Abstract

Suppression of time-delay (TD) signature in a vertical-cavity surface-emitting laser subject to double-cavity polarization-rotated optical feedback has been verified experimentally. The TD signature, represented by the autocorrelation coefficient at the delay time in the external cavity, is measured in the two orthogonal polarizations of the laser. The results show that TD signatures with double-cavity feedback can be 22% to 35% weaker than those with single cavity feedback for the same experimental parameters. For appropriate feedback polarization, TD signatures become invisible. This is in good agreement with the theoretical prediction. Our results also show that higher feedback strength results in greater suppression in TD signatures in a wide range of polarization angle.

© 2014 IEEE

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  7. C. Masoller, "Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback," Phys. Rev. Lett. 86, 2782-2785 (2001 ).
  8. T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, W. Elsasser, "ON/OFF phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers," IEEE J. Quantum Electron. 38, 1162-1170 (2002).
  9. Y. Hong, M. W. Lee, P. S. Spencer, K. A. Shore, "Synchronization of chaos in unidirectionally coupled vertical-cavity surface-emitting semiconductor lasers," Opt. Lett. 29, 1215-1217 (2004).
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  13. M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, M. Sciamanna, "Leader-laggard relationship of chaos synchronization in mutually coupled vertical-cavity surface-emitting lasers with time delay," Phys. Rev. E 79, 026210 (2009).
  14. H. Lin, M. M. Valles, Y. Zhang, "Synchronization of chaotic outputs in multi-transverse-mode vertical-cavity surface-emitting lasers," Opt. Commun. 309, 242-246 (2013).
  15. F. Y. Lin, J. M. Liu, " Chaotic radar using nonlinear laser dynamics," IEEE J. Quantum Electron. 40, 815-820 (2004).
  16. F. Y. Lin, J. M. Liu, " Chaotic lidar," IEEE J. Sel. Topics Quantum Electron. 10, 991-997 (2004).
  17. A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, P. Davis, "Fast physical random bit generation with chaotic semiconductor lasers ," Nature Photon. 2, 728-732 (2008).
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  19. T. Sano, "Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A 50 , 2719-2726 (1994).
  20. P. S. Spencer, C. R. Mirasso, K. A. Shore, "Effect of strong optical feedback on vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 10, 191-193 (1998).
  21. M. Sondermann, H. Bohnet, T. Ackemann, "Low-frequency fluctuations and polarization dynamics in vertical-cavity surface-emitting lasers with isotropic feedback," Phys. Rev. A 67, 021802(R) (2003).
  22. R. Hegger, M. J. Bünner, H. Kantz, A. Giaquinta, "Identifying and modeling delay feedback systems," Phys. Rev. Lett. 81, 558 -561 (1998).
  23. M. D. Prokhorov, V. I. Ponomarenko, A. S. Karavaev, B. P. Bezruchko, "Reconstruction of time-delayed feedback systems from time series," Physica D 203, 209-223 (2005).
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  25. D. Rontani, A. Locquet, M. Sciamanna, D. S. Citrin, S. Ortin, " Time-delay identification in a chaotic semiconductor laser with optical feedback: A dynamical point of view ," IEEE J. Quantum Electron. 45, 879-891 (2009).
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  27. J. G. Wu, G. Q. Xia, Z. M. Wu, "Suppression of time delay signatures of chaotic output in a semiconductor laser with double optical feedback," Opt. Exp. 17, 20124-20133 (2009).
  28. S. Xiang, W. Pan, B. Luo, L. Yan, X. Zou, N. Jiang, L. Yang, H. Zhu, "Conceal time-delay signature of chaotic vertical-cavity surface-emitting lasers by variable-polarization optical feedback," Opt. Commun. 284, 5758 -5765 (2011).
  29. P. Xiao, Z.-M. Wu, J.-G. Wu, L. Jiang, T. Deng, X. Tang, L. Fan, G.-Q. Xia, "Time-delay signature concealment of chaotic output in a vertical-cavity surface-emitting laser with double variable-polarization optical feedback," Opt. Commun. 286, 339 -343 (2013).
  30. S. Priyadarshi, Y. Hong, I. Pierce, K. A. Shore, "Experimental investigations of time-delay signature concealment in chaotic external cavity VCSELs subject to variable optical polarization angle of feedback," IEEE J. Sel. Topics Quantum Electron. 19, 1700707 (2013).
  31. Y. Hong, "Experimental study of time-delay signature of chaos in mutually coupled vertical-cavity surface-emitting lasers subject to polarization rotated optical feedback," Opt. Exp. 21, 17894-17903 (2013).
  32. S. Y. Xiang, W. Pan, A. J. Wen, N. Q. Li, L. Y. Zhang, L. Shang, H. X. Zhang, "Conceal time delay signature of chaos in semiconductor lasers with dual-path injection," IEEE Photon. Technol. Lett. 25, 1398-1401 (2013 ).
  33. Z.-Q. Zhong, Z.-M. Wu, J.-G. Wu, G.-Q. Xia, "Time-delay signature suppression of polarization resolved chaos outputs from two mutually coupled VCSELs," IEEE Photon. J. 5, 1500409 (2013).
  34. H. Lin, Z. J. Lapin, B. Malla, A. Valle, "Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback," Phys. Rev. A 77, 033813 (2008).
  35. C. Bandt, B. Pompe, " Permutation entropy: A natural complexity measure for time series," Phys. Rev. Lett. 88, 174102 ( 2002).

