Abstract

Influences of variable-angle polarization-rotated optical feedback on polarization properties of vertical-cavity surface-emitting lasers (VCSELs) are investigated numerically. For the so-called case A (x polarization) feedback, only the x mode is selected to pass through the feedback loop. As the polarization angle is varied from 0° to 90°, the dominant polarization mode switching can be observed even for fixed feedback strength and bias current. For the so-called case B (xy polarization) feedback, the total outputs of the VCSEL pass through the feedback loop. The polarization property is much different from case A. The dominant polarization mode switching occurs not in the entire range of polarization angles, however, but in the so-called critical angle, from where the intensities of both polarization modes become comparable to each other and keep around constant values, and can be observed. In addition, the complementary properties of intensities between the two polarization modes for both cases are evaluated quantitatively in terms of the defined normalized intensity.

© 2009 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  3. X. Li, W. Pan, D. Ma, and B. Luo, “Chaos synchronization of unidirectionally injected vertical-cavity surface-emitting lasers with global and mode-selective coupling,” Opt. Express 14, 3138-3151 (2006).
    [CrossRef] [PubMed]
  4. J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141-1154 (2002).
    [CrossRef]
  5. W. L. Zhang, W. Pan, B. Luo, X. H. Zuo, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33, 237-239 (2008).
    [CrossRef] [PubMed]
  6. J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184-1196 (2002).
    [CrossRef]
  7. N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
    [CrossRef]
  8. P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
    [CrossRef]
  9. T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
    [CrossRef]
  10. K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
    [CrossRef]
  11. K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
    [CrossRef]
  12. H. Kawaguchi, “Bistable laser diodes and their applications: state of the art,” IEEE J. Sel. Top. Quantum Electron. 3, 1254-1270 (1997).
    [CrossRef]
  13. H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
    [CrossRef]
  14. Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external cavity optical feedback,” IEEE Photonics Technol. Lett. 3, 597-599 (1991).
    [CrossRef]
  15. Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
    [CrossRef]
  16. M. S. Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
    [CrossRef]
  17. J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
    [CrossRef]
  18. J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
    [CrossRef]
  19. M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, “Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28, 1543-1545 (2003).
    [CrossRef] [PubMed]
  20. Y. Hong, P. S. Spencer, and K. A. Shore, “Suppression of polarization switching in vertical-cavity surface-emitting lasers by use of optical feedback,” Opt. Lett. 29, 2151-2153(2004).
    [CrossRef] [PubMed]
  21. C. Masoller and M. S. Torre, “Influence of optical feedback on the polarization switching of vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 41, 483-489(2005).
    [CrossRef]
  22. Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
    [CrossRef]
  23. K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
    [CrossRef]
  24. M. Sciamanna and K. Panajotov, “Route to polarization switching induced by optical injection in vertical-cavity surface-emitting lasers,” Phys. Rev. A 73, 023811(2006).
    [CrossRef]
  25. I. Gatare, K. Panajotov, and M. Sciamanna, “Frequency-induced polarization bistability in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. A 75, 023804 (2007).
    [CrossRef]
  26. R. Vicente, J. Mulet, C. R. Mirasso, and M. Sciamanna, “Bistable polarization switching in mutually coupled vertical-cavity surface-emitting lasers,” Opt. Lett. 31, 996-998 (2006).
    [CrossRef] [PubMed]
  27. W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, “Polarization switching of mutually coupled vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 24, 1276-1282 (2007).
    [CrossRef]
  28. W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, “Theoretical study on polarization dynamics of VCSELs with negative optoelectronic feedback,” Appl. Opt. 46, 7262-7266 (2007).
    [CrossRef] [PubMed]
  29. A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
    [CrossRef]
  30. H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
    [CrossRef]
  31. L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
    [CrossRef]
  32. L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
    [CrossRef]
  33. N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
    [CrossRef]

2009 (2)

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
[CrossRef]

2008 (4)

H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
[CrossRef]

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, X. H. Zuo, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33, 237-239 (2008).
[CrossRef] [PubMed]

2007 (5)

