Abstract

We introduce a class of sources that turn out to be J0 correlated in a scalar description but exhibit varied correlation properties when examined in electromagnetic terms. We prove that a modal expansion can be built explicitly for any of these sources and give an example to illustrate the richness of their behavior.

© 2008 Optical Society of America

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2008 (1)

2007 (1)

L. Rao, X. Zheng, Z. Wang, and P. Yei, Opt. Commun. 281, 1358 (2007).
[CrossRef]

2006 (5)

2005 (3)

P. Réfrégier and F. Goudail, Opt. Express 13, 6051 (2005).
[CrossRef] [PubMed]

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

T. Shirai, Opt. Commun. 256, 197 (2005).
[CrossRef]

2004 (2)

R. Martínez-Herrero, G. Piquero, and P. Mejías, J. Opt. A 6, S67 (2004).
[CrossRef]

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

2003 (5)

2002 (1)

L. Pan and B. Lü, Optik (Jena) 113, 459 (2002).

2001 (2)

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

S. A. Ponomarenko, J. Opt. Soc. Am. A 18, 150 (2001).
[CrossRef]

2000 (1)

1999 (2)

R. Borghi, IEEE J. Quantum Electron. 35, 849 (1999).
[CrossRef]

S. R. Seshadri, J. Opt. Soc. Am. A 16, 1373 (1999).
[CrossRef]

1998 (2)

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, J. Opt. A 7, 941 (1998).

P. Greene and D. Hall, J. Opt. Soc. Am. A 15, 3020 (1998).
[CrossRef]

1997 (1)

C. Palma and G. Cincotti, IEEE J. Quantum Electron. 33, 1032 (1997).
[CrossRef]

1995 (1)

1994 (1)

1993 (1)

1991 (1)

1987 (1)

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

1986 (1)

Abramowitz, M.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1972).

Agarwal, G. S.

Alonso, M. A.

M. A. Alonso, O. Korotkova, and E. Wolf, J. Mod. Opt. 53, 969 (2006).
[CrossRef]

Ayanides, J.-P.

J. Garnier, J.-P. Ayanides, and O. Morice, J. Opt. Soc. Am. A 20, 1409 (2003).
[CrossRef]

Borghi, R.

Brosseau, C.

C. Brosseau, Fundamentals of Polarized Light (Wiley, 1998).

Cincotti, G.

C. Palma and G. Cincotti, IEEE J. Quantum Electron. 33, 1032 (1997).
[CrossRef]

De Santis, P.

Friberg, A. T.

Garnier, J.

J. Garnier, J.-P. Ayanides, and O. Morice, J. Opt. Soc. Am. A 20, 1409 (2003).
[CrossRef]

Gbur, G.

Gori, F.

Goudail, F.

Greene, P.

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, J. Opt. A 7, 941 (1998).

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

P. De Santis, F. Gori, G. Guattari, and C. Palma, J. Opt. Soc. Am. A 3, 1258 (1986).
[CrossRef]

Hall, D.

James, D. F. V.

Korotkova, O.

M. A. Alonso, O. Korotkova, and E. Wolf, J. Mod. Opt. 53, 969 (2006).
[CrossRef]

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

Kowarz, M. W.

Lü, B.

L. Wang and B. Lü, Optik (Jena) 117, 167 (2006).

L. Pan and B. Lü, Optik (Jena) 113, 459 (2002).

Luis, A.

Mandel, L.

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

Martínez-Herrero, R.

R. Martínez-Herrero, G. Piquero, and P. Mejías, J. Opt. A 6, S67 (2004).
[CrossRef]

Mejías, P.

R. Martínez-Herrero, G. Piquero, and P. Mejías, J. Opt. A 6, S67 (2004).
[CrossRef]

Mondello, A.

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

Morice, O.

J. Garnier, J.-P. Ayanides, and O. Morice, J. Opt. Soc. Am. A 20, 1409 (2003).
[CrossRef]

Mukunda, N.

Padovani, C.

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

Palma, C.

Pan, L.

L. Pan and B. Lü, Optik (Jena) 113, 459 (2002).

Piquero, G.

R. Martínez-Herrero, G. Piquero, and P. Mejías, J. Opt. A 6, S67 (2004).
[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 3, 1 (2001).
[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000).
[CrossRef]

Ponomarenko, S. A.

Rao, L.

L. Rao, X. Zheng, Z. Wang, and P. Yei, Opt. Commun. 281, 1358 (2007).
[CrossRef]

Réfrégier, P.

Roychowdhury, H.

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

Santarsiero, M.

Seshadri, S. R.

Setälä, T.

Shirai, T.

T. Shirai, Opt. Commun. 256, 197 (2005).
[CrossRef]

Simon, R.

Stegun, I.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1972).

Sundar, K.

Tervo, J.

Turunen, J.

van Dijk, T.

Vasara, A.