2013 (6)

M. Virte, K. Panajotov, H. Thienpont, M. Sciamanna, "Deterministic polarization chaos from a laser diode," Nature Photon. 7, 60-65 (2013).

H. Lin, M. M. Valles, Y. Zhang, "Synchronization of chaotic outputs in multi-transverse-mode vertical-cavity surface-emitting lasers," Opt. Commun. 309, 242-246 (2013).

P. Xiao, Z.-M. Wu, J.-G. Wu, L. Jiang, T. Deng, X. Tang, L. Fan, G.-Q. Xia, "Time-delay signature concealment of chaotic output in a vertical-cavity surface-emitting laser with double variable-polarization optical feedback," Opt. Commun. 286, 339 -343 (2013).

S. Priyadarshi, Y. Hong, I. Pierce, K. A. Shore, "Experimental investigations of time-delay signature concealment in chaotic external cavity VCSELs subject to variable optical polarization angle of feedback," IEEE J. Sel. Topics Quantum Electron. 19, 1700707 (2013).

Y. Hong, "Experimental study of time-delay signature of chaos in mutually coupled vertical-cavity surface-emitting lasers subject to polarization rotated optical feedback," Opt. Exp. 21, 17894-17903 (2013).

Z.-Q. Zhong, Z.-M. Wu, J.-G. Wu, G.-Q. Xia, "Time-delay signature suppression of polarization resolved chaos outputs from two mutually coupled VCSELs," IEEE Photon. J. 5, 1500409 (2013).

2011 (1)

S. Xiang, W. Pan, B. Luo, L. Yan, X. Zou, N. Jiang, L. Yang, H. Zhu, "Conceal time-delay signature of chaotic vertical-cavity surface-emitting lasers by variable-polarization optical feedback," Opt. Commun. 284, 5758 -5765 (2011).

2009 (3)

D. Rontani, A. Locquet, M. Sciamanna, D. S. Citrin, S. Ortin, " Time-delay identification in a chaotic semiconductor laser with optical feedback: A dynamical point of view ," IEEE J. Quantum Electron. 45, 879-891 (2009).

J. G. Wu, G. Q. Xia, Z. M. Wu, "Suppression of time delay signatures of chaotic output in a semiconductor laser with double optical feedback," Opt. Exp. 17, 20124-20133 (2009).

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, M. Sciamanna, "Leader-laggard relationship of chaos synchronization in mutually coupled vertical-cavity surface-emitting lasers with time delay," Phys. Rev. E 79, 026210 (2009).

2008 (3)

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, P. Davis, "Fast physical random bit generation with chaotic semiconductor lasers ," Nature Photon. 2, 728-732 (2008).

Y. Hong, M. W. Lee, P. S. Spencer, K. A. Shore, "Enhanced chaos synchronization in unidirectionally coupled vertical-cavity surface-emitting semiconductor lasers with polarization-preserved injection," Opt. Lett. 33, 587-589 (2008).

H. Lin, Z. J. Lapin, B. Malla, A. Valle, "Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback," Phys. Rev. A 77, 033813 (2008).

2007 (1)

M. Sciamanna, I. Gatare, A. Locquet, K. Panajotov, "Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection," Phys. Rev. E 75, 056213 (2007).

2005 (3)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, K. A. Shore, "Chaos-based communications at high bit rates using commercial fibre-optic links," Nature 438, 343-346 (2005).

M. D. Prokhorov, V. I. Ponomarenko, A. S. Karavaev, B. P. Bezruchko, "Reconstruction of time-delayed feedback systems from time series," Physica D 203, 209-223 (2005).

V. S. Udaltsov, L. Larger, J. P. Goedgebuer, A. Locquet, D. S. Citrin, "Time delay identification in chaotic cryptosystems ruled by delay-differential equations ," J. Opt. Technol. 72, 373-377 (2005).

