Abstract

It is experimentally demonstrated that the response of a bistable vertical-cavity surface-emitting laser at a selected polarization to the effect of the modulated optical feedback at the orthogonal polarization can be considerably enhanced by the additional periodic current modulation via vibrational resonance. It shows up as a nonmonotonic dependence of the response at the frequency of the modulated optical feedback as a function of the amplitude of the current modulation. In such conditions the laser response can be amplified more than 80 times for a weak optical feedback. At the optimal amplitude of the current modulation a complete synchronization of optical switchings between polarization states with modulated optical feedback is observed. The effect of asymmetry of a bistable quasi-potential is also experimentally demonstrated.

© 2012 Optical Society of America

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References

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  1. M. Sciamanna and K. Panayotov, in Recent Advances in Laser Dynamics: Control and Synchronization, A. Pisarchik, ed. (Research Signpost, 2008), pp. 321–359.
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    [CrossRef]
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  6. J. Houlihan, L. Lewis, and G. Huyet, Opt. Commun. 232, 391 (2004).
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  7. P. S. Landa and P. V. E. McClintock, J. Phys. A 33, L433 (2000).
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  8. A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
    [CrossRef]
  9. E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
    [CrossRef]
  10. J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2008 (1)

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 77, 051126 (2008).
[CrossRef]

2007 (1)

2006 (1)

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 73, 022103 (2006).
[CrossRef]

2005 (2)

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. A 71, 011801(R) (2005).
[CrossRef]

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 619 (2005).
[CrossRef]

2004 (2)

Y. Hong, P. S. Spencer, and K. A. Shore, Opt. Lett. 29, 2151 (2004).
[CrossRef]

J. Houlihan, L. Lewis, and G. Huyet, Opt. Commun. 232, 391 (2004).
[CrossRef]

2003 (4)

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

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

V. N. Chizhevsky, E. Smeu, and G. Giacomelli, Phys. Rev. Lett. 91, 220602 (2003).
[CrossRef]

2002 (1)

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

2000 (1)

P. S. Landa and P. V. E. McClintock, J. Phys. A 33, L433 (2000).
[CrossRef]

1998 (1)

G. Giacomelli and F. Marin, Quantum Semiclass Opt. 10, 469 (1998).
[CrossRef]

Baltanas, J. P.

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

Bascones, R.

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

Blekhman, I. I.

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

Blondel, M.

Chizhevsky, V. N.

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 77, 051126 (2008).
[CrossRef]

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 73, 022103 (2006).
[CrossRef]

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. A 71, 011801(R) (2005).
[CrossRef]

V. N. Chizhevsky, E. Smeu, and G. Giacomelli, Phys. Rev. Lett. 91, 220602 (2003).
[CrossRef]

Garcia-Ojalvo, J.

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

Giacomelli, G.

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 77, 051126 (2008).
[CrossRef]

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 73, 022103 (2006).
[CrossRef]

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. A 71, 011801(R) (2005).
[CrossRef]

V. N. Chizhevsky, E. Smeu, and G. Giacomelli, Phys. Rev. Lett. 91, 220602 (2003).
[CrossRef]

G. Giacomelli and F. Marin, Quantum Semiclass Opt. 10, 469 (1998).
[CrossRef]

Hong, Y.

Houlihan, J.

J. Houlihan, L. Lewis, and G. Huyet, Opt. Commun. 232, 391 (2004).
[CrossRef]

Huyet, G.

J. Houlihan, L. Lewis, and G. Huyet, Opt. Commun. 232, 391 (2004).
[CrossRef]

Ju, R.

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 619 (2005).
[CrossRef]

Kurths, J.

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

Landa, P. S.

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

P. S. Landa and P. V. E. McClintock, J. Phys. A 33, L433 (2000).
[CrossRef]

Lewis, L.

J. Houlihan, L. Lewis, and G. Huyet, Opt. Commun. 232, 391 (2004).
[CrossRef]

Lopez, L.

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

Marin, F.

G. Giacomelli and F. Marin, Quantum Semiclass Opt. 10, 469 (1998).
[CrossRef]

Masoller, C.

McClintock, P. V. E.

P. S. Landa and P. V. E. McClintock, J. Phys. A 33, L433 (2000).
[CrossRef]

Mégret, P.

Panajotov, K.

Panayotov, K.

