Abstract

The polarization degree of vertical-cavity surface-emitting lasers (VCSELs) subjected to optical feedback with rotating polarization is investigated numerically. To compare the polarization properties of two VCSELs with different frequency splitting (i.e., VCSEL1/VCSEL2 with closely/widely spaced frequency splitting), we extend the spin-flip model by taking the controllable polarization into consideration. The degrees of polarization are quantified in terms of the defined fractional polarization (FP), and the evolutions of the polarization state are further described to explain the polarization switching process through the representation on the Poincaré sphere. As the polarizer angle is varied from 0° to 90°, the polarization switching and the competition between the linearly polarized and the elliptically polarized states are observed in both VCSELs. However, the switching processes are different: in VCSEL1 the polarization varies slowly from x-polarization (XP) mode to y-polarization (YP) mode along the linearly polarized state oriented between the two modes, while the switching is much sharper and the so-called critical angle corresponding to the minimum FP is found in VCSEL2. The effects of the initial conditions, spin-flip rate, and feedback strength are also taken into account.

© 2010 Optical Society of America

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  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]
  2. H. Kawaguchi, “Bistable laser diodes and their applications: state of the art,” IEEE J. Sel. Top. Quantum Electron. 3, 1254-1270 (1997).
    [CrossRef]
  3. 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]
  4. A. Scire, 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]
  5. 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]
  6. M. San Miguel, Q. Feng, and J. V. Moloney, “Light polarization dynamics in surface-emitting semiconductor lasers,” Phys. Rev. A 52, 1728-1739 (1995).
    [CrossRef] [PubMed]
  7. J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
    [CrossRef]
  8. M. P. van Exter, R. F. M. Hendriks, and J. P. Woerdman, “Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers,” Phys. Rev. A 57, 2080-2090 (1998).
    [CrossRef]
  9. C. Masoller and N. B. Abraham, “Polarization dynamics in vertical-cavity surface-emitting lasers with optical feedback through a quarter-wave plate,” Appl. Phys. Lett. 74, 1078-1080 (1999).
    [CrossRef]
  10. M. B. Willemsen, M. P. van Exter, and J. P. Woerdman, “Anatomy of a polarization switch of a vertical-cavity semiconductor laser,” Phys. Rev. Lett. 84, 4337-4340 (2000).
    [CrossRef] [PubMed]
  11. N. A. Loiko, A. V. Naumenko, and N. B. Abraham, “Complex polarization dynamics in a VCSEL with external polarization-selective feedback,” J. Opt. B: Quantum Semiclassical Opt. 3, S100-S111 (2001).
    [CrossRef]
  12. F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (2004).
    [CrossRef]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, “Polarization-resolved dynamics of asymmetrically coupled vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 25, 153-158 (2008).
    [CrossRef]
  22. W. L. Zhang, W. Pan, B. Luo, X. H. Zuo, and M. Y. Wang, “Polarization switching and hysteresis of VCSELs with time-varying optical injection,” IEEE J. Sel. Top. Quantum Electron. 14, 889-894 (2008).
    [CrossRef]
  23. S. Xiang, W. Pan, L. Yan, B. Luo, N. Jiang, and L. Yang, “Polarization properties of vertical-cavity surface-emitting lasers subject to feedback with variably rotated polarization angle,” Appl. Opt. 48, 5176-5183 (2009).
    [CrossRef] [PubMed]
  24. 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]
  25. 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,” Phys. Rev. A 77, 033813 (2008).
    [CrossRef]
  26. S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
    [CrossRef]
  27. 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]
  28. A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
    [CrossRef]
  29. C. Masoller and N. B. Abraham, “Low-frequency fluctuations in vertical-cavity surface-emitting semiconductor lasers with optical feedback,” Phys. Rev. A 59, 3021-3031 (1999).
    [CrossRef]

2009 (2)

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]

S. Xiang, W. Pan, L. Yan, B. Luo, N. Jiang, and L. Yang, “Polarization properties of vertical-cavity surface-emitting lasers subject to feedback with variably rotated polarization angle,” Appl. Opt. 48, 5176-5183 (2009).
[CrossRef] [PubMed]

2008 (3)

W. L. Zhang, W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, “Polarization-resolved dynamics of asymmetrically coupled vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 25, 153-158 (2008).
[CrossRef]

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,” Phys. Rev. A 77, 033813 (2008).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, X. H. Zuo, and M. Y. Wang, “Polarization switching and hysteresis of VCSELs with time-varying optical injection,” IEEE J. Sel. Top. Quantum Electron. 14, 889-894 (2008).
[CrossRef]

