Abstract

We analyze theoretically the effect of polarization mode competition on the synchronization of two unidirectionally coupled vertical-cavity surface-emitting lasers (VCSELs). Chaos in the master laser is induced by delayed optical feedback, and the slave laser is subject to isotropic optical injection from the master VCSEL. We show that the synchronization quality can be enhanced when the chaotic regime in the master VCSEL involves both fundamental orthogonal linearly polarized modes.

© 2007 Optical Society of America

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  1. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
    [CrossRef] [PubMed]
  2. C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
    [CrossRef]
  3. K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
    [CrossRef]
  4. M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
    [CrossRef] [PubMed]
  5. R. Ju, P. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 1461 (2005).
    [CrossRef]
  6. M. S. Torre, C. Masoller, and K. A. Shore, J. Opt. Soc. Am. B 21, 1772 (2004).
    [CrossRef]
  7. Y. Hong, M. W. Lee, P. Spencer, and K. A. Shore, Opt. Lett. 29, 1215 (2004).
    [CrossRef] [PubMed]
  8. J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
    [CrossRef]
  9. A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
    [CrossRef]
  10. Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
    [CrossRef]
  11. R. Vicente, T. Perez, and C. R. Mirasso, IEEE J. Quantum Electron. 38, 1197 (2002).
    [CrossRef]
  12. K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
    [CrossRef]

2005 (1)

R. Ju, P. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 1461 (2005).
[CrossRef]

2004 (2)

2003 (1)

2002 (1)

R. Vicente, T. Perez, and C. R. Mirasso, IEEE J. Quantum Electron. 38, 1197 (2002).
[CrossRef]

2001 (2)

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

2000 (1)

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

1997 (1)

J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

1996 (1)

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

1995 (1)

K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
[CrossRef]

1990 (1)

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

Abraham, N. B.

J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

Aida, T.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

Blondel, M.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
[CrossRef] [PubMed]

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Carroll, T. L.

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

Chen, H. F.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

Choquette, K. D.

K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
[CrossRef]

Colet, P.

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Danckaert, J.

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Davis, P.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

Garcia-Fernandez, P.

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Georgievski, A.

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Hong, Y.

Ju, R.

R. Ju, P. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 1461 (2005).
[CrossRef]

Lear, L. K.

K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
[CrossRef]

Lee, M. W.

Leibenguth, R. E.

K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
[CrossRef]

Liu, J. M.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

Liu, Y.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

Locquet, A.

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Masoller, C.

Mégret, P.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
[CrossRef] [PubMed]

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Mirasso, C. R.

R. Vicente, T. Perez, and C. R. Mirasso, IEEE J. Quantum Electron. 38, 1197 (2002).
[CrossRef]

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Nagler, B.

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Panajotov, K.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
[CrossRef] [PubMed]

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Pecora, L. M.

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

Perez, T.

R. Vicente, T. Perez, and C. R. Mirasso, IEEE J. Quantum Electron. 38, 1197 (2002).
[CrossRef]

Prati, F.

J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

Regalado, J. M.

J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

Rogister, F.

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

San Miguel, M.

J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

Schneider, R. P.

K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
[CrossRef]

Sciamanna, M.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
[CrossRef] [PubMed]

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Shore, K. A.

Spencer, P.

R. Ju, P. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 1461 (2005).
[CrossRef]

Y. Hong, M. W. Lee, P. Spencer, and K. A. Shore, Opt. Lett. 29, 1215 (2004).
[CrossRef] [PubMed]

Thienpont, H.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
[CrossRef] [PubMed]

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Torre, M. S.

Veretennicoff, I.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, Opt. Lett. 28, 1543 (2003).
[CrossRef] [PubMed]

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Verschaffelt, G.

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

Vicente, R.

R. Vicente, T. Perez, and C. R. Mirasso, IEEE J. Quantum Electron. 38, 1197 (2002).
[CrossRef]

Appl. Phys. Lett. (1)

K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, and I. Veretennicoff, Appl. Phys. Lett. 77, 1590 (2000).
[CrossRef]

IEEE J. Quantum Electron. (3)

R. Ju, P. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 1461 (2005).
[CrossRef]

J. M. Regalado, F. Prati, M. San Miguel, and N. B. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
[CrossRef]

R. Vicente, T. Perez, and C. R. Mirasso, IEEE J. Quantum Electron. 38, 1197 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

K. D. Choquette, R. P. Schneider, L. K. Lear, and R. E. Leibenguth, IEEE J. Sel. Top. Quantum Electron. 1, 661 (1995).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (2)

Phys. Rev. A (1)

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802 (2001).
[CrossRef]

Phys. Rev. E (1)

A. Locquet, F. Rogister, M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Phys. Rev. Lett. (1)

L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Time traces of master and slave laser LP mode intensities for η = f = 6 ns 1 : (a1)–(a4) chaos in both x- and y-LP modes and (b1)–(b4) single-mode chaos.

Fig. 2
Fig. 2

Evolution of the correlation coefficients related to isochronous (a1) and (b1) and anticipative (a2) and (b2) synchronization as a function of η. The gray (black) color corresponds to the case of single-mode (two-mode) chaos.

Fig. 3
Fig. 3

Same as Fig. 2 but with β s p = 10 6 ns 1 .

Fig. 4
Fig. 4

Evolution of C 2 x when increasing γ p .

Equations (6)

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

E ̇ x , y m = κ ( 1 + i α ) [ ( N m 1 ) E x , y m ± i n m E y , x m ] ( γ a + i γ p ) E x , y m + f E x , y m ( t τ ) e i ω m τ + F x , y m ,
E ̇ x , y s = κ ( 1 + i α ) [ ( N s 1 ) E x , y s ± i n s E y , x s ] ( γ a + i γ p ) E x , y s i Δ ω E x , y s + η E x , y m ( t ) + F x , y s ,
N ̇ m , s = γ [ N m , s μ + N m , s ( E x m , s 2 + E y m , s 2 ) ] i γ n m , s ( E y m , s E x m , s * E x m , s E y m , s * ) ,
n ̇ m , s = γ s n s m , s γ [ n m , s ( E x m , s 2 + E y m , s 2 ) ] i γ N m , s ( E y m , s E x m , s * E x m , s E y m , s * ) .
C 1 x , y = [ I x , y m ( t ) I x , y m ] [ I x , y s ( t ) I x , y s ] { [ I x , y m ( t ) I x , y m ] 2 [ I x , y s ( t ) I x , y s ] 2 } 1 2 ,
C 2 x , y = [ I x , y m ( t + τ ) I x , y m ] [ I x , y s ( t ) I x , y s ] { [ I x , y m ( t ) I x , y m ] 2 [ I x , y s ( t ) I x , y s ] 2 } 1 2 .

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