Abstract

Polarization switching (PS) of two mutually coupled vertical-cavity surface-emitting lasers (VCSELs) are studied numerically. A group of dimensionless rate equations is derived to describe our model. We focus on the influences of coupling rate and frequency detuning on PS dynamics. In the polarization-preserved mutual-injection case, x-polarization mode injection will defer the occurrence of PS, while y-polarization mode injection will lead PS to occur at a lower current. These influences will be weakened by frequency detuning. The effects of polarization-rotated injection are contrary to those of polarization-preserved injection. For polarization-rotated injection, two coupled VCSELs show really different PS characteristics if frequency detuning is nonzero. Besides in the L–I curves, we also find a region of values of the injection current where one laser emits in pure polarization mode, and the other laser emits in the orthogonal direction.

© 2007 Optical Society of America

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    [CrossRef]
  3. 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]
  4. B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
    [CrossRef]
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    [CrossRef]
  6. Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]
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    [CrossRef]
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  19. H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
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    [CrossRef]
  26. 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]
  27. R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).
    [CrossRef]
  28. J. M. Regalado, F. Prati, M. S. Miguel, and N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 713-736 (1997).
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    [CrossRef]
  30. W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
    [CrossRef]
  31. B. Ryvkin, K. Panajotov, A. Georgievski, J. Danckaert, M. Peters, G. Verschaffelt, H. Thienpont, and I. Veretennicoff, "Effect of photon-energy-dependent loss and gain mechanisms on polarization switching in vertical-cavity surface-emitting lasers," J. Opt. Soc. Am. B 16, 2106-2113 (1999).
    [CrossRef]
  32. W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
    [CrossRef]
  33. S. Bandyopadhyay, Y. Hong, P. S. Spencer, and K. A. Shore, "VCSEL polarization control by optical injection," J. Lightwave Technol. 21, 2395-2404 (2003).
    [CrossRef]
  34. 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, 342-350 (2006).
    [CrossRef]
  35. 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, 2763-2765 (2004).
    [CrossRef]

2007 (1)

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, "Chaos synchronization in polarization selective mutually coupled semiconductor lasers," Chin. J. Lasers 34, 55-60 (2007).

2006 (7)

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

S. Yanchuk, A. Stefanski, T. Kapitaniak, and J. Wojewoda, "Dynamics of an array of mutually coupled semiconductor lasers," Phys. Rev. E 73, 016209 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization," IEEE J. Quantum Electron. 42, 953-960 (2006).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[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, 342-350 (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. F. Li, W. Pan, B. Luo, and D. Ma, "Multi-transverse-mode dynamics of vertical-cavity surface-emitting lasers with external optical injection," J. Opt. Soc. Am. B 23, 1292-1301 (2006).
[CrossRef]

2005 (4)

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (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 (3)

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (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, 2763-2765 (2004).
[CrossRef]

2003 (5)

2002 (2)

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]

Y. Hong, P. S. Spencer, P. Rees, and K. A. Shore, "Optical injection dynamics of two-mode vertical cavity surface-emitting semiconductor lasers," IEEE J. Quantum Electron. 38, 274-278 (2002).
[CrossRef]

2001 (2)

C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

T. Heil, I. Fischer, and W. Elsässer, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).
[CrossRef] [PubMed]

2000 (1)

K. Iga, "Surface-emitting laser--its birth and generation of new optoelectronics field," IEEE J. Sel. Top. Quantum Electron. 6, 1201-1215 (2000).
[CrossRef]

1999 (1)

1997 (2)

J. M. Regalado, F. Prati, M. S. Miguel, and N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 713-736 (1997).

A. Valle, L. Pesquera, and K. A. Shore, "Polarization behavior of birefringent multitransverse mode vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 9, 557-559 (1997).
[CrossRef]

1995 (2)

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

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]

1993 (1)

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

1980 (1)

R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).
[CrossRef]

Abraham, N. B.

J. M. Regalado, F. Prati, M. S. Miguel, and N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 713-736 (1997).

Albert, J.

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[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]

Arteaga, M. A.

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

Asom, M. T.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

Bandyopadhyay, S.

S. Bandyopadhyay, Y. Hong, P. S. Spencer, and K. A. Shore, "VCSEL polarization control by optical injection," J. Lightwave Technol. 21, 2395-2404 (2003).
[CrossRef]

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Barbay, S.

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[CrossRef]

Barland, S.

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (2004).
[CrossRef]

Blondel, M.

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Choquette, K. D.

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

Dagenais, M.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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.