A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, “Polarization switching of mutually coupled vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 24, 1276-1282 (2007).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, “Theoretical study on polarization dynamics of VCSELs with negative optoelectronic feedback,” Appl. Opt. 46, 7262-7266 (2007).
[CrossRef] [PubMed]

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

I. Gatare, K. Panajotov, and M. Sciamanna, “Frequency-induced polarization bistability in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. A 75, 023804 (2007).
[CrossRef]

2006 (5)

N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
[CrossRef]

R. Vicente, J. Mulet, C. R. Mirasso, and M. Sciamanna, “Bistable polarization switching in mutually coupled vertical-cavity surface-emitting lasers,” Opt. Lett. 31, 996-998 (2006).
[CrossRef] [PubMed]

X. Li, W. Pan, D. Ma, and B. Luo, “Chaos synchronization of unidirectionally injected vertical-cavity surface-emitting lasers with global and mode-selective coupling,” Opt. Express 14, 3138-3151 (2006).
[CrossRef] [PubMed]

M. Sciamanna and K. Panajotov, “Route to polarization switching induced by optical injection in vertical-cavity surface-emitting lasers,” Phys. Rev. A 73, 023811(2006).
[CrossRef]

H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
[CrossRef]

2005 (3)

P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
[CrossRef]

C. Masoller and M. S. Torre, “Influence of optical feedback on the polarization switching of vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 41, 483-489(2005).
[CrossRef]

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
[CrossRef]

2004 (2)

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

Y. Hong, P. S. Spencer, and K. A. Shore, “Suppression of polarization switching in vertical-cavity surface-emitting lasers by use of optical feedback,” Opt. Lett. 29, 2151-2153(2004).
[CrossRef] [PubMed]

2003 (2)

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, “Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28, 1543-1545 (2003).
[CrossRef] [PubMed]

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

2002 (3)

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141-1154 (2002).
[CrossRef]

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184-1196 (2002).
[CrossRef]

1999 (1)

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

1997 (1)

H. Kawaguchi, “Bistable laser diodes and their applications: state of the art,” IEEE J. Sel. Top. Quantum Electron. 3, 1254-1270 (1997).
[CrossRef]

1995 (1)

M. S. Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
[CrossRef]

1994 (1)

K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
[CrossRef]

1993 (1)

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

1991 (1)

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external cavity optical feedback,” IEEE Photonics Technol. Lett. 3, 597-599 (1991).
[CrossRef]

1990 (1)

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821-824 (1990).
[CrossRef] [PubMed]

Albert, J.

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

Amann, M.-C.

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

Arai, M.

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

Asom, M. T.

K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
[CrossRef]

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Berghmans, F.

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Blondel, M.

Carroll, T. L.

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821-824 (1990).
[CrossRef] [PubMed]

Chang-Hasnain, C. J.

P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
[CrossRef]

Chen, H. F.

J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184-1196 (2002).
[CrossRef]

Choquette, K. D.

K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
[CrossRef]

Chow, W. W.

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

Chrostowski, L.

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
[CrossRef]

Chung, Y. C.

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external cavity optical feedback,” IEEE Photonics Technol. Lett. 3, 597-599 (1991).
[CrossRef]

Dagenais, M.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Danckaert, J.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Davis, P.

N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
[CrossRef]

Erneux, T.

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

Faraji, B.

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

Feng, Q.

M. S. Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
[CrossRef]

Focht, M. W.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Galfsky, T.

L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
[CrossRef]

Gatare, I.

A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
[CrossRef]

I. Gatare, K. Panajotov, and M. Sciamanna, “Frequency-induced polarization bistability in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. A 75, 023804 (2007).
[CrossRef]

Gross, N.

L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
[CrossRef]

Guth, G. D.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Hofmann, W.

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

Hong, Y.

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
[CrossRef]

Y. Hong, P. S. Spencer, and K. A. Shore, “Suppression of polarization switching in vertical-cavity surface-emitting lasers by use of optical feedback,” Opt. Lett. 29, 2151-2153(2004).
[CrossRef] [PubMed]

Jeong, K. H.

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Jiang, N.

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

Jiang, S.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Ju, R.

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
[CrossRef]

Kawaguchi, H.

