgio Ronchi 35, 434 (1980).

1975 (1)

1966 (1)

1963 (1)

E. Wolf, Phys. Lett. 3, 166 (1963).
[Crossref]

1961 (1)

A. G. Fox and T. Li, Bell Syst. Tech. J. 40, 453 (1961).

Agarwal, G. S.

Baykal, Y.

H. T. Eyyuboğlu, Y. Baykal, Y. Cai, Appl. Phys. B 89, 91 (2007).
[Crossref]

Borghi, R.

F. Gori, M. Santarsiero, R. Borghi, and V. Ramírez-Sánchez, J. Opt. Soc. Am. A 25, 1016 (2008).
[Crossref]

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

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

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

Cai, Y.

H. T. Eyyuboğlu, Y. Baykal, Y. Cai, Appl. Phys. B 89, 91 (2007).
[Crossref]

D. Ge, Y. Cai, and Q. Lin, Chin. Phys. 14, 128 (2005).
[Crossref]

Y. Cai, D. Ge, and Q. Lin, J. Opt. A 5, 453 (2003).
[Crossref]

Q. Lin and Y. Cai, Opt. Lett. 27, 216 (2002).
[Crossref]

Cardone, G.

C. Palma, G. Cardone, and G. Cincotti, IEEE J. Quantum Electron. 34, 1082 (1998).
[Crossref]

Casperson, L. W.

Cincotti, G.

C. Palma, G. Cardone, and G. Cincotti, IEEE J. Quantum Electron. 34, 1082 (1998).
[Crossref]

DeSantis, P.

P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
[Crossref]

Eyyuboglu, H. T.

H. T. Eyyuboğlu, Y. Baykal, Y. Cai, Appl. Phys. B 89, 91 (2007).
[Crossref]

Fox, A. G.

A. G. Fox and T. Li, Bell Syst. Tech. J. 40, 453 (1961).

Friberg, A. T.

Gao, W.

W. Gao and O. Korotkova, Opt. Commun. 270, 474 (2007).
[Crossref]

W. Gao, Opt. Commun. 260, 749 (2006).
[Crossref]

Ge, D.

D. Ge, Y. Cai, and Q. Lin, Chin. Phys. 14, 128 (2005).
[Crossref]

Y. Cai, D. Ge, and Q. Lin, J. Opt. A 5, 453 (2003).
[Crossref]

Gori, F.

F. Gori, M. Santarsiero, R. Borghi, and V. Ramírez-Sánchez, J. Opt. Soc. Am. A 25, 1016 (2008).
[Crossref]

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

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

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

F. Gori, Atti Fond. Giorgio Ronchi 35, 434 (1980).

Guattari, G.

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

Kogelnik, H.

Korotkova, O.

W. Gao and O. Korotkova, Opt. Commun. 270, 474 (2007).
[Crossref]

T. Shirai, O. Korotkova, and E. Wolf, J. Opt. A 7, 232 (2005).
[Crossref]

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[Crossref]

O. Korotkova and E. Wolf, Opt. Commun. 246, 35 (2005).
[Crossref]

O. Korotkova, M. Salem, and E. Wolf, Opt. Commun. 233, 225 (2004).
[Crossref]

O. Korotkova, M. Salem, and E. Wolf, Opt. Lett. 29, 1173 (2004).
[Crossref] [PubMed]

Li, T.

H. Kogelnik and T. Li, Appl. Opt. 5, 1550 (1966).
[Crossref] [PubMed]

A. G. Fox and T. Li, Bell Syst. Tech. J. 40, 453 (1961).

Lin, Q.

D. Ge, Y. Cai, and Q. Lin, Chin. Phys. 14, 128 (2005).
[Crossref]

Y. Cai, D. Ge, and Q. Lin, J. Opt. A 5, 453 (2003).
[Crossref]

Q. Lin and Y. Cai, Opt. Lett. 27, 216 (2002).
[Crossref]

Lunnam, S. D.

Mascello, A.

P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
[Crossref]

Mondello, A.

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

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

Palma, C.

C. Palma, G. Cardone, and G. Cincotti, IEEE J. Quantum Electron. 34, 1082 (1998).
[Crossref]

P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
[Crossref]

Perrone, M. R.

P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
[Crossref]

Piquero, G.

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

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

Ponomarenko, S. A.

H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, J. Mod. Opt. 52, 1611 (2005).
[Crossref]

Ramírez-Sánchez, V.

Romanini, P.

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

Roychowdhury, H.

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[Crossref]

H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, J. Mod. Opt. 52, 1611 (2005).
[Crossref]

Saastamoinen, T.

Salem, M.

O. Korotkova, M. Salem, and E. Wolf, Opt. Lett. 29, 1173 (2004).
[Crossref] [PubMed]

O. Korotkova, M. Salem, and E. Wolf, Opt. Commun. 233, 225 (2004).
[Crossref]

Santarsiero, M.

F. Gori, M. Santarsiero, R. Borghi, and V. Ramírez-Sánchez, J. Opt. Soc. Am. A 25, 1016 (2008).
[Crossref]

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

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

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

Setälä, T.

Shirai, T.

T. Shirai, O. Korotkova, and E. Wolf, J. Opt. A 7, 232 (2005).
[Crossref]

Simon, R.