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (2004).
[CrossRef]

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[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]

B. Ryvkin, K. Panajotov, A. Georgievski, J. Danckaert, M. Peters, G. Verschaffelt, H. Thienpont, and I. Veretennicoff, "Effect of photon-energy-dependent loss and gain mechanisms on polarization switching in vertical-cavity surface-emitting lasers," J. Opt. Soc. Am. B 16, 2106-2113 (1999).
[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, 342-350 (2006).
[CrossRef]

Elsäßer, W.

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

Elsässer, W.

T. Heil, I. Fischer, and W. Elsässer, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).
[CrossRef] [PubMed]

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]

Erzgräber, H.

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[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]

Fischer, I.

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

T. Heil, I. Fischer, and W. Elsässer, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).
[CrossRef] [PubMed]

Focht, M. W.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

Fujiwara, N.

García-Ojalvo, J.

Georgievski, A.

Giacomelli, G.

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (2004).
[CrossRef]

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[CrossRef]

Guth, G. D.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

Heil, T.

T. Heil, I. Fischer, and W. Elsässer, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).
[CrossRef] [PubMed]

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, 2763-2765 (2004).
[CrossRef]

S. Bandyopadhyay, Y. Hong, P. S. Spencer, and K. A. Shore, "VCSEL polarization control by optical injection," J. Lightwave Technol. 21, 2395-2404 (2003).
[CrossRef]

Y. Hong, P. S. Spencer, P. Rees, and K. A. Shore, "Optical injection dynamics of two-mode vertical cavity surface-emitting semiconductor lasers," IEEE J. Quantum Electron. 38, 274-278 (2002).
[CrossRef]

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Iga, K.

K. Iga, "Surface-emitting laser--its birth and generation of new optoelectronics field," IEEE J. Sel. Top. Quantum Electron. 6, 1201-1215 (2000).
[CrossRef]

Jiang, S.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

Kapitaniak, T.

S. Yanchuk, A. Stefanski, T. Kapitaniak, and J. Wojewoda, "Dynamics of an array of mutually coupled semiconductor lasers," Phys. Rev. E 73, 016209 (2006).
[CrossRef]

Kejima, K.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

Kobayashi, K.

R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).
[CrossRef]

Kolesik, M.

C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

Krauskopf, B.

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

Lang, R.

R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).
[CrossRef]

Lear, K. L.

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

Leibenguth, R. E.

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

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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]

Lenstra, D.

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

Li, X. F.

X. F. Li, W. Pan, B. Luo, and D. Ma, "Multi-transverse-mode dynamics of vertical-cavity surface-emitting lasers with external optical injection," J. Opt. Soc. Am. B 23, 1292-1301 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization," IEEE J. Quantum Electron. 42, 953-960 (2006).
[CrossRef]

Luo, B.

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, "Chaos synchronization in polarization selective mutually coupled semiconductor lasers," Chin. J. Lasers 34, 55-60 (2007).

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization," IEEE J. Quantum Electron. 42, 953-960 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Multi-transverse-mode dynamics of vertical-cavity surface-emitting lasers with external optical injection," J. Opt. Soc. Am. B 23, 1292-1301 (2006).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

Ma, D.

X. F. Li, W. Pan, B. Luo, and D. Ma, "Multi-transverse-mode dynamics of vertical-cavity surface-emitting lasers with external optical injection," J. Opt. Soc. Am. B 23, 1292-1301 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization," IEEE J. Quantum Electron. 42, 953-960 (2006).
[CrossRef]

Marin, F.

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (2004).
[CrossRef]

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[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]

Matus, M.

C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

Megret, P.

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Mégret, P.

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

Michalzik, R.

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

Miguel, M. S.

J. M. Regalado, F. Prati, M. S. Miguel, and N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 713-736 (1997).

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]

C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

R. Vicente and C. R. Mirasso, "Dynamics of mutually coupled VCSELs," in Proceedings of SPIE, Physics and Simulations of Optoelectronic Devices XII, Proc. SPIE 5349, 331-338 (2004).

Moloney, J. V.

C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

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]

Monticelli, G.

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Morgan, R. A.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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.

Nagler, B.

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[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]

Ohtsubo, J.

Ostermann, J. M.

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

Pan, W.

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, "Chaos synchronization in polarization selective mutually coupled semiconductor lasers," Chin. J. Lasers 34, 55-60 (2007).

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Multi-transverse-mode dynamics of vertical-cavity surface-emitting lasers with external optical injection," J. Opt. Soc. Am. B 23, 1292-1301 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, "Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization," IEEE J. Quantum Electron. 42, 953-960 (2006).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

Pan, Z. G.

Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kejima, 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.

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

M. Scamanna, K. Panajotov, and H. Thienpont, "Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers," Opt. Lett. 28, 1543-1545 (2003).
[CrossRef]

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[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]

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

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Peeters, M.

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[CrossRef]

Peil, M.

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

Pesquera, L.

A. Valle, L. Pesquera, and K. A. Shore, "Polarization behavior of birefringent multitransverse mode vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 9, 557-559 (1997).
[CrossRef]

M. S. Torre, A. Valle, and L. Pesquera, "Polarization and transverse mode dynamics of vertical-cavity surface-emitting lasers under optical injection," in Quantum Electronics Conference (EQEC, 2005), p. 29.

Peters, M.

Prati, F.

J. M. Regalado, F. Prati, M. S. Miguel, and N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 713-736 (1997).

Rees, P.

Y. Hong, P. S. Spencer, P. Rees, and K. A. Shore, "Optical injection dynamics of two-mode vertical cavity surface-emitting semiconductor lasers," IEEE J. Quantum Electron. 38, 274-278 (2002).
[CrossRef]

Regalado, J. M.

J. M. Regalado, F. Prati, M. S. Miguel, and N. B. Abraham, "Polarization properties of vertical-cavity surface-emitting lasers," IEEE J. Quantum Electron. 33, 713-736 (1997).

Rogister, F.

Romanelli, M.

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (2004).
[CrossRef]

Ryvkin, B.

Scamanna, M.

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

M. Scamanna, K. Panajotov, and H. Thienpont, "Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers," Opt. Lett. 28, 1543-1545 (2003).
[CrossRef]

Schneider, R. P.

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

Sciamanna, M.

Sciamannal, M.

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

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, 342-350 (2006).
[CrossRef]

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, 2763-2765 (2004).
[CrossRef]

S. Bandyopadhyay, Y. Hong, P. S. Spencer, and K. A. Shore, "VCSEL polarization control by optical injection," J. Lightwave Technol. 21, 2395-2404 (2003).
[CrossRef]

Y. Hong, P. S. Spencer, P. Rees, and K. A. Shore, "Optical injection dynamics of two-mode vertical cavity surface-emitting semiconductor lasers," IEEE J. Quantum Electron. 38, 274-278 (2002).
[CrossRef]

A. Valle, L. Pesquera, and K. A. Shore, "Polarization behavior of birefringent multitransverse mode vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 9, 557-559 (1997).
[CrossRef]

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Soriano, M. C.

M. C. Soriano, M. Yousefi, J. Danckaert, S. Barland, M. Romanelli, G. Giacomelli, and F. Marin, "Low-frequency fluctuations in vertical-cavity surface-emitting lasers with polarization selective feedback: experiment and theory," IEEE J. Sel. Top. Quantum Electron. 10, 998-1004 (2004).
[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, 2763-2765 (2004).
[CrossRef]

S. Bandyopadhyay, Y. Hong, P. S. Spencer, and K. A. Shore, "VCSEL polarization control by optical injection," J. Lightwave Technol. 21, 2395-2404 (2003).
[CrossRef]

Y. Hong, P. S. Spencer, P. Rees, and K. A. Shore, "Optical injection dynamics of two-mode vertical cavity surface-emitting semiconductor lasers," IEEE J. Quantum Electron. 38, 274-278 (2002).
[CrossRef]

Stefanski, A.

S. Yanchuk, A. Stefanski, T. Kapitaniak, and J. Wojewoda, "Dynamics of an array of mutually coupled semiconductor lasers," Phys. Rev. E 73, 016209 (2006).
[CrossRef]

Tabaka, A.

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Takiguchi, Y.

Thienpont, H.

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[CrossRef]

M. Scamanna, K. Panajotov, and H. Thienpont, "Optical feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers," Opt. Lett. 28, 1543-1545 (2003).
[CrossRef]

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

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

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]

M. S. Torre, A. Valle, and L. Pesquera, "Polarization and transverse mode dynamics of vertical-cavity surface-emitting lasers under optical injection," in Quantum Electronics Conference (EQEC, 2005), p. 29.

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, 342-350 (2006).
[CrossRef]

Unold, H. J.

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

Valle, A.

A. Valle, L. Pesquera, and K. A. Shore, "Polarization behavior of birefringent multitransverse mode vertical-cavity surface-emitting lasers," IEEE Photon. Technol. Lett. 9, 557-559 (1997).
[CrossRef]

M. S. Torre, A. Valle, and L. Pesquera, "Polarization and transverse mode dynamics of vertical-cavity surface-emitting lasers under optical injection," in Quantum Electronics Conference (EQEC, 2005), p. 29.