H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
[CrossRef]

H. Kawaguchi, “Bistable laser diodes and their applications: state of the art,” IEEE J. Sel. Top. Quantum Electron. 3, 1254-1270 (1997).
[CrossRef]

Khaykovich, L.

L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
[CrossRef]

Kim, K. H.

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Kojima, K.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Kondo, T.

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

Koyama, F.

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

Lapin, Z. J.

H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
[CrossRef]

Lear, K. L.

K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
[CrossRef]

Lee, M. H.

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Lee, S. H.

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Lee, Y. H.

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external cavity optical feedback,” IEEE Photonics Technol. Lett. 3, 597-599 (1991).
[CrossRef]

Leibenguth, R. E.

K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
[CrossRef]

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Li, X.

Li, X. F.

Lin, H.

H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
[CrossRef]

Liu, J. M.

J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184-1196 (2002).
[CrossRef]

Luo, B.

Ma, D.

Malla, B.

H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
[CrossRef]

Mandel, P.

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

Masoller, C.

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

C. Masoller and M. S. Torre, “Influence of optical feedback on the polarization switching of vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 41, 483-489(2005).
[CrossRef]

Matsutani, A.

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

Mégret, P.

Miguel, M. S.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

M. S. Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
[CrossRef]

Mirasso, C. R.

R. Vicente, J. Mulet, C. R. Mirasso, and M. Sciamanna, “Bistable polarization switching in mutually coupled vertical-cavity surface-emitting lasers,” Opt. Lett. 31, 996-998 (2006).
[CrossRef] [PubMed]

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

Miyamoto, T.

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

Moloney, J. V.

M. S. Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
[CrossRef]

Morgan, R. A.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Mori, T.

H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
[CrossRef]

Mulet, J.

R. Vicente, J. Mulet, C. R. Mirasso, and M. Sciamanna, “Bistable polarization switching in mutually coupled vertical-cavity surface-emitting lasers,” Opt. Lett. 31, 996-998 (2006).
[CrossRef] [PubMed]

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

Nagler, B.

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

Ohtsubo, J.

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141-1154 (2002).
[CrossRef]

Pan, W.

Pan, Z. G.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Panajotov, K.

A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
[CrossRef]

I. Gatare, K. Panajotov, and M. Sciamanna, “Frequency-induced polarization bistability in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. A 75, 023804 (2007).
[CrossRef]

M. Sciamanna and K. Panajotov, “Route to polarization switching induced by optical injection in vertical-cavity surface-emitting lasers,” Phys. Rev. A 73, 023811(2006).
[CrossRef]

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, “Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28, 1543-1545 (2003).
[CrossRef] [PubMed]

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Paul, J.

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

Pecora, L. M.

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821-824 (1990).
[CrossRef] [PubMed]

Peeters, M.

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Sato, Y.

H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
[CrossRef]

Sciamanna, M.

I. Gatare, K. Panajotov, and M. Sciamanna, “Frequency-induced polarization bistability in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. A 75, 023804 (2007).
[CrossRef]

A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
[CrossRef]

R. Vicente, J. Mulet, C. R. Mirasso, and M. Sciamanna, “Bistable polarization switching in mutually coupled vertical-cavity surface-emitting lasers,” Opt. Lett. 31, 996-998 (2006).
[CrossRef] [PubMed]

M. Sciamanna and K. Panajotov, “Route to polarization switching induced by optical injection in vertical-cavity surface-emitting lasers,” Phys. Rev. A 73, 023811(2006).
[CrossRef]

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, “Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28, 1543-1545 (2003).
[CrossRef] [PubMed]

Scirè, A.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

Shibasaki, N.

N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
[CrossRef]

Shore, K. A.

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
[CrossRef]

Y. Hong, P. S. Spencer, and K. A. Shore, “Suppression of polarization switching in vertical-cavity surface-emitting lasers by use of optical feedback,” Opt. Lett. 29, 2151-2153(2004).
[CrossRef] [PubMed]

Shotan, Z.

L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
[CrossRef]

Spencer, P. S.

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
[CrossRef]

Y. Hong, P. S. Spencer, and K. A. Shore, “Suppression of polarization switching in vertical-cavity surface-emitting lasers by use of optical feedback,” Opt. Lett. 29, 2151-2153(2004).
[CrossRef] [PubMed]

Subrahmanyam, P. B.