2004 (3)

Y. Hong, M. W. Lee, P. S. Spencer, K. A. Shore, "Synchronization of chaos in unidirectionally coupled vertical-cavity surface-emitting semiconductor lasers," Opt. Lett. 29, 1215-1217 (2004).

F. Y. Lin, J. M. Liu, " Chaotic radar using nonlinear laser dynamics," IEEE J. Quantum Electron. 40, 815-820 (2004).

F. Y. Lin, J. M. Liu, " Chaotic lidar," IEEE J. Sel. Topics Quantum Electron. 10, 991-997 (2004).

2003 (1)

M. Sondermann, H. Bohnet, T. Ackemann, "Low-frequency fluctuations and polarization dynamics in vertical-cavity surface-emitting lasers with isotropic feedback," Phys. Rev. A 67, 021802(R) (2003).

2002 (1)

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, W. Elsasser, "ON/OFF phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers," IEEE J. Quantum Electron. 38, 1162-1170 (2002).

1999 (2)

B. Ryvkin, K. Panajotov, A. Georgievski, J. Danckaert, M. Peeters, G. Verschaffelt, H. Thienpont, I. Veretennicoff, "Effect of photon energy-dependent loss and gain mechanisms on polarization switching in vertical-cavity surface-emitting lasers," J. Opt. Soc. Am. B 16 , 2106-2113 (1999).

S. Sivaprakasam, K. A. Shore, "Signal masking for chaotic optical communication using external-cavity diode lasers," Opt. Lett. 24, 1200-1202 (1999).

1998 (2)

R. Hegger, M. J. Bünner, H. Kantz, A. Giaquinta, "Identifying and modeling delay feedback systems," Phys. Rev. Lett. 81, 558 -561 (1998).

P. S. Spencer, C. R. Mirasso, K. A. Shore, "Effect of strong optical feedback on vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 10, 191-193 (1998).

1997 (1)

J. Martin-Regalado, F. Prati, M. San Miguel, N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 765-783 (1997).

1995 (1)

K. D. Choquette, R. P. Schneider, Jr. K. L. Lear, R. E. Leibenguth, "Gain-dependent polarization properties of vertical-cavity lasers," IEEE J. Sel. Top. Quantum Electron. 1, 661-666 (1995).

1994 (1)

T. Sano, "Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A 50 , 2719-2726 (1994).

1988 (1)

G. C. Dente, P. S. Durkin, K. A. Wilson, C. E. Moeller, "Chaos in the coherence collapse of semiconductor lasers ," IEEE J. Quantum Electron. 24, 2441-2447 (1988).

IEEE J. Quantum Electron. (5)

J. Martin-Regalado, F. Prati, M. San Miguel, N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 765-783 (1997).

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, W. Elsasser, "ON/OFF phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers," IEEE J. Quantum Electron. 38, 1162-1170 (2002).

F. Y. Lin, J. M. Liu, " Chaotic radar using nonlinear laser dynamics," IEEE J. Quantum Electron. 40, 815-820 (2004).

G. C. Dente, P. S. Durkin, K. A. Wilson, C. E. Moeller, "Chaos in the coherence collapse of semiconductor lasers ," IEEE J. Quantum Electron. 24, 2441-2447 (1988).

D. Rontani, A. Locquet, M. Sciamanna, D. S. Citrin, S. Ortin, " Time-delay identification in a chaotic semiconductor laser with optical feedback: A dynamical point of view ," IEEE J. Quantum Electron. 45, 879-891 (2009).

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

K. D. Choquette, R. P. Schneider, Jr. K. L. Lear, R. E. Leibenguth, "Gain-dependent polarization properties of vertical-cavity lasers," IEEE J. Sel. Top. Quantum Electron. 1, 661-666 (1995).

IEEE J. Sel. Topics Quantum Electron. (2)

F. Y. Lin, J. M. Liu, " Chaotic lidar," IEEE J. Sel. Topics Quantum Electron. 10, 991-997 (2004).

S. Priyadarshi, Y. Hong, I. Pierce, K. A. Shore, "Experimental investigations of time-delay signature concealment in chaotic external cavity VCSELs subject to variable optical polarization angle of feedback," IEEE J. Sel. Topics Quantum Electron. 19, 1700707 (2013).

IEEE Photon. J. (1)

Z.-Q. Zhong, Z.-M. Wu, J.-G. Wu, G.-Q. Xia, "Time-delay signature suppression of polarization resolved chaos outputs from two mutually coupled VCSELs," IEEE Photon. J. 5, 1500409 (2013).