Veretennicoff, I.

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[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]

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

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

Verschaffelt, G.

B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, and F. Marin, "Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experimental," Phys. Rev. A 68, 013813 (2003).
[CrossRef]

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

Vicente, 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]

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Wang, M. Y.

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, "Chaos synchronization in polarization selective mutually coupled semiconductor lasers," Chin. J. Lasers 34, 55-60 (2007).

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

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C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

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H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, "Chaos synchronization in polarization selective mutually coupled semiconductor lasers," Chin. J. Lasers 34, 55-60 (2007).

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

Zou, X. H.

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, "Chaos synchronization in polarization selective mutually coupled semiconductor lasers," Chin. J. Lasers 34, 55-60 (2007).

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[CrossRef]

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

M. A. Arteaga, H. J. Unold, J. M. Ostermann, R. Michalzik, and H. Thienpont, "Investigation of polarization properties of VCSELs subject to optical feedback from an extremely short external cavity--part I: theoretical analysis," IEEE J. Quantum Electron. 42, 89-101 (2006).
[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer, and W. Elsäßer, "Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios," Opt. Commun. 255, 286-296 (2005).
[CrossRef]

Opt. Eng. (Bellingham) (1)

W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Polarization Dynamics of vertical-cavity surface-emitting lasers with Optical Feedback," Opt. Eng. (Bellingham) 45, 114202 (2006).
[CrossRef]

Opt. Lett. (5)

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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]

C. R. Mirasso, M. Kolesik, M. Matus, J. K. White, and J. V. Moloney, "Synchronization and multimode dynamics of mutually coupled semiconductor lasers," Phys. Rev. A 65, 013805 (2001).
[CrossRef]

K. Panajotov, M. Scamanna, A. Tabaka, P. Mégret, M. Blondel, G. Giacomelli, F. Marin, H. Thienpont, and I. Veretennicoff, "Residence time distribution and coherence resonance of optical-feedback-induced polarization mode hopping in vertical-cavity surface-emitting lasers," Phys. Rev. A 69, 011801 (2004).
[CrossRef]

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[CrossRef]

Phys. Rev. E (1)

S. Yanchuk, A. Stefanski, T. Kapitaniak, and J. Wojewoda, "Dynamics of an array of mutually coupled semiconductor lasers," Phys. Rev. E 73, 016209 (2006).
[CrossRef]

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T. Heil, I. Fischer, and W. Elsässer, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).
[CrossRef] [PubMed]

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W. L. Zhang, W. Pan, B. Luo, M. Y. Wang, and X. H. Zou, "Synchronization performance comparison of VCSEL with two different feedback chaos schemes," Semicond. Sci. Technol. 20, 979-984 (2005).
[CrossRef]

Other (3)

R. Vicente and C. R. Mirasso, "Dynamics of mutually coupled VCSELs," in Proceedings of SPIE, Physics and Simulations of Optoelectronic Devices XII, Proc. SPIE 5349, 331-338 (2004).

M. S. Torre, A. Valle, and L. Pesquera, "Polarization and transverse mode dynamics of vertical-cavity surface-emitting lasers under optical injection," in Quantum Electronics Conference (EQEC, 2005), p. 29.

M. Sciamannal, K. Panajotov, G. Monticelli, A. Tabaka, H. Thienpont, I. Veretennicoff, P. Megret, M. Blondel, S. Bandyopadhyay, Y. Hong, and K. A. Shore, "Polarization dynamics in VCSELs subject to optical injection," in Quantum Electronics Conference (EQEC, 2003), p. 37.

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Figures (9)

Fig. 1
Fig. 1

Polarization-resolved L-I curves for the case of polarization-preserved mixed-mode mutual injection when frequency detuning is zero. For (a)–(d), η X = η Y = 0 , 0.018, 0.035, and 0.053, respectively.

Fig. 2
Fig. 2

L–I curves for the case of polarization-preserved mixed-mode mutual injection, under the condition of Δ f A , B = 5 GHz . The thick curves display results for laser 1, and the thin curves for laser 2. Each plot corresponds to the same plot in Fig. 1.

Fig. 3
Fig. 3

Output in the time domain in the case of polarization-preserved mixed-mode mutual injection, with J = 1.5 J th , Δ f A , B = 5 GHz , η X = η Y = 0.053 . (a) Laser 1; (b) laser 2.

Fig. 4
Fig. 4

L–I curves for the case of polarization-preserved x-mode injection. In the left column Δ f A , B = 0 ; in the right column Δ f A , B = 5 GHz . For (a)–(c), η Y = 0 , and η X = 0.017 , 0.035, and 0.087, respectively, the same for (d)–(f).