P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
[CrossRef]

Tang, S.

J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184-1196 (2002).
[CrossRef]

Thienpont, H.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, “Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28, 1543-1545 (2003).
[CrossRef] [PubMed]

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Torre, M. S.

C. Masoller and M. S. Torre, “Influence of optical feedback on the polarization switching of vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 41, 483-489(2005).
[CrossRef]

Uchida, A.

N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
[CrossRef]

Valle, A.

H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
[CrossRef]

A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
[CrossRef]

Veretennicoff, I.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Mégret, and M. Blondel, “Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28, 1543-1545 (2003).
[CrossRef] [PubMed]

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Verschaffelt, G.

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

Vicente, R.

Wang, M. Y.

Wieczorek, S.

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

Xiang, S. Y.

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

Yamayoshi, Y.

H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
[CrossRef]

Yan, L. S.

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

Yang, L.

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

Yoo, B.-Soo

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Yoshimori, S.

N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
[CrossRef]

Zhang, W. L.

Zheng, D.

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

Zhou, Y.

P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
[CrossRef]

Zhou, Z.

Zuo, X. H.

Appl. Opt. (1)

Appl. Phys. Lett. (2)

K. D. Choquette, K. L. Lear, R. E. Leibenguth, and M. T. Asom, “Polarization modulation of cruciform vertical-cavity laser diodes,” Appl. Phys. Lett. 64, 2767-2769 (1994).
[CrossRef]

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, “Optical injection induced polarization bistability in vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 63, 2999-3001 (1993).
[CrossRef]

Electron. Lett. (2)

P. B. Subrahmanyam, Y. Zhou, L. Chrostowski, and C. J. Chang-Hasnain, “VCSEL tolerance to optical feedback,” Electron. Lett. 41, 1178-1179 (2005).
[CrossRef]

T. Kondo, M. Arai, A. Matsutani, T. Miyamoto, and F. Koyama, “Isolator-free 10 Gbit/s singlemode fibre data transmission using 1.1 μm GaInAs/GaAs vertical cavity surface emitting laser,” Electron. Lett. 40, 65-66 (2004).
[CrossRef]

IEEE J. Quantum Electron. (6)

J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184-1196 (2002).
[CrossRef]

C. Masoller and M. S. Torre, “Influence of optical feedback on the polarization switching of vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 41, 483-489(2005).
[CrossRef]

Y. Hong, R. Ju, P. S. Spencer, and K. A. Shore, “Investigation of polarization bistability in vertical-cavity surface-emitting lasers subjected to optical feedback,” IEEE J. Quantum Electron. 41, 619-624 (2005).
[CrossRef]

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141-1154 (2002).
[CrossRef]

A. Valle, I. Gatare, K. Panajotov, and M. Sciamanna, “Transverse mode switching and locking in vertical-cavity surface-emitting lasers subject to orthogonal optical injection,” IEEE J. Quantum Electron. 43, 322-333 (2007).
[CrossRef]

N. Shibasaki, A. Uchida, S. Yoshimori, and P. Davis, “Characteristics of chaos synchronization in semiconductor lasers subject to polarization-rotated optical feedback,” IEEE J. Quantum Electron. 42, 342-349 (2006).
[CrossRef]

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

L. Chrostowski, B. Faraji, W. Hofmann, M.-C. Amann, S. Wieczorek, and W. W. Chow, “40 GHz bandwidth and 64 GHz resonance frequency in injection-locked 1.55 μm VCSELs,” IEEE J. Sel. Top. Quantum Electron. 13, 1200-1208 (2007).
[CrossRef]

H. Kawaguchi, “Bistable laser diodes and their applications: state of the art,” IEEE J. Sel. Top. Quantum Electron. 3, 1254-1270 (1997).
[CrossRef]

IEEE Photonics Technol. Lett. (3)

K. Panajotov, F. Berghmans, M. Peeters, G. Verschaffelt, J. Danckaert, I. Veretennicoff, and H. Thienpont, “Data transparent reconfigurable optical interconnections using polarization switching in VCSELs induced by optical injection,” IEEE Photonics Technol. Lett. 11, 985-987 (1999).
[CrossRef]