M. Sciamanna and K. Panayotov, in Recent Advances in Laser Dynamics: Control and Synchronization, A. Pisarchik, ed. (Research Signpost, 2008), pp. 321–359.

Paul, J.

Sanjuan, M. A. F.

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

Sciamanna, M.

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

M. Sciamanna and K. Panayotov, in Recent Advances in Laser Dynamics: Control and Synchronization, A. Pisarchik, ed. (Research Signpost, 2008), pp. 321–359.

Shore, K. A.

Smeu, E.

V. N. Chizhevsky, E. Smeu, and G. Giacomelli, Phys. Rev. Lett. 91, 220602 (2003).
[CrossRef]

Spencer, P. S.

Thienpont, H.

Ullner, E.

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

Veretennicoff, I.

Zaikin, A.

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

Zaikin, A. A.

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

IEEE J. Quantum Electron. (1)

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, IEEE J. Quantum Electron. 41, 619 (2005).
[CrossRef]

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

J. Phys. A (1)

P. S. Landa and P. V. E. McClintock, J. Phys. A 33, L433 (2000).
[CrossRef]

Opt. Commun. (1)

J. Houlihan, L. Lewis, and G. Huyet, Opt. Commun. 232, 391 (2004).
[CrossRef]

Opt. Lett. (2)

Phys. Lett. A (1)

E. Ullner, A. Zaikin, J. Garcia-Ojalvo, R. Bascones, and J. Kurths, Phys. Lett. A 312, 348 (2003).
[CrossRef]

Phys. Rev. A (1)

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. A 71, 011801(R) (2005).
[CrossRef]

Phys. Rev. E (4)

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 77, 051126 (2008).
[CrossRef]

V. N. Chizhevsky and G. Giacomelli, Phys. Rev. E 73, 022103 (2006).
[CrossRef]

J. P. Baltanas, L. Lopez, I. I. Blekhman, P. S. Landa, A. Zaikin, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 67, 066119 (2003).
[CrossRef]

A. A. Zaikin, L. Lopez, J. P. Baltanas, J. Kurths, and M. A. F. Sanjuan, Phys. Rev. E 66, 011106 (2002).
[CrossRef]

Phys. Rev. Lett. (1)

V. N. Chizhevsky, E. Smeu, and G. Giacomelli, Phys. Rev. Lett. 91, 220602 (2003).
[CrossRef]

Quantum Semiclass Opt. (1)

G. Giacomelli and F. Marin, Quantum Semiclass Opt. 10, 469 (1998).
[CrossRef]

Other (1)

M. Sciamanna and K. Panayotov, in Recent Advances in Laser Dynamics: Control and Synchronization, A. Pisarchik, ed. (Research Signpost, 2008), pp. 321–359.

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Figures (5)

Fig. 1.
Fig. 1.

(a) Experimental setup: CS, current source; TC, temperature controller; SG, signal generator; HWP, half wave plate; G, Glan prism; PD, photodiode; A, amplifier; S, USB digital oscilloscope; C, mechanical chopper; NDF, neutral-density filter; M, mirror; PC, computer. (b) The laser intensity on the Y-polarization in the absence of the optical feedback as dc current Jdc is increased (1) and decreased (2).

Fig. 2.
Fig. 2.

Temporal laser responses on Y-polarization in the absence (a) and with optimal amplitude (b) of the current modulation (AH=0 and 0.2mA, respectively). (c) The signal of modulated POF at X-polarization with feedback ratio 0.075. Jdc17.07mA.

Fig. 3.
Fig. 3.

(a) Gain factor GVR, (b) the response of VCSEL on the Y-polarization RH at the frequency of the current modulation fH, (c) the signal-to-noise-ratio (SNR), and (d) the cross-correlation coefficient CXY between the signal of modulated POF IX and the laser response IY shown for two values of the feedback ratio 0.014 (1) and 0.038 (2), respectively.

Fig. 4.
Fig. 4.

Effect of asymmetry on the gain factor GVR as a function of AH and Jdc.

Fig. 5.
Fig. 5.

(a) Temporal laser response on the Y-polarization with optimal amplitude of the current modulation (AH=0.225mA) in the asymmetrical case. (b) The signal of the modulated POF. Feedback ratio is 0.014.

Equations (1)

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CXY=IXIYIXIY[(IX2IX2)(IY2IY2)]1/2.

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