Fig. 5
Fig. 5

L–I curves for the case of polarization-preserved y-mode injection. In the left column Δ f A , B = 0 ; in the right column Δ f A , B = 5 GHz . For (a)–(c), η X = 0 , and η Y = 0.017 , 0.035, and 0.053, respectively, the same for (d)–(f).

Fig. 6
Fig. 6

L–I curves for the case of polarization-rotated mixed-mode mutual injection. In the left column Δ f C , D = 0 ; in the right column Δ f C = 8 GHz , Δ f D = 2 GHz . (a)–(c) η X = η Y = 0.017 , 0.035, and 0.053, respectively, the same for (d)–(f).

Fig. 7
Fig. 7

L–I curves for the case of polarization-rotated x-mode injection. In the left column Δ f C , D = 0 ; in the right column Δ f C = 8 GHz , Δ f D = 2 GHz . Each plot corresponds to the same plot in Fig. 4.

Fig. 8
Fig. 8

L–I curves for the case of polarization-rotated y-mode injection. In the left column Δ f C , D = 0 ; in the right column Δ f C = 8 GHz , Δ f D = 2 GHz . Each plot corresponds to the same plot in Fig. 5.

Fig. 9
Fig. 9

Output in the time domain in the case of polarization-rotated x-mode mutual injection, with J = 1.3 J th , Δ f C = 8 GHz , Δ f D = 2 GHz , η X = 0.053 , and η Y = 0 . (a) Laser 1; (b) laser 2.

Tables (1)

Tables Icon

Table 1 Typical Value of Parameters in the Simulation

Equations (14)

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d E X 1 , X 2 d t = 1 2 ( 1 + i α ) ( G X 1 , X 2 γ ) E X 1 , X 2 + k X E X 2 , X 1 ( t τ ) exp [ i ( ± Δ ω A t ω X 2 , X 1 τ ) ] ,
d E Y 1 , Y 2 d t = 1 2 ( 1 + i α ) ( G Y 1 , Y 2 γ ) E Y 1 , Y 2 + k Y E Y 2 , Y 1 ( t τ ) exp [ i ( ± Δ ω B t ω Y 2 , Y 1 τ ) ] ,
d N 1 , 2 d t = J 1 , 2 q γ e N 1 , 2 G X 1 , X 2 E X 1 , X 2 2 G Y 1 , Y 2 E Y 1 , Y 2 2 .
g X = g [ 1 + g 0 g ( 1 J J 0 ) ] , g Y = g ,
d F X 1 , X 2 d s = ( 1 + i α ) M X 1 , X 2 F X 1 , X 2 + η X F X 2 , X 1 ( s ε ) exp [ i ( ± θ A ϕ X 2 , X 1 ) ] ,
d F Y 1 , Y 2 d s = ( 1 + i α ) M Y 1 , Y 2 F Y 1 , Y 2 + η Y F Y 2 , Y 1 ( s ε ) exp [ i ( ± θ B ϕ Y 2 , Y 1 ) ] ,
T d M X 1 , X 2 d s = P X 1 , X 2 M X 1 , X 2 μ [ ( 1 + 2 M X 1 , X 2 ) F X 1 , X 2 2 ( 1 + 2 M Y 1 , Y 2 ) F Y 1 , Y 2 2 ] ,
T d M Y 1 , Y 2 d s = P Y 1 , Y 2 M Y 1 , Y 2 ( 1 + 2 M X 1 , X 2 ) F X 1 , X 2 2 ( 1 + 2 M Y 1 , Y 2 ) F Y 1 , Y 2 2 .
M X = μ ( M Y + 0.5 ) 0.5 .
d F X 1 , X 2 d s = ( 1 + i α ) M X 1 , X 2 F X 1 , X 2 + η Y F Y 2 , Y 1 ( s ε ) exp [ i ( ± θ C ϕ Y 2 , Y 1 ) ] ,
d F Y 1 , Y 2 d s = ( 1 + i α ) M Y 1 , Y 2 F Y 1 , Y 2 + η X F X 2 , X 1 ( s ε ) exp [ i ( ± θ D ϕ X 2 , X 1 ) ] ,
d F X 1 d s = ( 1 + i α ) M X 1 F X 1 ,
F X 2 = F Y 1 = 0 ,
d F Y 2 d s = ( 1 + i α ) M Y 2 F Y 2 + η X F X 1 ( s ε ) exp [ i ( ± θ ϕ 1 ) ] .

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