Vicalvi, S.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, J. Opt. A 7, 941 (1998).

Visser, T. D.

Wang, L.

L. Wang and B. Lü, Optik (Jena) 117, 167 (2006).

Wang, Z.

L. Rao, X. Zheng, Z. Wang, and P. Yei, Opt. Commun. 281, 1358 (2007).
[CrossRef]

Wolf, E.

M. A. Alonso, O. Korotkova, and E. Wolf, J. Mod. Opt. 53, 969 (2006).
[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, and E. Wolf, Opt. Lett. 31, 688 (2006).
[CrossRef] [PubMed]

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

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

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

Yei, P.

L. Rao, X. Zheng, Z. Wang, and P. Yei, Opt. Commun. 281, 1358 (2007).
[CrossRef]

Zheng, X.

L. Rao, X. Zheng, Z. Wang, and P. Yei, Opt. Commun. 281, 1358 (2007).
[CrossRef]

IEEE J. Quantum Electron. (2)

C. Palma and G. Cincotti, IEEE J. Quantum Electron. 33, 1032 (1997).
[CrossRef]

R. Borghi, IEEE J. Quantum Electron. 35, 849 (1999).
[CrossRef]

J. Mod. Opt. (1)

M. A. Alonso, O. Korotkova, and E. Wolf, J. Mod. Opt. 53, 969 (2006).
[CrossRef]

J. Opt. A (3)

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

R. Martínez-Herrero, G. Piquero, and P. Mejías, J. Opt. A 6, S67 (2004).
[CrossRef]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, J. Opt. A 7, 941 (1998).

J. Opt. Soc. Am. A (13)

Opt. Commun. (4)

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

L. Rao, X. Zheng, Z. Wang, and P. Yei, Opt. Commun. 281, 1358 (2007).
[CrossRef]

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

T. Shirai, Opt. Commun. 256, 197 (2005).
[CrossRef]

Opt. Express (2)

Opt. Lett. (4)

Optik (Jena) (2)

L. Pan and B. Lü, Optik (Jena) 113, 459 (2002).

L. Wang and B. Lü, Optik (Jena) 117, 167 (2006).

Phys. Lett. A (1)

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

Other (4)

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

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1972).

C. Brosseau, Fundamentals of Polarized Light (Wiley, 1998).

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

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Equations (15)

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W ( r 1 , r 2 ) = τ ( r 1 ) τ * ( r 2 ) J 0 ( β r 1 r 2 ) ,
W inc ( φ 1 , φ 2 ) = I inc ( φ 1 ) δ ( φ 1 φ 2 ) ,
0 2 π W inc ( φ 1 , φ 2 ) Φ ( φ 2 ) d φ 2 = Λ Φ ( φ 1 ) ,
I inc ( φ ) Φ ( φ ) = Λ Φ ( φ ) .
W inc ( φ 1 , φ 2 ) = Λ n = + Ψ n ( φ 1 ) Ψ n * ( φ 2 ) ,
W ̂ inc ( φ 1 , φ 2 ) = I ̂ inc ( φ 1 ) δ ( φ 1 φ 2 ) ,
0 2 π W ̂ inc ( φ 1 , φ 2 ) Ψ ( φ 2 ) d φ 2 = Λ Ψ ( φ 1 ) ,
Ψ ( φ ) = [ Ψ x ( φ ) Ψ y ( φ ) ] ,
I ̂ inc ( φ ) Ψ ( φ ) = Λ Ψ ( φ ) ,
Φ i ( φ ) Φ j ( φ ) = δ i , j .
I ̂ inc ( φ ) = i = 1 , 2 γ i Φ i ( φ ) Φ i ( φ ) ,
W ̂ inc ( φ 1 , φ 2 ) = i = 1 , 2 γ i n = + Ψ i , n ( φ 1 ) Ψ i , n ( φ 2 ) ,
Ψ i , n ( φ ) = 1 2 π Φ i ( φ ) exp ( i n φ )
W ̂ inc ( φ 1 , φ 2 ) = [ 1 + cos 2 φ 1 sin φ 1 cos φ 1 sin φ 1 cos φ 1 1 + sin 2 φ 1 ] δ ( φ 1 φ 2 ) ,
{ W x x ( r 1 , r 2 ) = τ ( r 1 ) τ * ( r 2 ) [ J 0 ( β r 12 ) 1 3 J 2 ( β r 12 ) cos ( 2 ϑ 12 ) ] W x y ( r 1 , r 2 ) = 1 3 τ ( r 1 ) τ * ( r 2 ) J 2 ( β r 12 ) sin ( 2 ϑ 12 ) W y y ( r 1 , r 2 ) = τ ( r 1 ) τ * ( r 2 ) [ J 0 ( β r 12 ) + 1 3 J 2 ( β r 12 ) cos ( 2 ϑ 12 ) ] } ,

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