K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-Soo Yoo, and K. A. Shore, “Optical injection-induced polarization switching dynamics in 1.5 μm wavelength single-mode vertical-cavity surface-emitting lasers,” IEEE Photonics Technol. Lett. 20, 779-781 (2008).
[CrossRef]

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external cavity optical feedback,” IEEE Photonics Technol. Lett. 3, 597-599 (1991).
[CrossRef]

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

Jpn. J. Appl. Phys. (1)

H. Kawaguchi, T. Mori, Y. Sato, and Y. Yamayoshi, “Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers,” Jpn. J. Appl. Phys. 45, L894-L897(2006).
[CrossRef]

Opt. Commun. (3)

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217-2222 (2009).
[CrossRef]

J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, and T. Erneux, “Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers,” Opt. Commun. 201, 129-137 (2002).
[CrossRef]

L. Khaykovich, T. Galfsky, Z. Shotan, and N. Gross, “TE-TM coupled mode dynamics in a semiconductor laser subject to feedback with variably rotated polarization,” Opt. Commun. 282, 2059-2061 (2009).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Phy. Rev. A (1)

H. Lin, Z. J. Lapin, B. Malla, and A. Valle, “Polarization dynamics in a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback,” Phy. Rev. A 77, 033813 (2008).
[CrossRef]

Phys. Rev. A (4)

M. S. Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
[CrossRef]

J. Paul, C. Masoller, P. Mandel, Y. Hong, P. S. Spencer, and K. A. Shore, “Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers,” Phys. Rev. A 77, 043803 (2008).
[CrossRef]

M. Sciamanna and K. Panajotov, “Route to polarization switching induced by optical injection in vertical-cavity surface-emitting lasers,” Phys. Rev. A 73, 023811(2006).
[CrossRef]

I. Gatare, K. Panajotov, and M. Sciamanna, “Frequency-induced polarization bistability in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. A 75, 023804 (2007).
[CrossRef]

Phys. Rev. Lett. (2)

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821-824 (1990).
[CrossRef] [PubMed]

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. S. Miguel, “Polarization message encoding through vectorial chaos synchronization in vertical-cavity surface-emitting lasers,” Phys. Rev. Lett. 90, 113901 (2003).
[CrossRef] [PubMed]

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Figures (13)

Fig. 1
Fig. 1

Schematic diagram for the VCSEL subject to VPROF: VCSEL, vertical cavity surface emitting laser; ML, microscopic lens; BS, beam splitter; PC, polarization controller; M, mirror; NDF, neutral density filter; ISO, optical isolator; XMP, x polarizer.

Fig. 2
Fig. 2

Decomposition of the polarization-rotated feedback on the two orthogonal modes E x and E y .

Fig. 3
Fig. 3

Polarization-resolved L–I curve of the VCSEL subjected to parallel optical feedback. The solid curve and the dashed curve correspond to XP mode and YP mode, respectively, with k d = 2 × 10 9 s 1 .

Fig. 4
Fig. 4

Polarization-resolved intensities versus optical feedback coefficient for case A (x-polarization feedback) for polarization angle fixed at (a)  θ p = 0 ° , (b)  θ p = 45 ° , (c)  θ p = 72 ° , and (d)  θ p = 90 ° . The dotted (dashed) line with crosses (circles) corresponds to the intensity of XP (YP) mode, and the solid line corresponds to the total intensity.

Fig. 5
Fig. 5

As in Fig. 4 but for case B feedback.

Fig. 6
Fig. 6

Polarization-resolved intensities versus polarization angel for case A (x-polarization feedback) for feedback coefficient fixed at (a)  k d = 2 × 10 11 , (b)  k d = 4 × 10 11 , (c)  k d = 8 × 10 11 , and (d)  k d = 10 × 10 11 . The other descriptions are the same as in Fig. 4.

Fig. 7
Fig. 7

Feedback strength versus the polarization angle for case A (x-polarization feedback: (a)  k d = 2 × 10 11 , (b)  k d = 8 × 10 11 .

