Abstract

We demonstrate that dynamical polarization switching in mutually coupled vertical-cavity surface-emitting lasers (VCSELs) has a profound impact on the chaotic dynamics in the system drastically improving the in-phase (anti-phase) synchronization between the modes of the two VCSELs with the same (orthogonal) polarizations. Furthermore, an exchange of the leader–laggard role is observed with the higher (lower) frequency VCSEL being the leader for lower (higher) coupling strength.

© 2008 Optical Society of America

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  1. A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
    [CrossRef]
  2. T. Heil, I. Fischer, and W. Elssser, Phys. Rev. Lett. 86, 795 (2001).
    [CrossRef] [PubMed]
  3. J. Mulet, C. Masoller, and C. Mirasso, Phys. Rev. A 65, 063815 (2002).
    [CrossRef]
  4. J. Javaloyes, P. Mandel, and D. Pieroux, Phys. Rev. E 67, 036201 (2003).
    [CrossRef]
  5. E. Viktorov, A. Yacomotti, and P. Mandel, J. Opt. B 6, L9 (2004).
    [CrossRef]
  6. N. Fujiwara, Y. Takiguchi, and J. Ohtsubo, Opt. Lett. 28, 1677 (2003).
    [CrossRef] [PubMed]
  7. K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).
  8. R. Vicente, J. Mulet, C. Mirasso, and M. Sciamanna, Opt. Lett. 31, 996 (2006).
    [CrossRef] [PubMed]
  9. W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zou, and M. Y. Wang, J. Opt. Soc. Am. B 25, 153 (2008).
    [CrossRef]
  10. M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).
  11. K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
    [CrossRef]

2008

2006

2004

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

E. Viktorov, A. Yacomotti, and P. Mandel, J. Opt. B 6, L9 (2004).
[CrossRef]

2003

N. Fujiwara, Y. Takiguchi, and J. Ohtsubo, Opt. Lett. 28, 1677 (2003).
[CrossRef] [PubMed]

J. Javaloyes, P. Mandel, and D. Pieroux, Phys. Rev. E 67, 036201 (2003).
[CrossRef]

2002

J. Mulet, C. Masoller, and C. Mirasso, Phys. Rev. A 65, 063815 (2002).
[CrossRef]

2001

T. Heil, I. Fischer, and W. Elssser, Phys. Rev. Lett. 86, 795 (2001).
[CrossRef] [PubMed]

2000

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

1997

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Albert, J.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Blondel, M.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Danckaert, J.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Elssser, W.

T. Heil, I. Fischer, and W. Elssser, Phys. Rev. Lett. 86, 795 (2001).
[CrossRef] [PubMed]

Erneux, T.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Fischer, I.

T. Heil, I. Fischer, and W. Elssser, Phys. Rev. Lett. 86, 795 (2001).
[CrossRef] [PubMed]

Fujiwara, N.

Gavrielides, A.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Giacomelli, G.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Heil, T.

T. Heil, I. Fischer, and W. Elssser, Phys. Rev. Lett. 86, 795 (2001).
[CrossRef] [PubMed]

Hohl, A.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Javaloyes, J.

J. Javaloyes, P. Mandel, and D. Pieroux, Phys. Rev. E 67, 036201 (2003).
[CrossRef]

Kovanis, V.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

Li, X. F.

Luo, B.

Mandel, P.

E. Viktorov, A. Yacomotti, and P. Mandel, J. Opt. B 6, L9 (2004).
[CrossRef]

J. Javaloyes, P. Mandel, and D. Pieroux, Phys. Rev. E 67, 036201 (2003).
[CrossRef]

Marin, F.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Masoller, C.

J. Mulet, C. Masoller, and C. Mirasso, Phys. Rev. A 65, 063815 (2002).
[CrossRef]

Megret, P.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Mihara, T.

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Mirasso, C.

Mulet, J.

Nagler, B.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Ohtsubo, J.

Ozaki, M.

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Pan, W.

Panajotov, K.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Peeters, M.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Pieroux, D.

J. Javaloyes, P. Mandel, and D. Pieroux, Phys. Rev. E 67, 036201 (2003).
[CrossRef]

Ryvkin, B.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Sciamanna, M.

