Abstract

We study the feedback-induced instabilities in a quantum dot semiconductor laser emitting in both ground and excited states. Without optical feedback the device exhibits dynamics corresponding to antiphase fluctuations between ground and excited states, while the total output power remains constant. The introduction of feedback leads to power dropouts in the ground state and intensity bursts in the excited state, resulting in a practically constant total output power.

© 2006 Optical Society of America

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  1. Special issue of J. Phys. D 38, 1-24 (2005).
  2. J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
    [CrossRef]
  3. T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
    [CrossRef]
  4. A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
    [CrossRef]
  5. M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
    [CrossRef]
  6. S. Fathpour, Z. Mi, and P. Bhattacharya, J. Phys. D 38, 2103 (2005).
    [CrossRef]
  7. D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
    [CrossRef]
  8. A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
    [CrossRef]
  9. B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
    [CrossRef]
  10. D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, 1999).
  11. E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
    [CrossRef]
  12. A. Olsson and C. L. Tang, IEEE J. Quantum Electron. 17, 1320 (1981).
    [CrossRef]
  13. R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
    [CrossRef]
  14. D. Pieroux and P. Mandel, Phys. Rev. E 68, 036204 (2003).
    [CrossRef]

2005 (4)

Special issue of J. Phys. D 38, 1-24 (2005).

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

S. Fathpour, Z. Mi, and P. Bhattacharya, J. Phys. D 38, 2103 (2005).
[CrossRef]

2004 (2)

J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
[CrossRef]

A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
[CrossRef]

2003 (3)

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

D. Pieroux and P. Mandel, Phys. Rev. E 68, 036204 (2003).
[CrossRef]

2002 (1)

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

1999 (1)

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

1981 (1)

A. Olsson and C. L. Tang, IEEE J. Quantum Electron. 17, 1320 (1981).
[CrossRef]

1980 (1)

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Bhattacharya, P.

S. Fathpour, Z. Mi, and P. Bhattacharya, J. Phys. D 38, 2103 (2005).
[CrossRef]

Bimberg, D.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, 1999).

Bossert, D.

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

Chen, J. X.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

Corbett, B.

J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
[CrossRef]

Dagens, B.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

Eliseev, P. G.

A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
[CrossRef]

Fathpour, S.

S. Fathpour, Z. Mi, and P. Bhattacharya, J. Phys. D 38, 2103 (2005).
[CrossRef]

Fiore, A.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

Fuchs, B.

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

Gauthier-Lafaye, O.

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

Gouezigou, O. L.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

Grundmann, M.

D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, 1999).

Hegarty, S. P.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Houlihan, J.

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
[CrossRef]

Huyet, G.

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
[CrossRef]

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Kettler, T.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Kobayashi, K.

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Kovsch, A.

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

Kuntz, M.

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

Laemmlin, M.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Landreau, J.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

Lang, R.

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Ledenstov, N.

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

Ledentsov, N. N.

D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, 1999).

Lester, L.

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

Make, D.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

Malloy, K.

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

Malloy, K. J.

A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
[CrossRef]

Mandel, P.

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

D. Pieroux and P. Mandel, Phys. Rev. E 68, 036204 (2003).
[CrossRef]

Markus, A.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

McInerney, J. G.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Mi, Z.

S. Fathpour, Z. Mi, and P. Bhattacharya, J. Phys. D 38, 2103 (2005).
[CrossRef]

Mikhrin, S. S.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Muszalski, J.

J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
[CrossRef]

Newell, T.

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

O'Brien, D.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Olsson, A.

A. Olsson and C. L. Tang, IEEE J. Quantum Electron. 17, 1320 (1981).
[CrossRef]

Paranthoen, C.

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

Pieroux, D.

D. Pieroux and P. Mandel, Phys. Rev. E 68, 036204 (2003).
[CrossRef]

Platz, C.

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

Provost, J. G.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

Shernyakov, Y. M.

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

Stintz, A.

A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
[CrossRef]

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

Tang, C. L.

A. Olsson and C. L. Tang, IEEE J. Quantum Electron. 17, 1320 (1981).
[CrossRef]

Tanguy, Y.

