Abstract

The dynamics of a semiconductor laser subject to polarization-rotated (incoherent) optical feedback in the long cavity limit has been numerically and experimentally investigated. The results show that the induced dynamics can be grouped into four regimes (stable, chaotic, pulsed, and two state) and that the transverse-magnetic mode of the laser never lases in the ring cavity configuration studied. In addition, unlike the earlier short-cavity work, the boundaries between the regimes in the long-cavity case were found to be independent of the external-cavity delay time.

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  1. B. Tromborg, J. H. Osmundsen and H. Olesen, "Stability analysis for a semiconductor laser in an external cavity", IEEE J. Quantum Electron., vol. QE-20, no. 9, pp. 1023-1032, Sep. 1984.
  2. N. Schunk and K. Petermann, "Numerical analysis of the feedback regimes for a single-mode semiconductor laser with external feedback", IEEE J. Quantum Electron., vol. QE-24, no. 7, pp. 1242-1247, Jul. 1988.
  3. D. Lenstra, B. H. Verbeek and A. J. Den Beof, "Coherence collapse in single-mode semiconductor lasers due to optical feedback", IEEE J. Quantum Electron., vol. QE-21, no. 6, pp. 674-679, Jun. 1985.
  4. R. W. Tkach and A. R. Chraplyvy, "Regimes of feedback effects in 1.5 µ m distributed feedback lasers", J. Lightw. Technol., vol. LT-4, no. 11, pp. 1655-1661, Nov. 1986.
  5. G. H. M. van Tartwijk and G. P. Agrawal, "Laser instabilities: A modern perspective", Prog. Quantum Electron., vol. 22, no. 2, pp. 43-122, 1998.
  6. R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties", IEEE J. Quantum Electron., vol. QE-16, no. 3, pp. 347-355, Mar. 1980.
  7. H. Yasaka and H. Kawaguchi, "Linewidth reduction and optical frequency stabilization of a distributed feedback laser by incoherent optical negative feedback", Appl. Phys. Lett., vol. 53, no. 15, pp. 1360-1362, 1988.
  8. J. S. Cohen, F. Wittgrefe, M. D. Hoogerland and J. P. Woerdman, "Optical spectra of a semiconductor laser with incoherent optical feedback", IEEE J. Quantum Electron., vol. 26, no. 6, pp. 982-990, Jun. 1990.
  9. K. Otsuka and J. Chern, "High-speed picosecond pulse generation in semiconductor lasers with incoherent optical feedback", Opt. Lett., vol. 16, no. 22, pp. 1759-1761, 1991.
  10. J.-L. Chern, K. Otsuka and F. Ishiyama, "Coexistence of two attractors in lasers with delayed incoherent optical feedback", Opt. Commun., vol. 96, no. 4-6, pp. 259-266, 1993.
  11. F. Ishiyama, "Bistability of quasi periodicity and period doubling in a delayed-induced system", J. Opt. Soc. Amer. B, vol. 16, no. 12, pp. 2202-2206, 1999.
  12. D. Pieroux, T. Erneux and K. Otsuka, "Minimal model of a class-B laser with delayed feedback: Cascading branching of periodic solutions and period-doubling bifurcation", Phys. Rev., A, vol. 50, no. 2, pp. 1822-1829, 1994.
  13. W. H. Loh, Y. Ozeki and C. L. Tang, "High-frequency polarization self-modulation and chaotic phenomena in external cavity semiconductor lasers", Appl. Phys. Lett., vol. 56, no. 26, pp. 2613-2615, 1990.
  14. J. Houlihan, G. Huyet and J. G. McInerney, "Dynamics of a semiconductor laser with incoherent optical feedback", Opt. Commun., vol. 199, no. 1-4, pp. 175-179, 2001.
  15. T.-C. Yen, J.-W. Chang, J.-M. Lin and R.-J. Chen, "High-frequency optical signal generation in a semiconductor laser by incoherent optical feedback", Opt. Commun., vol. 150, no. 1-6, pp. 158-162, 1998.
  16. J. M. Saucedo Solorio, D. W. Sukow, D. R. Hicks and A. Gavrielides, "Bifurcation in a semiconductor laser subject to delayed incoherent feedback", Opt. Commun., vol. 214, no. 1-6, pp. 327-334, 2002.
  17. D. Pieroux, T. Erneux, T. Luzyanina and K. Engelborghs, "Interacting pairs of periodic solutions lead to tori in laser subject to delayed feedback", Phys. Rev., E, vol. 63, no. 3, p. 036211, 2001.
  18. T. Heil, A. Uchida, P. Davis and T. Aida, "TE-TM dynamics in a semiconductor laser subject to polarization-rotated optical feedback", Phys. Rev., A, vol. 68, no. 3, p. 033811, 2003.
  19. D.-L. Cheng, T.-C. Yen, J.-W. Chang and J.-K. Tsai, "Generation of high-speed single-wavelength optical pulses in semiconductor lasers with orthogonal-polarization optical feedback", Opt. Commun., vol. 222, no. 1-6, pp. 363-369, 2003.
  20. C. H. Lee and S. Y. Shin, "Self-pulsing, spectral bistability and chaos in a semiconductor laser diode with optoelectronic feedback", Appl. Phys. Lett., vol. 62, no. 9, pp. 922-924, Mar. 1993.
  21. A. V. Naumenko, N. A. Loiko, S. I. Turovets, P. S. Spencer and K. A. Shore, "Controlling dynamics in an external cavity laser diodes with electronic impulsive delayed feedback", J. Opt. Soc. Amer. B, vol. 15, no. 2, pp. 551-561, 1998.
  22. A. V. Naumenko, N. A. Loiko, S. I. Turovets, P. S. Spencer and K. A. Shore, "Chaos control of external cavity laser diodes dynamics using electronic impulsive delayed feedback", Int. J. Bifurc. Chaos, vol. 8, no. 9, pp. 1791-1800, 1998.
  23. G. Giacomelli, M. Calzavara and F. T. Arecchi, "Instabilities in a semiconductor laser with delayed optoelectronic feedback", Opt. Commun., vol. 74, no. 1-2, pp. 97-101, Dec. 1989.
  24. N. A. Loiko and A. M. Samson, "Possible regimes of generation of a semiconductor laser with a delayed optoelectronic feedback", Opt. Commun., vol. 93, no. 1-2, pp. 66-72, Sep. 1992.
  25. S. Tang and J. M. Liu, "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback", IEEE J. Quantum Electron., vol. 37, no. 3, pp. 329-336, Mar. 2001.
  26. J. D. Farmer, "Chaotic attractors of an infinite-dimensional dynamical system", Physica, D, vol. 4, no. 3, pp. 366-393, 1982.
  27. J. P. Eckman and D. Ruelle, "Ergodic-theory of chaos and strange attractors", Rev. Mod. Phys., vol. 57, no. 3, pp. 617-656, 1985.
  28. D. W. Sukow, K. I. Blackburn, A. R. Spain, K. J. Babcock, J. V. Bennett and A. Gavrielides, "Experimental synchronisation of chaos in diode lasers with polarisation-rotated feedback and injection", Opt. Lett., vol. 29, no. 20, pp. 2393-2395, 2004.

