Abstract
In this chapter we wrap up the experimental and theoretical results on polarization dynamics of solitary vertical-cavity surface-emitting lasers. Experiments have shown that VCSELs emit a linearly polarized fundamental transverse mode either along the [110] or \([1\overline 10]\) crystallographic direction. Polarization switching between these modes can occur when the injection current is increased, showing either a frequency shift from the higher to the lower frequency mode (type I) or the reverse (type II). The two modes of linear polarization are strongly anti-correlated. The switching can happen through a region of mode hopping, with a dwell time scaling over eight orders of magnitude with the switching current, or through a region of hysteresis. Thermal (carrier) effects influence the polarization behavior of VCSELs through a red (blue) shift of the gain maximum. Also, in-plane anisotropic strain can strongly modify the polarization behavior of VCSELs. All these experimental results call for explanations, as there is no a priori intrinsic polarization selection mechanism in VCSELs. We present different gain equalization models to explain type I, type II or double polarization switching. Alternatively, the spin-flip model can explain both types polarization switching by involving a microscopic spin-flip relaxation mechanism. Its predictive power has been experimentally established as, e.g., polarization switching through elliptically polarized states and dynamical instabilities. Finally, we highlight some perspective applications using polarization dynamics of VCSELs.
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References
H. Li, K. Iga (eds.), Vertical-Cavity Surface-Emitting Laser Devices (Springer, Berlin, 2003)
C. Wilmsen, H. Temkin, L.A. Coldren (eds.), Vertical-Cavity Surface-Emitting Lasers (Cambridge University Press, Cambridge, 1999)
L.A. Coldren, S.W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995)
W.W. Chow, S.W. Koch, M. Sargent III, Semiconductor-Laser Physics (Springer, Berlin, 1994)
S.L. Chuang, Physics of Optoelectronics Devices (Wiley, New York, 1995)
C.J. Chang-Hasnain, J.P. Harbison, G. Hasnain, A.C. Von Lehmen, L.T. Florez, N.G. Stoffel, Dynamic, polarization, and transverse-mode characteristics of vertical cavity surface emitting lasers. IEEE J. Quantum Electron. 27, 1402 (1991)
K.D. Choquette, D.A. Richie, R.E. Leibenguth, Temperature dependence of gain-guided vertical-cavity surface emitting laser polarization. Appl. Phys. Lett. 64, 2062 (1994)
A.K. Jansen van Doorn, M.P. van Exter, J.P. Woerdman, Elasto-optic anisotropy and polarization orientation of guided vertical-cavity surface-emitting semiconductor lasers. Appl. Phys. Lett. 69, 1041 (1996)
K.D. Choquette, R.E. Leibenguth, Control of vertical-cavity laser polarization with anisotropic transverse cavity geometries. IEEE Photon. Technol. Lett. 6, 40 (1994)
K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, I. Veretennicoff, Impact of in-plane anisotropic strain on the polarization behavior of vertical-cavity surface-emitting lasers. Appl. Phys. Lett. 77, 1590 (2000)
K. Panajotov, M. Camarena, M.C. Moreno, H.J. Unold, R. Michalzik, H. Thienpont, J. Danckaert, I. Veretennicoff, G. Verschaffelt, Polarization behavior and mode structure of vertical-cavity surface-emitting lasers with elliptical surface relief. Proceedings of SPIE, vol. 4994 (2003), p. 127
K. Panajotov, J. Danckaert, G. Verschaffelt, M. Peeters, B. Nagler, J. Albert, B. Ryvkin, H. Thienpont, I. Veretennicoff, Polarization behavior of vertical-cavity surface-emitting lasers: experiments, models and applications. Am. Inst. Phys. Conf. Proc. 560, 403 (2001)
A.K. Jansen van Doorn, M.P. van Exter, J.P. Woerdman, Tailoring the birefringence in a vertical-cavity semiconductor laser. Appl. Phys. Lett. 69, 3635 (1996)
A.K. Jansen van Doorn, M.P. van Exter, A.M. van der Lee, J.P. Woerdman, Coupled-mode description for the polarization state of a vertical-cavity semiconductor laser. Phys. Rev. 55, 1473 (1997)
M.P. van Exter, A.K. Jansen van Doorn, J.P. Woerdman, Electro-optic effect and birefringence in semiconductor vertical-cavity lasers. Phys. Rev. A 56, 845 (1997)