IEEE Photon. Technol. Lett. (2)

S. Y. Xiang, W. Pan, A. J. Wen, N. Q. Li, L. Y. Zhang, L. Shang, H. X. Zhang, "Conceal time delay signature of chaos in semiconductor lasers with dual-path injection," IEEE Photon. Technol. Lett. 25, 1398-1401 (2013 ).

P. S. Spencer, C. R. Mirasso, K. A. Shore, "Effect of strong optical feedback on vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 10, 191-193 (1998).

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

B. Ryvkin, K. Panajotov, A. Georgievski, J. Danckaert, M. Peeters, G. Verschaffelt, H. Thienpont, I. Veretennicoff, "Effect of photon energy-dependent loss and gain mechanisms on polarization switching in vertical-cavity surface-emitting lasers," J. Opt. Soc. Am. B 16 , 2106-2113 (1999).

J. Opt. Technol. (1)

Nature (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, K. A. Shore, "Chaos-based communications at high bit rates using commercial fibre-optic links," Nature 438, 343-346 (2005).

Nature Photon. (2)

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, P. Davis, "Fast physical random bit generation with chaotic semiconductor lasers ," Nature Photon. 2, 728-732 (2008).

M. Virte, K. Panajotov, H. Thienpont, M. Sciamanna, "Deterministic polarization chaos from a laser diode," Nature Photon. 7, 60-65 (2013).

Opt. Commun. (1)

H. Lin, M. M. Valles, Y. Zhang, "Synchronization of chaotic outputs in multi-transverse-mode vertical-cavity surface-emitting lasers," Opt. Commun. 309, 242-246 (2013).

Opt. Commun. (2)

S. Xiang, W. Pan, B. Luo, L. Yan, X. Zou, N. Jiang, L. Yang, H. Zhu, "Conceal time-delay signature of chaotic vertical-cavity surface-emitting lasers by variable-polarization optical feedback," Opt. Commun. 284, 5758 -5765 (2011).

P. Xiao, Z.-M. Wu, J.-G. Wu, L. Jiang, T. Deng, X. Tang, L. Fan, G.-Q. Xia, "Time-delay signature concealment of chaotic output in a vertical-cavity surface-emitting laser with double variable-polarization optical feedback," Opt. Commun. 286, 339 -343 (2013).

Opt. Exp. (1)

J. G. Wu, G. Q. Xia, Z. M. Wu, "Suppression of time delay signatures of chaotic output in a semiconductor laser with double optical feedback," Opt. Exp. 17, 20124-20133 (2009).

Opt. Exp. (1)

Y. Hong, "Experimental study of time-delay signature of chaos in mutually coupled vertical-cavity surface-emitting lasers subject to polarization rotated optical feedback," Opt. Exp. 21, 17894-17903 (2013).

Opt. Lett. (4)

Phys. Rev. A (3)

T. Sano, "Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A 50 , 2719-2726 (1994).

M. Sondermann, H. Bohnet, T. Ackemann, "Low-frequency fluctuations and polarization dynamics in vertical-cavity surface-emitting lasers with isotropic feedback," Phys. Rev. A 67, 021802(R) (2003).

H. Lin, Z. J. Lapin, B. Malla, A. Valle, "Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback," Phys. Rev. A 77, 033813 (2008).

Phys. Rev. E (2)

M. Ozaki, H. Someya, T. Mihara, A. Uchida, S. Yoshimori, K. Panajotov, M. Sciamanna, "Leader-laggard relationship of chaos synchronization in mutually coupled vertical-cavity surface-emitting lasers with time delay," Phys. Rev. E 79, 026210 (2009).

M. Sciamanna, I. Gatare, A. Locquet, K. Panajotov, "Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection," Phys. Rev. E 75, 056213 (2007).

Phys. Rev. Lett. (1)

C. Bandt, B. Pompe, " Permutation entropy: A natural complexity measure for time series," Phys. Rev. Lett. 88, 174102 ( 2002).

Phys. Rev. Lett. (2)

R. Hegger, M. J. Bünner, H. Kantz, A. Giaquinta, "Identifying and modeling delay feedback systems," Phys. Rev. Lett. 81, 558 -561 (1998).

C. Masoller, "Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback," Phys. Rev. Lett. 86, 2782-2785 (2001 ).

Physica D (1)

M. D. Prokhorov, V. I. Ponomarenko, A. S. Karavaev, B. P. Bezruchko, "Reconstruction of time-delayed feedback systems from time series," Physica D 203, 209-223 (2005).

Other (1)

C. W. Wilmsen, H. Temkin, L. A. Coldren, Vertical-Cavity Surface-Emitting Lasers: Design, Fabrication, Characterization, and Applications (Cambridge University Press, 1999).

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