Other (28)

B. Tromborg, J. H. Osmundsen and H. Olesen, "Stability analysis for a semiconductor laser in an external cavity", IEEE J. Quantum Electron., vol. QE-20, no. 9, pp. 1023-1032, Sep. 1984.

N. Schunk and K. Petermann, "Numerical analysis of the feedback regimes for a single-mode semiconductor laser with external feedback", IEEE J. Quantum Electron., vol. QE-24, no. 7, pp. 1242-1247, Jul. 1988.

D. Lenstra, B. H. Verbeek and A. J. Den Beof, "Coherence collapse in single-mode semiconductor lasers due to optical feedback", IEEE J. Quantum Electron., vol. QE-21, no. 6, pp. 674-679, Jun. 1985.

R. W. Tkach and A. R. Chraplyvy, "Regimes of feedback effects in 1.5 µ m distributed feedback lasers", J. Lightw. Technol., vol. LT-4, no. 11, pp. 1655-1661, Nov. 1986.

G. H. M. van Tartwijk and G. P. Agrawal, "Laser instabilities: A modern perspective", Prog. Quantum Electron., vol. 22, no. 2, pp. 43-122, 1998.

R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties", IEEE J. Quantum Electron., vol. QE-16, no. 3, pp. 347-355, Mar. 1980.

H. Yasaka and H. Kawaguchi, "Linewidth reduction and optical frequency stabilization of a distributed feedback laser by incoherent optical negative feedback", Appl. Phys. Lett., vol. 53, no. 15, pp. 1360-1362, 1988.

J. S. Cohen, F. Wittgrefe, M. D. Hoogerland and J. P. Woerdman, "Optical spectra of a semiconductor laser with incoherent optical feedback", IEEE J. Quantum Electron., vol. 26, no. 6, pp. 982-990, Jun. 1990.

K. Otsuka and J. Chern, "High-speed picosecond pulse generation in semiconductor lasers with incoherent optical feedback", Opt. Lett., vol. 16, no. 22, pp. 1759-1761, 1991.