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

E. Wolf, Opt. Commun. 265, 60 (2006).
[Crossref]

T. Shirai, O. Korotkova, and E. Wolf, J. Opt. A 7, 232 (2005).
[Crossref]

O. Korotkova and E. Wolf, Opt. Commun. 246, 35 (2005).
[Crossref]

H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, J. Mod. Opt. 52, 1611 (2005).
[Crossref]

O. Korotkova, M. Salem, and E. Wolf, Opt. Commun. 233, 225 (2004).
[Crossref]

O. Korotkova, M. Salem, and E. Wolf, Opt. Lett. 29, 1173 (2004).
[Crossref] [PubMed]

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

E. Wolf and G. S. Agarwal, J. Opt. Soc. Am. A 1, 541 (1984).
[Crossref]

E. Wolf, Phys. Lett. 3, 166 (1963).
[Crossref]

E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge U. Press, 2007).

Appl. Opt. (2)

Appl. Phys. B (1)

H. T. Eyyuboğlu, Y. Baykal, Y. Cai, Appl. Phys. B 89, 91 (2007).
[Crossref]

Atti Fond. Giorgio Ronchi (1)

F. Gori, Atti Fond. Giorgio Ronchi 35, 434 (1980).

Bell Syst. Tech. J. (1)

A. G. Fox and T. Li, Bell Syst. Tech. J. 40, 453 (1961).

Chin. Phys. (1)

D. Ge, Y. Cai, and Q. Lin, Chin. Phys. 14, 128 (2005).
[Crossref]

IEEE J. Quantum Electron. (2)

C. Palma, G. Cardone, and G. Cincotti, IEEE J. Quantum Electron. 34, 1082 (1998).
[Crossref]

P. DeSantis, A. Mascello, C. Palma, and M. R. Perrone, IEEE J. Quantum Electron. 32, 802 (1996).
[Crossref]

J. Mod. Opt. (1)

H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, J. Mod. Opt. 52, 1611 (2005).
[Crossref]

J. Opt. A (3)

Y. Cai, D. Ge, and Q. Lin, J. Opt. A 5, 453 (2003).
[Crossref]

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

T. Shirai, O. Korotkova, and E. Wolf, J. Opt. A 7, 232 (2005).
[Crossref]

J. Opt. Soc. Am. A (3)

Opt. Commun. (7)

E. Wolf, Opt. Commun. 265, 60 (2006).
[Crossref]

O. Korotkova and E. Wolf, Opt. Commun. 246, 35 (2005).
[Crossref]

O. Korotkova, M. Salem, and E. Wolf, Opt. Commun. 233, 225 (2004).
[Crossref]

W. Gao, Opt. Commun. 260, 749 (2006).
[Crossref]

W. Gao and O. Korotkova, Opt. Commun. 270, 474 (2007).
[Crossref]

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[Crossref]

G. Piquero, F. Gori, P. Romanini, M. Santarsiero, R. Borghi, and A. Mondello, Opt. Commun. 208, 9 (2002).
[Crossref]

Opt. Lett. (2)

Phys. Lett. (1)

E. Wolf, Phys. Lett. 3, 166 (1963).
[Crossref]

Phys. Lett. A (1)

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

Pure Appl. Opt. (1)

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

Other (1)

E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge U. Press, 2007).

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Figures (2)

Fig. 1
Fig. 1

DOP (on-axis) versus N for different values of cavity parameter g and the source correlation coefficients: m 1 , δ x x = δ y y = 0.1 mm , δ x y = δ y x = 0.2 mm ; m 2 , δ x x = δ y y = 0.25 mm , δ x y = δ y x = 0.5 mm ; m 3 , δ x x = δ y y = 0.5 mm , δ x y = δ y x = 1 mm .

Fig. 2
Fig. 2

DOP (on-axis) versus N for different values of mirror spot size ε in a Gaussian plane-parallel cavity ( g = 1 ) with δ x x = δ y y = 0.1 mm and δ x y = δ y x = 0.2 mm .

Equations (7)

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

W α β ( r ̃ ) = A α A β B α β exp [ i k 2 r ̃ T M 0 α β 1 r ̃ ] , ( α = x , y ; β = x , y ) ,
M 0 α β 1 = ( 1 i k ( 1 2 σ a 2 + 1 δ α β 2 ) I i k δ α β 2 I i k δ α β 2 I 1 i k ( 1 2 σ β 2 + 1 δ α β 2 ) I ) ,
W α β ( ρ ̃ ) = A α A β B α β [ d et ( A ¯ + B ¯ M 0 α β 1 ) ] 1 2 exp [ i k 2 ρ ̃ T ( C ¯ + D ¯ M 0 α β 1 ) ( A ¯ + B ¯ M 0 α β 1 ) 1 ρ ̃ ] ,
A ¯ = ( A 0 I 0 I A * ) , B ¯ = ( B 0 I 0 I B * ) ,
C ¯ = ( C 0 I 0 I C * ) , D ¯ = ( D 0 I 0 I D * ) ,
( A B C D ) = ( I L I ( 2 R i λ π ε 2 ) I ( 1 2 L R i λ L π ε 2 ) I ) N .
P ( r ) = 1 4 d et W ( r , r ) [ Tr W ( r , r ) ] 2 ,

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