M. C. Soriano, L. Zunino, O. A.
Rosso, I. Fischer, C. R. Mirasso, "Time scales of a chaotic
semiconductor laser with optical feedback under the lens of a
permutation information analysis," IEEE J. Quantum Electron.
47, 252-261 (2011).

S. Xiang, W. Pan, L. Yan, B. Luo,
X. Zou, N. Jiang, K. Wen, "Influence of
polarization-mode-competition on chaotic unpredictability of
vertical-cavity surface-emitting lasers with
polarization-rotated optical feedback," Opt. Lett. 36, 310-312
(2011).

J. Tiana-Alsina, M. C. Torrent, O.
A. Rosso, C. Masoller, J. Garcia-Ojalvo, "Quantifying the
statistical complexity of low-frequency fluctuations in
semiconductor lasers with optical feedback," Phys. Rev. A 82,
013819_1-013819_6 (2010).

S. Xiang, W. Pan, L. Yan, B. Luo,
N. Jiang, K. Wen, X. Zou, L. Yang, "Polarization degree of
vertical-cavity surface-emitting lasers subject to optical
feedback with controllable polarization.," J. Opt. Soc. Amer.
B. 27, 476-483 (2010).

N. Jiang, W. Pan, L. Yan, B. Luo,
W. Zhang, S. Xiang, L. Yang, D. Zheng, "Chaos synchronization
and communication in mutually coupled semiconductor lasers
driven by a third laser," J. Lightw. Technol. 28, 1978-1986
(2010).

Y. Hong, M. W. Lee, J. Paul, P. S.
Spencer, K. A. Shore, "GHz bandwidth message transmission
using chaotic vertical-cavity surface- emitting lasers," J.
Lightw. Technol. 27, 5099-5105 (2009).

J. Liu, Z. M. Wu, G. Q. Xia,
"Dual-channel chaos synchronization and communication based on
unidirectionally coupled VCSELs with polarization-rotated
optical feedback and polarization-rotated optical injection,"
Opt. Exp. 17, 12619-12626 (2009).

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

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

O. A. Rosso, R. Vicente, C. R.
Mirasso, "Encryption test of pseudo- aleatory messages
embedded on chaotic laser signals: an information theory
approach," Phys. Lett. A 372, 1018-1023
(2008).

L. Chrostowski, B. Faraji, W.
Hofmann, M. C. Amann, S. Wieczorek, W. W. Chow, "40 GHz
bandwidth and 64 GHz resonance frequency in injection-locked
1.55 $\mu$m VCSELs," IEEE J. Sel. Topics Quantum Electron. 13,
1200-1208 (2007).

M. Sciamanna, I. Gatare, A.
Locquet, K. Panajotov, "Polarization synchronization in
unidirectionally coupled vertical-cavity surface-emitting
lasers with orthogonal optical injection," Phys. Rev. E. 75,
056213_1-056213_10 (2007).

I. Gatare, M. Sciamanna, A.
Locquet, K. Panajotov, "Influence of polarization mode
competition on the synchronization of two unidirectionally
coupled vertical-cavity surface-emitting lasers," Opt. Lett.
32, 1629-1631 (2007).

O. A. Rosso, H. A. Larrondo, M. T.
Martin, A. Plastino, M. A. Fuentes, "Distinguishing noise from
chaos," Phys. Rev. Lett. 99, 154102_1-154102_4
(2007).

R. Ju, P. S. Spencer, K. A. Shore,
"Polarization-preserved and polarization-rotated
synchronization of chaotic vertical-cavity surface- emitting
lasers," IEEE J. Quantum Electron. 41, 1461-1467
(2005).

R. Vicente, J. Daudén, P. Colet,
R. Toral, "Analysis and characterization of the hyperchaos
generated by a semiconductor laser subject to a delayed
feedback loop," IEEE J. Quantum Electron. 41, 541-548
(2005).

C. Masoller, 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).

A. Argyris, D. Syvridis, L.
Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J.
García-Ojalvo, C. R. Mirasso, L. Pesquera, K. A. Shore,
"Chaos-based communications at high bit rates using commercial
fiberoptic links," Nature 437, 343-346 (2005).