R. Vicente, J. Mulet, C. Mirasso, and M. Sciamanna, Opt. Lett. 31, 996 (2006).
[CrossRef] [PubMed]

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Someya, H.

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Tabaka, A.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Takiguchi, Y.

Thienpont, H.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Uchida, A.

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Veretennicoff, I.

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Verschaffelt, G.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

Vicente, R.

Viktorov, E.

E. Viktorov, A. Yacomotti, and P. Mandel, J. Opt. B 6, L9 (2004).
[CrossRef]

Wang, M. Y.

Yacomotti, A.

E. Viktorov, A. Yacomotti, and P. Mandel, J. Opt. B 6, L9 (2004).
[CrossRef]

Yoshimori, S.

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

Zhang, W. L.

Zou, X. H.

Am. Inst. Phys.

K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, and I. Veretennicoff, Am. Inst. Phys. 560, 403 (2000).

J. Opt. B

E. Viktorov, A. Yacomotti, and P. Mandel, J. Opt. B 6, L9 (2004).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. A

J. Mulet, C. Masoller, and C. Mirasso, Phys. Rev. A 65, 063815 (2002).
[CrossRef]

K. Panajotov, M. Sciamanna, A. Tabaka, P. Megret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Phys. Rev. E

J. Javaloyes, P. Mandel, and D. Pieroux, Phys. Rev. E 67, 036201 (2003).
[CrossRef]

Phys. Rev. Lett.

A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997).
[CrossRef]

T. Heil, I. Fischer, and W. Elssser, Phys. Rev. Lett. 86, 795 (2001).
[CrossRef] [PubMed]

Other

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, and M. Sciamanna, (submitted to Phys. Rev. E).

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Figures (5)

Fig. 1
Fig. 1

Time traces of the x LP modes of VCSELs (a) 1 and (b) 2 for J = 1.2 mA , Δ ν = 10 GHz , and κ 1 , 2 = 30 GHz .

Fig. 2
Fig. 2

Time traces of the (a), (b) x LP modes and (c), (d) y LP modes of (a), (c) VCSEL 1 and (b), (d) VCSEL 2 for J = 1.2 mA , Δ ν = 10 GHz , and κ 1 , 2 = 60 GHz .

Fig. 3
Fig. 3

Correlation coefficients between the (a) x LP states and (b) x and y LP states of VCSELs 1 and 2 as a function of the frequency detuning Δ ν between them for a fixed coupling strength of κ 1 , 2 = 30 GHz .

Fig. 4
Fig. 4

Same as Fig. 3 but for κ 1 , 2 = 60 GHz .

Fig. 5
Fig. 5

Correlation coefficients between the (a) x LP states and (b) x and y LP states of VCSELs 1 and 2 as a function of the coupling strength κ 1 , 2 for a fixed frequency detuning of Δ ν = 10 GHz .

Equations (4)

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d E x 1 , 2 d t = 1 2 ( 1 + j α x 1 , 2 ) [ Γ x 1 , 2 G x 1 , 2 1 τ p x 1 , 2 ] E x 1 , 2 + κ x 2 , 1 E x 2 , 1 ( t τ c 2 , 1 ) exp ( j ω 0 x τ c 2 , 1 ) ± j Δ ω x E x 1 , 2 ,
d E y 1 , 2 d t = 1 2 ( 1 + j α y 1 , 2 ) [ Γ y 1 , 2 G y 1 , 2 1 τ p y 1 , 2 ] E y 1 , 2 + κ y 2 , 1 E y 2 , 1 ( t τ c 2 , 1 ) exp ( j ω 0 y τ c 2 , 1 ) ± j Δ ω y E y 1 , 2 ,
d N 1 , 2 d t = J 1 , 2 e V 1 , 2 N 1 , 2 τ e 1 , 2 G x 1 , 2 E x 1 , 2 2 G y 1 , 2 E y 1 , 2 2 .
C s , p 1 , 2 ( ± τ c ) = P s 1 ( t ± τ c ) P s 1 ¯ P p 2 ( t ) P p 2 ¯ σ s 1 σ p 2 .

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