P. Debernardi, G.P. Bava, C. Degen, I. Fischer, W. Elsäßer, Influence of anisotropies on transverse modes in oxide-confined VCSELs. IEEE J. Quantum Electron 38, 73 (2002)
R.F.M. Hendriks, M.P. van Exter, J.P. Woerdman, A. van Geelen, L. Weegels, K.H. Gulden, M. Moser, Electro-optic birefringence in semiconductor vertical-cavity lasers. Appl. Phys. Lett. 71, 2599 (1997)
D. Vakhshoori, Symmetry considerations in vertical-cavity surface-emitting lasers: prediction of removal of polarization isotropicity on (001) substrates. Appl. Phys. Lett. 65, 259 (1994)
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 (1993)
S. Jiang, Z. Pan, M. Dagenais, R.A. Morgan, K. Kojiama, High-frequency polarization self-modulation in vertical-cavity surface-emitting lasers. Appl. Phys. Lett. 63, 3545 (1993)
K.D. Choquette, K.L. Lear, R.E. Leibenguth, M.T. Asom, Polarization modulation of cruciform vertical-cavity laser diodes. Appl. Phys. Lett. 64, 2767 (1994)
H. Kawaguchi, I.S. Hidayat, Y. Takahashi, Y. Yamayoshi, Pitchfork bifurcation polarization bistability in vertical-cavity surface-emitting lasers. Electron. Lett. 31, 109 (1995)
K.D. Choquette, R.P. Schneider Jr., K.L. Lear, R.E. Leibenguth, Gain-dependent polarization properties of vertical-cavity lasers. IEEE J. Select. Topics Quantum Electron. 1, 661 (1995)
J.E. Epler, S. Gehrsitz, K.H. Gulden, M. Moser, H.G. Sigg, H.W. Lehmann, Mode behavior and high resolution spectra of circularly symmetric GaAs-AlGaAs air-post vertical cavity surface emitting lasers. Appl. Phys. Lett. 69, 722 (1996)
U. Fiedler, G. Reiner, P. Schnitzer, K.J. Ebeling, Top surface-emitting vertical-cavity laser diodes for 10-Gb/s data transmission. IEEE Photon. Technol. Lett. 8, 746 (1996)
J. Martin-Regalado, J.L.A. Chilla, J.J. Rocca, P. Brusenbach, Polarization switching in vertical-cavity surface emitting lasers observed at constant active region temperature. Appl. Phys. Lett. 70, 3350 (1997)
H. Kawaguchi, Bistable laser diodes and their applications: state of the art. IEEE J. Select. Topics Quantum Electron 3, 1254 (1997)
C.L. Chua, R.L Thornton, D.W. Treat, R.M. Donaldson, Anisotropic apertures for polarization-stable laterally oxidized vertical-cavity lasers. Appl. Phys. Lett. 73, 1631 (1998)
K. Panajotov, B. Ryvkin, J. Danckaert, M. Peeters, H. Thienpont, I. Veretennicoff, Polarization switching in VCSEL’s due to thermal lensing. IEEE Photon. Technol. Lett. 10, 6 (1998)
M.P. van Exter, A. Al-Remawi, J.P. Woerdman, Polarization fluctuations demonstrate nonlinear anisotropy of a vertical-cavity semiconductor laser. Phys. Rev. Lett. 80, 4875 (1998)
M.P. van Exter, M.B. Willemsen, J.P. Woerdman, Polarization fluctuations in vertical-cavity semiconductor lasers. Phys. Rev. A 58, 4191 (1998)
M.B. Willemsen, M.P. van Exter, J.P. Woerdman, Correlated fluctuations in the polarization modes of a vertical-cavity semiconductor laser. Phys. Rev. A 60, 4105 (1999)
B. Ryvkin, K. Panajotov, A. Georgievski, J. Danckaert, M. Peeters, G. Verschaffelt, H. Thien pont, 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 (1999)
M.B. Willemsen, M.P. van Exter, J.P. Woerdman, Anatomy of a polarization switch of a vertical-cavity semiconductor laser. Phys. Rev. Lett. 84, 4337 (2000)
T. Ackemann, M. Sondermann, Characteristics of polarization switching from the low to the high frequency mode in vertical-cavity surface-emitting lasers. Appl. Phys. Lett. 78, 3574 (2001)
G. Verschaffelt, J. Albert, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, F. Marin, Frequency response of current-driven polarization modulation in vertical-cavity surface-emitting lasers. Appl. Phys. Lett. 80, 2248 (2002)
Y. Matsui, D. Vakhshoori, P. Wang, P. Chen, C.-C. Lu, M. Jiang, K. Knopp, S. Burroughs, P. Tayebati, Complete polarization mode control of long-wavelength tunable vertical-cavity surface-emitting lasers over 65-nm tuning up to 14-mW output power. IEEE J. Quantum Electron. 39, 1037 (2003)
M. Sondermann, M. Weinkath, T. Ackemann, Polarization switching to the gain-disfavored mode in vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 40, 97 (2004)
M. Sondermann, T. Ackemann, S. Balle, J. Mulet, K. Panajotov, Experimental and theoretical investigations on elliptically polarized dynamical transition states in the polarization switching of vertical-cavity surface-emitting lasers. Opt. Commun. 235, 421 (2004)