Y. Cao, W. Tung, J. B. Gao, V. A.
Protopopescu, L. M. Hively, "Detecting dynamical changes in
time series using the permutation entropy," Phys. Rev. E 70,
046217_1-046217_7 (2004).

M. T. Martin, A. Plastino, O. A.
Rosso, "Statistical complexity and disequilibrium," Phys.
Lett. A 311, 126-132 (2003).

A. Scire, J. Mulet, C. R. Mirasso,
J. Danckaert, M. S. Miguel, "Polarization message encoding
through vectorial chaos synchronization in vertical-cavity
surface-emitting lasers," Phys. Rev. Lett. 90,
113901-1-113901-4 (2003).

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

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

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

C. Bandt, B. Pompe, "Permutation
entropy: A natural complexity measure for time series," Phys.
Rev. Lett. 88, 174102_1-174102_4 (2002).

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

V. Ahlers, U. Parlitz, W.
Lauterborn, "Hyperchaotic dynamics and synchronization of
external-cavity semiconductor lasers," Phys. Rev. E. 58,
7208-7213 (1998).

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

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

R. López-Ruiz, H. L. Mancini, X.
Calbet, "A statistical measure of complexity," Phys. Lett. A
209, 321-326 (1995).

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

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

L. M. Pecora, T. L. Carroll,
"Synchronization in chaotic systems," Phys. Rev. Lett. 64,
821-824 (1990).

J. D. Farmer, "Chaotic attractors
of an infinite-dimensional dynamical system," Physica D 4,
366-393 (1982).

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

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

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

C. Masoller, 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).

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

R. Ju, P. S. Spencer, K. A. Shore,
"Polarization-preserved and polarization-rotated
synchronization of chaotic vertical-cavity surface- emitting
lasers," IEEE J. Quantum Electron. 41, 1461-1467
(2005).

R. Vicente, J. Daudén, P. Colet,
R. Toral, "Analysis and characterization of the hyperchaos
generated by a semiconductor laser subject to a delayed
feedback loop," IEEE J. Quantum Electron. 41, 541-548
(2005).

M. C. Soriano, L. Zunino, O. A.
Rosso, I. Fischer, C. R. Mirasso, "Time scales of a chaotic
semiconductor laser with optical feedback under the lens of a
permutation information analysis," IEEE J. Quantum Electron.
47, 252-261 (2011).

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

L. Chrostowski, B. Faraji, W.
Hofmann, M. C. Amann, S. Wieczorek, W. W. Chow, "40 GHz
bandwidth and 64 GHz resonance frequency in injection-locked
1.55 $\mu$m VCSELs," IEEE J. Sel. Topics Quantum Electron. 13,
1200-1208 (2007).

S. Y. Xiang, W. Pan, L. S. Yan, B.
Luo, X. H. Zou, N. Jiang, K. H. Wen, "Quantifying chaotic
unpredictability of vertical-cavity surface-emitting lasers
with polarized optical feedback via permutation entropy," IEEE
J. Sel. Topics Quantum Electron. (to be
published).

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

N. Jiang, W. Pan, L. Yan, B. Luo,
W. Zhang, S. Xiang, L. Yang, D. Zheng, "Chaos synchronization
and communication in mutually coupled semiconductor lasers
driven by a third laser," J. Lightw. Technol. 28, 1978-1986
(2010).

Y. Hong, M. W. Lee, J. Paul, P. S.
Spencer, K. A. Shore, "GHz bandwidth message transmission
using chaotic vertical-cavity surface- emitting lasers," J.
Lightw. Technol. 27, 5099-5105 (2009).

S. Xiang, W. Pan, L. Yan, B. Luo,
N. Jiang, K. Wen, X. Zou, L. Yang, "Polarization degree of
vertical-cavity surface-emitting lasers subject to optical
feedback with controllable polarization.," J. Opt. Soc. Amer.
B. 27, 476-483 (2010).