Fig. 8
Fig. 8

Outputs in the time domain for case A (x-polarization feedback), with k d = 8 × 10 11 s 1 . For (a1)–(a3), θ p = 0 ° , 63 ° , and 90 ° , respectively, and the same for (b1)–(b3).

Fig. 9
Fig. 9

As in Fig. 6 but for case B feedback.

Fig. 10
Fig. 10

Feedback strength versus the polarization angle for case B ( x y -polarization feedback): (a)  k d = 2 × 10 11 , (b)  k d = 10 × 10 11 .

Fig. 11
Fig. 11

Outputs in the time domain for case B ( x y -polarization feedback), with k d = 8 × 10 11 s 1 . For (a1)–(a3), θ p = 0 ° , 27 ° , and 90 ° , respectively, and the same for (b1)–(b3).

Fig. 12
Fig. 12

Two-dimensional map of normalized intensity in the parameter space of k d and θ p for case A (x-polarization feedback): (a) XP mode, (b) YP mode.

Fig. 13
Fig. 13

As in Fig. 12 but for case B feedback.

Tables (1)

Tables Icon

Table 1 Parameter Values for VCSELs [22]

Equations (11)

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d E x ( t ) d t = 1 2 [ G x ( t ) γ x ] E x ( t ) + k d E x ( t τ d ) cos ( θ p ) cos [ Φ x ( t ) Φ x ( t τ d ) + ω d τ d ] ,
d Φ x ( t ) d t = α 2 [ G x ( t ) γ x ] k d E x ( t τ d ) E x ( t ) cos ( θ p ) sin [ Φ x ( t ) Φ x ( t τ d ) + ω d τ d ] ,
d E y ( t ) d t = 1 2 [ G y ( t ) γ y ] E y ( t ) + k d E x ( t τ d ) sin ( θ p ) cos [ Φ y ( t ) Φ x ( t τ d ) Δ ω t + ω d τ d ] ,
d Φ y ( t ) d t = α 2 [ G y ( t ) γ y ] k d E x ( t τ d ) E y ( t ) sin ( θ p ) sin [ Φ y ( t ) Φ x ( t τ d ) Δ ω t + ω d τ d ] ,
d N ( t ) d t = J γ s N ( t ) G x ( t ) | E x ( t ) | 2 G y ( t ) | E y ( t ) | 2 ,
G x , y ( t ) = g x , y [ N ( t ) N 0 ] [ 1 ε s | E x , y ( t ) | 2 ε c | E y , x ( t ) | 2 ] .
d E x ( t ) d t = 1 2 [ G x ( t ) γ x ] E x ( t ) + k d E x ( t τ d ) cos ( θ p ) cos [ Φ x ( t ) Φ x ( t τ d ) + ω d τ d ] k d E y ( t τ d ) sin ( θ p ) cos [ Φ x ( t ) Φ y ( t τ d ) + ω d τ d + Δ ω t ] ,
d Φ x ( t ) d t = α 2 [ G x ( t ) γ x ] k d E x ( t τ d ) E x ( t ) cos ( θ p ) sin [ Φ x ( t ) Φ x ( t τ d ) + ω d τ d ] + k d E y ( t τ d ) E x ( t ) sin ( θ p ) sin [ Φ x ( t ) Φ y ( t τ d ) + ω d τ d + Δ ω t ] ,
d E y ( t ) d t = 1 2 [ G y ( t ) γ y ] E y ( t ) + k d E x ( t τ d ) sin ( θ p ) cos [ Φ y ( t ) Φ x ( t τ d ) Δ ω t + ω d τ d ] + k d E y ( t τ d ) cos ( θ p ) cos [ Φ y ( t ) Φ y ( t τ d ) + ω d τ d ] ,
d Φ y ( t ) d t = α 2 [ G y ( t ) γ y ] k d E x ( t τ d ) E y ( t ) sin ( θ p ) sin [ Φ y ( t ) Φ x ( t τ d ) Δ ω t + ω d τ d ] k d E y ( t τ d ) E y ( t ) cos ( θ p ) sin [ Φ y ( t ) Φ y ( t τ d ) + ω d τ d ] .
N I x , y = | E x , y | 2 | E x , y | 2 + | E y , x | 2 .

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