2007 (3)

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]

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]

2006 (3)

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. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
[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]

2005 (2)

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)

F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (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. Scire, 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]

2001 (1)

N. A. Loiko, A. V. Naumenko, and N. B. Abraham, “Complex polarization dynamics in a VCSEL with external polarization-selective feedback,” J. Opt. B: Quantum Semiclassical Opt. 3, S100-S111 (2001).
[CrossRef]

2000 (1)

M. B. Willemsen, M. P. van Exter, and J. P. Woerdman, “Anatomy of a polarization switch of a vertical-cavity semiconductor laser,” Phys. Rev. Lett. 84, 4337-4340 (2000).
[CrossRef] [PubMed]

1999 (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]

C. Masoller and N. B. Abraham, “Polarization dynamics in vertical-cavity surface-emitting lasers with optical feedback through a quarter-wave plate,” Appl. Phys. Lett. 74, 1078-1080 (1999).
[CrossRef]

C. Masoller and N. B. Abraham, “Low-frequency fluctuations in vertical-cavity surface-emitting semiconductor lasers with optical feedback,” Phys. Rev. A 59, 3021-3031 (1999).
[CrossRef]

1998 (1)

M. P. van Exter, R. F. M. Hendriks, and J. P. Woerdman, “Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers,” Phys. Rev. A 57, 2080-2090 (1998).
[CrossRef]

1997 (2)

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
[CrossRef]

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

1996 (1)

S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
[CrossRef]

1995 (1)

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

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]

Abraham, N. B.

N. A. Loiko, A. V. Naumenko, and N. B. Abraham, “Complex polarization dynamics in a VCSEL with external polarization-selective feedback,” J. Opt. B: Quantum Semiclassical Opt. 3, S100-S111 (2001).
[CrossRef]

C. Masoller and N. B. Abraham, “Polarization dynamics in vertical-cavity surface-emitting lasers with optical feedback through a quarter-wave plate,” Appl. Phys. Lett. 74, 1078-1080 (1999).
[CrossRef]

C. Masoller and N. B. Abraham, “Low-frequency fluctuations in vertical-cavity surface-emitting semiconductor lasers with optical feedback,” Phys. Rev. A 59, 3021-3031 (1999).
[CrossRef]

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
[CrossRef]

Agrawal, G. P.

S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
[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]

Bache, M.

F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (2004).
[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.

Caccia, P.

F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (2004).
[CrossRef]

Castelli, F.

F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (2004).
[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]

Chwalek, J. M.

S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
[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. Scire, 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]

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]

Elsäßer, W.

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
[CrossRef]

Feng, Q.

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

Fischer, I.

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
[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.

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]

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]

Hendriks, R. F. M.

M. P. van Exter, R. F. M. Hendriks, and J. P. Woerdman, “Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers,” Phys. Rev. A 57, 2080-2090 (1998).
[CrossRef]

Hong, Y.

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]

Jiang, N.

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, “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]

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]

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,” Phys. 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]

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. 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,” Phys. Rev. A 77, 033813 (2008).
[CrossRef]

Loiko, N. A.

N. A. Loiko, A. V. Naumenko, and N. B. Abraham, “Complex polarization dynamics in a VCSEL with external polarization-selective feedback,” J. Opt. B: Quantum Semiclassical Opt. 3, S100-S111 (2001).
[CrossRef]

Luo, B.

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,” Phys. Rev. A 77, 033813 (2008).
[CrossRef]

Martin-Regalado, J.

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
[CrossRef]

Masoller, C.

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]

C. Masoller and N. B. Abraham, “Polarization dynamics in vertical-cavity surface-emitting lasers with optical feedback through a quarter-wave plate,” Appl. Phys. Lett. 74, 1078-1080 (1999).
[CrossRef]

C. Masoller and N. B. Abraham, “Low-frequency fluctuations in vertical-cavity surface-emitting semiconductor lasers with optical feedback,” Phys. Rev. A 59, 3021-3031 (1999).
[CrossRef]

Mégret, P.

Miguel, M. S.

A. Scire, 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]

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. Scire, 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]

Moloney, J. V.

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

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]

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. Scire, 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]

Naumenko, A. V.

N. A. Loiko, A. V. Naumenko, and N. B. Abraham, “Complex polarization dynamics in a VCSEL with external polarization-selective feedback,” J. Opt. B: Quantum Semiclassical Opt. 3, S100-S111 (2001).
[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]

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (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]

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]

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]

Peil, M.