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

Thedrez, B.

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

Ukhanov, A. A.

A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
[CrossRef]

Ustinov, V.

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

Ustinov, V. M.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Viktorov, E. A.

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

Zhukov, A.

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

Zhukov, A. E.

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

Appl. Phys. Lett. (4)

A. A. Ukhanov, A. Stintz, P. G. Eliseev, and K. J. Malloy, Appl. Phys. Lett. 84, 1058 (2004).
[CrossRef]

M. Kuntz, N. Ledenstov, D. Bimberg, A. Kovsch, V. Ustinov, A. Zhukov, and Y. M. Shernyakov, Appl. Phys. Lett. 81, 3846 (2002).
[CrossRef]

A. Markus, J. X. Chen, C. Paranthoen, A. Fiore, C. Platz, and O. Gauthier-Lafaye, Appl. Phys. Lett. 82, 1818 (2003).
[CrossRef]

E. A. Viktorov, P. Mandel, Y. Tanguy, J. Houlihan, and G. Huyet, Appl. Phys. Lett. 87, 053113 (2005).
[CrossRef]

Electron. Lett. (3)

B. Dagens, A. Markus, J. X. Chen, J. G. Provost, D. Make, O. L. Gouezigou, J. Landreau, A. Fiore, and B. Thedrez, Electron. Lett. 41 (2005).
[CrossRef]

D. O'Brien, S. P. Hegarty, G. Huyet, J. G. McInerney, T. Kettler, M. Laemmlin, D. Bimberg, V. M. Ustinov, A. E. Zhukov, and S. S. Mikhrin, Electron. Lett. 39, 1819 (2003).
[CrossRef]

J. Muszalski, J. Houlihan, G. Huyet, and B. Corbett, Electron. Lett. 40, 428 (2004).
[CrossRef]

IEEE J. Quantum Electron. (2)

A. Olsson and C. L. Tang, IEEE J. Quantum Electron. 17, 1320 (1981).
[CrossRef]

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

T. Newell, D. Bossert, A. Stintz, B. Fuchs, K. Malloy, and L. Lester, IEEE Photon. Technol. Lett. 11, 1527 (1999).
[CrossRef]

J. Phys. D (2)

S. Fathpour, Z. Mi, and P. Bhattacharya, J. Phys. D 38, 2103 (2005).
[CrossRef]

Special issue of J. Phys. D 38, 1-24 (2005).

Phys. Rev. E (1)

D. Pieroux and P. Mandel, Phys. Rev. E 68, 036204 (2003).
[CrossRef]

Other (1)

D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, 1999).

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Figures (3)

Fig. 1
Fig. 1

Example of time traces showing antiphase oscillations between the GS (thick curve) and the ES (thin curve) at 110 mA . The DC offset is removed for clarity.

Fig. 2
Fig. 2

Mode competition between the ES and the GS for a 1 mm QD laser operating at relatively high temperature, 46 ° C . The bottom, middle, and top curves correspond to GS, ES, and total output.

Fig. 3
Fig. 3

Antiphase low-frequency fluctuations for filtered intensities I g , I e . The feedback strength ϵ = 0.08 . Other parameters: g 0 = 0.75 , J = 10 , τ f = 50 . Without feedback: first threshold for GS lasing at J = 3.1 , second threshold for ES lasing at J = 4.5 . The lower trace has been downshifted by five units to improve legibility.

Equations (3)

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

E ̇ g , e = 1 2 [ g g , e ( n e g , e + n h g , e 1 ) 1 ] E g , e + i δ ω g , e 2 E g , e + ϵ E g , e ( t τ ) ,
n ̇ e , h g = η [ 2 B e , h n e , h e ( 1 n e , h g ) 2 C e , h n e , h g ( 1 n e , h e ) γ e , h g n e , h g ( n e g + n h g 1 ) E g 2 ] ,
n ̇ e , h e = η [ J e , h ( 1 n e , h e ) B e , h n e , h e ( 1 n e , h g ) + C e , h n e , h g ( 1 n e , h e ) γ e , h e n e , h e ( n e e + n h e 1 ) E e 2 ] .

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