A. Argyris, D. Syvridis, L.
Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J.
García-Ojalvo, C. R. Mirasso, L. Pesquera, K. A. Shore,
"Chaos-based communications at high bit rates using commercial
fiberoptic links," Nature 437, 343-346 (2005).

J. Liu, Z. M. Wu, G. Q. Xia,
"Dual-channel chaos synchronization and communication based on
unidirectionally coupled VCSELs with polarization-rotated
optical feedback and polarization-rotated optical injection,"
Opt. Exp. 17, 12619-12626 (2009).

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

I. Gatare, M. Sciamanna, A.
Locquet, K. Panajotov, "Influence of polarization mode
competition on the synchronization of two unidirectionally
coupled vertical-cavity surface-emitting lasers," Opt. Lett.
32, 1629-1631 (2007).

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

S. Xiang, W. Pan, L. Yan, B. Luo,
X. Zou, N. Jiang, K. Wen, "Influence of
polarization-mode-competition on chaotic unpredictability of
vertical-cavity surface-emitting lasers with
polarization-rotated optical feedback," Opt. Lett. 36, 310-312
(2011).

D. M. Kane, J. P. Toomey, M. W.
Lee, K. A. Shore, "Correlation dimension signature of wideband
chaos synchronization of semiconductor lasers," Opt. Lett. 31,
20-22 (2006).

R. López-Ruiz, H. L. Mancini, X.
Calbet, "A statistical measure of complexity," Phys. Lett. A
209, 321-326 (1995).

M. T. Martin, A. Plastino, O. A.
Rosso, "Statistical complexity and disequilibrium," Phys.
Lett. A 311, 126-132 (2003).

O. A. Rosso, R. Vicente, C. R.
Mirasso, "Encryption test of pseudo- aleatory messages
embedded on chaotic laser signals: an information theory
approach," Phys. Lett. A 372, 1018-1023
(2008).

J. Tiana-Alsina, M. C. Torrent, O.
A. Rosso, C. Masoller, J. Garcia-Ojalvo, "Quantifying the
statistical complexity of low-frequency fluctuations in
semiconductor lasers with optical feedback," Phys. Rev. A 82,
013819_1-013819_6 (2010).

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

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

Y. Cao, W. Tung, J. B. Gao, V. A.
Protopopescu, L. M. Hively, "Detecting dynamical changes in
time series using the permutation entropy," Phys. Rev. E 70,
046217_1-046217_7 (2004).

V. Ahlers, U. Parlitz, W.
Lauterborn, "Hyperchaotic dynamics and synchronization of
external-cavity semiconductor lasers," Phys. Rev. E. 58,
7208-7213 (1998).

M. Sciamanna, I. Gatare, A.
Locquet, K. Panajotov, "Polarization synchronization in
unidirectionally coupled vertical-cavity surface-emitting
lasers with orthogonal optical injection," Phys. Rev. E. 75,
056213_1-056213_10 (2007).

L. M. Pecora, T. L. Carroll,
"Synchronization in chaotic systems," Phys. Rev. Lett. 64,
821-824 (1990).

A. Scire, J. Mulet, C. R. Mirasso,
J. Danckaert, M. S. Miguel, "Polarization message encoding
through vectorial chaos synchronization in vertical-cavity
surface-emitting lasers," Phys. Rev. Lett. 90,
113901-1-113901-4 (2003).

O. A. Rosso, H. A. Larrondo, M. T.
Martin, A. Plastino, M. A. Fuentes, "Distinguishing noise from
chaos," Phys. Rev. Lett. 99, 154102_1-154102_4
(2007).

C. Bandt, B. Pompe, "Permutation
entropy: A natural complexity measure for time series," Phys.
Rev. Lett. 88, 174102_1-174102_4 (2002).

J. D. Farmer, "Chaotic attractors
of an infinite-dimensional dynamical system," Physica D 4,
366-393 (1982).

M. C. Soriano, L. Zunino, O. A.
Rosso, C. R. Mirasso, "Quantifying complexity of the chaotic
regime of a semiconductor laser subject to feedback via
information theory measures," Proc. SPIE (2010) pp.
77202G_1-77202G_10.