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
[CrossRef]

Prati, F.

F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (2004).
[CrossRef]

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
[CrossRef]

Ramanujan, S.

S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
[CrossRef]

San Miguel, M.

J. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
[CrossRef]

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

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]

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]

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (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]

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]

Scire, A.

A. Scire, 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]

Shore, K. A.

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.

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]

Tabaka, A.

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
[CrossRef]

Thienpont, H.

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (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]

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]

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,” Phys. 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]

van Exter, M. P.

M. B. Willemsen, M. P. van Exter, and J. P. Woerdman, “Anatomy of a polarization switch of a vertical-cavity semiconductor laser,” Phys. Rev. Lett. 84, 4337-4340 (2000).
[CrossRef] [PubMed]

M. P. van Exter, R. F. M. Hendriks, and J. P. Woerdman, “Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers,” Phys. Rev. A 57, 2080-2090 (1998).
[CrossRef]

Veretennicoff, I.

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (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]

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.

Willemsen, M. B.

M. B. Willemsen, M. P. van Exter, and J. P. Woerdman, “Anatomy of a polarization switch of a vertical-cavity semiconductor laser,” Phys. Rev. Lett. 84, 4337-4340 (2000).
[CrossRef] [PubMed]

Winful, H.

S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
[CrossRef]

Woerdman, J. P.

M. B. Willemsen, M. P. van Exter, and J. P. Woerdman, “Anatomy of a polarization switch of a vertical-cavity semiconductor laser,” Phys. Rev. Lett. 84, 4337-4340 (2000).
[CrossRef] [PubMed]

M. P. van Exter, R. F. M. Hendriks, and J. P. Woerdman, “Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers,” Phys. Rev. A 57, 2080-2090 (1998).
[CrossRef]

Xiang, S.

Yan, L.

Yang, L.

Zhang, W. L.

Zuo, X. H.

Appl. Opt. (1)

Appl. Phys. Lett. (3)

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]

C. Masoller and N. B. Abraham, “Polarization dynamics in vertical-cavity surface-emitting lasers with optical feedback through a quarter-wave plate,” Appl. Phys. Lett. 74, 1078-1080 (1999).
[CrossRef]

IEEE J. Quantum Electron. (5)

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. Martin-Regalado, F. Prati, M. San Miguel, and N. B. Abraham, “Polarization properties if vertical-cavity surface-emitting lasers,” IEEE J. Quantum Electron. 33, 765-783 (1997).
[CrossRef]

S. Ramanujan, G. P. Agrawal, J. M. Chwalek, and H. Winful, “Elliptical polarization emission from GaAlAs laser diodes in an external cavity configuration,” IEEE J. Quantum Electron. 32, 213-221 (1996).
[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]

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

W. L. Zhang, W. Pan, B. Luo, X. H. Zuo, and M. Y. Wang, “Polarization switching and hysteresis of VCSELs with time-varying optical injection,” IEEE J. Sel. Top. Quantum Electron. 14, 889-894 (2008).
[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. (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]

J. Opt. B: Quantum Semiclassical Opt. (1)

N. A. Loiko, A. V. Naumenko, and N. B. Abraham, “Complex polarization dynamics in a VCSEL with external polarization-selective feedback,” J. Opt. B: Quantum Semiclassical Opt. 3, S100-S111 (2001).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

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. Lett. (3)

Phys. Rev. A (8)

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,” Phys. Rev. A 77, 033813 (2008).
[CrossRef]

A. Tabaka, M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer, H. Thienpont, I. Veretennicoff, and K. Panajotov, “Dynamics of vertical-cavity surface-emitting lasers in the short external cavity regime: pulse packages and polarization mode competition,” Phys. Rev. A 73, 013810 (2006).
[CrossRef]

C. Masoller and N. B. Abraham, “Low-frequency fluctuations in vertical-cavity surface-emitting semiconductor lasers with optical feedback,” Phys. Rev. A 59, 3021-3031 (1999).
[CrossRef]

F. Prati, P. Caccia, M. Bache, and F. Castelli, “Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers,” Phys. Rev. A 69, 033810 (2004).
[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]

M. P. van Exter, R. F. M. Hendriks, and J. P. Woerdman, “Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers,” Phys. Rev. A 57, 2080-2090 (1998).
[CrossRef]

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

Phys. Rev. Lett. (2)

A. Scire, 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. B. Willemsen, M. P. van Exter, and J. P. Woerdman, “Anatomy of a polarization switch of a vertical-cavity semiconductor laser,” Phys. Rev. Lett. 84, 4337-4340 (2000).
[CrossRef] [PubMed]

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Figures (10)

Fig. 1
Fig. 1

Schematic illustration of VCSELs with rotating polarizer in the external cavity. VCSEL, vertical cavity surface emitting laser; ML,: microscopic lens; BS, beam splitter; RP, rotating polarizer; M, mirror; NDF, neutral density filter; ISO, optical isolator.