J.-L. Chern, K. Otsuka and F. Ishiyama, "Coexistence of two attractors in lasers with delayed incoherent optical feedback", Opt. Commun., vol. 96, no. 4-6, pp. 259-266, 1993.

F. Ishiyama, "Bistability of quasi periodicity and period doubling in a delayed-induced system", J. Opt. Soc. Amer. B, vol. 16, no. 12, pp. 2202-2206, 1999.

D. Pieroux, T. Erneux and K. Otsuka, "Minimal model of a class-B laser with delayed feedback: Cascading branching of periodic solutions and period-doubling bifurcation", Phys. Rev., A, vol. 50, no. 2, pp. 1822-1829, 1994.

W. H. Loh, Y. Ozeki and C. L. Tang, "High-frequency polarization self-modulation and chaotic phenomena in external cavity semiconductor lasers", Appl. Phys. Lett., vol. 56, no. 26, pp. 2613-2615, 1990.

J. Houlihan, G. Huyet and J. G. McInerney, "Dynamics of a semiconductor laser with incoherent optical feedback", Opt. Commun., vol. 199, no. 1-4, pp. 175-179, 2001.

T.-C. Yen, J.-W. Chang, J.-M. Lin and R.-J. Chen, "High-frequency optical signal generation in a semiconductor laser by incoherent optical feedback", Opt. Commun., vol. 150, no. 1-6, pp. 158-162, 1998.

J. M. Saucedo Solorio, D. W. Sukow, D. R. Hicks and A. Gavrielides, "Bifurcation in a semiconductor laser subject to delayed incoherent feedback", Opt. Commun., vol. 214, no. 1-6, pp. 327-334, 2002.

D. Pieroux, T. Erneux, T. Luzyanina and K. Engelborghs, "Interacting pairs of periodic solutions lead to tori in laser subject to delayed feedback", Phys. Rev., E, vol. 63, no. 3, p. 036211, 2001.

T. Heil, A. Uchida, P. Davis and T. Aida, "TE-TM dynamics in a semiconductor laser subject to polarization-rotated optical feedback", Phys. Rev., A, vol. 68, no. 3, p. 033811, 2003.

D.-L. Cheng, T.-C. Yen, J.-W. Chang and J.-K. Tsai, "Generation of high-speed single-wavelength optical pulses in semiconductor lasers with orthogonal-polarization optical feedback", Opt. Commun., vol. 222, no. 1-6, pp. 363-369, 2003.

C. H. Lee and S. Y. Shin, "Self-pulsing, spectral bistability and chaos in a semiconductor laser diode with optoelectronic feedback", Appl. Phys. Lett., vol. 62, no. 9, pp. 922-924, Mar. 1993.

A. V. Naumenko, N. A. Loiko, S. I. Turovets, P. S. Spencer and K. A. Shore, "Controlling dynamics in an external cavity laser diodes with electronic impulsive delayed feedback", J. Opt. Soc. Amer. B, vol. 15, no. 2, pp. 551-561, 1998.

A. V. Naumenko, N. A. Loiko, S. I. Turovets, P. S. Spencer and K. A. Shore, "Chaos control of external cavity laser diodes dynamics using electronic impulsive delayed feedback", Int. J. Bifurc. Chaos, vol. 8, no. 9, pp. 1791-1800, 1998.

G. Giacomelli, M. Calzavara and F. T. Arecchi, "Instabilities in a semiconductor laser with delayed optoelectronic feedback", Opt. Commun., vol. 74, no. 1-2, pp. 97-101, Dec. 1989.

N. A. Loiko and A. M. Samson, "Possible regimes of generation of a semiconductor laser with a delayed optoelectronic feedback", Opt. Commun., vol. 93, no. 1-2, pp. 66-72, Sep. 1992.

S. Tang and J. M. Liu, "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback", IEEE J. Quantum Electron., vol. 37, no. 3, pp. 329-336, Mar. 2001.

J. D. Farmer, "Chaotic attractors of an infinite-dimensional dynamical system", Physica, D, vol. 4, no. 3, pp. 366-393, 1982.

J. P. Eckman and D. Ruelle, "Ergodic-theory of chaos and strange attractors", Rev. Mod. Phys., vol. 57, no. 3, pp. 617-656, 1985.

D. W. Sukow, K. I. Blackburn, A. R. Spain, K. J. Babcock, J. V. Bennett and A. Gavrielides, "Experimental synchronisation of chaos in diode lasers with polarisation-rotated feedback and injection", Opt. Lett., vol. 29, no. 20, pp. 2393-2395, 2004.

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