Fig. 2
Fig. 2

Polarization-resolved intensities (a1, b1) and FP (a2, b2) as a function of the polarizer angles, with γ p = 6 ns 1 , γ = 30 ns 1 for the left column and γ p = 40 ns 1 , γ = 30 ns 1 for the right column.

Fig. 3
Fig. 3

Same as Fig. 2, with γ s .

Fig. 4
Fig. 4

FP as a function of the polarizer angles for different initial conditions. (a) The initial condition is chosen in the XP mode; (b) the initial condition is chosen in both the XP and YP modes; (c) the initial condition is chosen in the YP mode.

Fig. 5
Fig. 5

FP as a function of the polarizer angles for different γ, with γ p = 6 ns 1 .

Fig. 6
Fig. 6

FP as a function of the polarizer angles for different γ, with γ p = 40 ns 1 .

Fig. 7
Fig. 7

Output in the time domain for both XP (left column) and YP (right column) modes, (a1–a2) θ p = 0 ° , (b1–b2) θ p = 40 ° , (c1–c2) θ p = 90 ° , with γ p = 6 ns 1 , γ = 30 ns 1 .

Fig. 8
Fig. 8

Output in the time domain for both XP (left column) and YP (right column) modes, (a1–a2) θ p = 0 ° , (b1–b2) θ p = 50 ° , (c1–c2) θ p = 90 ° , with γ p = 40 ns 1 , γ = 30 ns 1 .

Fig. 9
Fig. 9

Time-dependent cross-correlation coefficient, (a) γ p = 6 ns 1 , θ p = 40 ° (b) θ p = 50 ° , γ p = 40 ns 1 .

Fig. 10
Fig. 10

Evolutions of polarization state plotted on the normalized Poincaré sphere for VCSEL1 with γ p = 6 ns 1 (left column) and VCSEL2 with γ p = 40 ns 1 (right column), with γ = 30 ns 1 .

Equations (9)

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

E ̇ x = k ( 1 + i α ) [ ( N 1 ) E x + i n E y ] ( γ a + i γ p ) E x + γ E x ( t τ ) cos 2 ( θ p ) e i ω τ + γ E y ( t τ ) cos ( θ p ) sin ( θ p ) e i ω τ ,
E ̇ y = k ( 1 + i α ) [ ( N 1 ) E y i n E x ] + ( γ a + i γ p ) E y + γ E x ( t τ ) sin ( θ p ) cos ( θ p ) e i ω τ + γ E y ( t τ ) sin 2 ( θ p ) e i ω τ ,
N ̇ = γ N [ μ N ( 1 + | E x | 2 + | E y | 2 ) + i n ( E x E y * E y E x * ) ] ,
n ̇ = γ s n γ N [ n ( | E x | 2 + | E y | 2 ) + i N ( E y E x * E x E y * ) ] ,
FP = S 1 ( t ) 2 + S 2 ( t ) 2 + S 3 ( t ) 2 S 0 ( t ) 2 ,
E ̇ x = k ( 1 + i α ) ( N 1 ) E x ( γ a + i γ p ) E x + γ E x ( t τ ) cos 2 ( θ p ) e i ω τ + γ E y ( t τ ) cos ( θ p ) sin ( θ p ) e i ω τ ,
E ̇ y = k ( 1 + i α ) ( N 1 ) E y + ( γ a + i γ p ) E y + γ E x ( t τ ) sin ( θ p ) cos ( θ p ) e i ω τ + γ E y ( t τ ) sin 2 ( θ p ) e i ω τ ,
N ̇ = γ N [ μ N ( 1 + | E x | 2 + | E y | 2 ) ] .
C ( Δ t ) = [ I y ( t + Δ t ) I y ( t + Δ t ) ] [ I x ( t ) I x ( t ) ] [ I y ( t + Δ t ) I y ( t + Δ t ) ] 2 [ I x ( t ) I x ( t ) ] 2 ,

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