G. Giacomelli, F. Marin, M. Gabrysch, K.H. Gulden, M. Moser, Polarization competition and noise properties of VCSELs. Opt. Commun. 146, 136 (1998)
G. Giacomelli, F. Marin, I. Rabbiosi, Stochastic and bona fide resonance: an experimental investigation. Phys. Rev. Lett. 82, 675 (1999)
M.B. Willemsen, M.U.F. Khalid, M.P. van Exter, J.P. Woerdman, Polarization switching of a vertical-cavity semiconductor laser as a Kramers hopping problem. Phys. Rev. Lett. 82, 4815 (1999)
B. Nagler, M. Peeters, J. Albert, G. Verschaffelt, K. Panajotov, H. Thienpont, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, F. Marin, Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: theory and experiment. Phys. Rev. A 68, 013813 (2003)
G. Verschaffelt, J. Albert, B. Nagler, M. Peeters, J. Danckaert, S. Barbay, G. Giacomelli, F. Marin, Frequency response of polarization switching in vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 39, 1177 (2003)
J. Danckaert, M. Peeters, C. Mirasso, M.S. Miguel, G. Verschaffelt, J. Albert, B. Nagler, H. Unold, R. Michalzik, G. Giacomelli, F. Marin, Stochastic polarization switching dynamics in vertical-cavity surface-emitting lasers: theory and experiment. IEEE J. Select. Topics Quantum Electron. 10, 911 (2004)
G. van der Sande, M. Peeters, I. Veretennicoff, J. Danckaert, G. Verschaffelt, S. Balle, The effect of stress, temperature, and spin flip on polarization switching in vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 42, 898 (2006)
M. Ohtsu, Y. Teramachi, Y. Otsuka, A. Osaki, Analysis of mode-hopping phenomena in an AlGaAs laser. IEEE J. Quantum Electron. 22, 535 (1986)
R.M.A. Azzam, N.M. Bashara, Ellipsometry and Polarized Light (North-Holland Elsevier, Amsterdam, 1987)
F. Koyama, K. Morito, K. Iga, Intensity noise and polarization stability of GaAlAs-GaAs surface emitting lasers. IEEE J. Quantum Electron. 27, 1410 (1991)
D.V. Kuksenkov, H. Temkin, S. Swirhun, Polarization instability and relative intensity noise in vertical-cavity surface-emitting lasers. Appl. Phys. Lett. 67, 2141 (1995)
E. Goobar, J.W. Scott, B. Thibeault, G. Robinson, Y. Akulova, L.A. Coldren, Calibrated intensity noise measurements in microcavity laser diodes. Appl. Phys. Lett. 67, 3697 (1995)
D. Wiedenmann, P. Schnitzer, C. Jung, M. Grabherr, R. Jäger, R. Michalzik, K.J. Ebeling, Noise characteristics of 850 nm single-mode vertical cavity surface emitting lasers. Appl. Phys. Lett. 73, 717 (1998)
J.-L. Vey, C. Degen, K. Auen, W. Elsäßer, Quantum noise and polarization properties of vertical-cavity surface-emitting lasers. Phys. Rev. A 60, 3284 (1999)
D.C. Kilper, R.A. Ross, J.L. Carlsten, K.L. Lear, Squeezed light generated by a microcavity laser. Phys. Rev. A 55, R3323 (1997)
V. Badilita, J.-F. Carlin, M. Ilegems, M. Brunner, G. Verschaffelt, K. Panajotov, Control of polarization switching in vertical coupled-cavities surface emitting lasers. IEEE Photon. Techn. Lett. 16, 365 (2004)
R.P. Stanley, R. Houdré, U. Oesterle, M. Ilegems, C. Weisbuch, Coupled semiconductor microcavities. Appl. Phys. Lett. 65, 2093 (1994)
K. Panajotov, V. Badilita, J.-F. Carlin, H. Thienpont, I. Veretennicoff, Quantum confined Stark effect in coupled-cavity VCSELs. Proceedings of SPIE, vol. 5359 (2004), p. 360
D.M. Grasso, K.D. Choquette, Temperature-dependent polarization characteristics of composite-resonator vertical-cavity lasers. IEEE J. Quantum Electron. 41, 127 (2005)
S. Hallstein, J.D. Berger, M. Hilpert, H.C. Schneider, W.W. Rühle, F. Janke, S.W. Koch, H.M. Gibbs, G. Khitrova, M. Oestreich, Manifistation of coherent spin precession in stimulated semiconductor emission dynamics. Phys. Rev. B 56, R7076 (1997)
H. Ando, T. Sogawa, H. Gotoh, Photon-spin controlled lasing oscillation in surface-emitting lasers. Appl. Phys. Lett. 73, 566 (1998)
R.F.M. Hendriks, M.P. van Exter, J.P. Woerdman, K.H. Gulden, M. Moser, Memory effects for polarization of pump light in optically pumped vertical-cavity semiconductor lasers. IEEE J. Quantum Electron. 34, 1455 (1998)
E.L. Blansett, M.G. Raymer, G. Khitrova, H.M. Gibbs, D.K. Serkland, A.A. Allerman, K.M. Geib, Ultrafast polarization dynamics and noise in pulsed vertical-cavity surface-emitting lasers. Opt. Express 9, 312 (2001)
E.L. Blansett, M.G. Raymer, G. Cui, G. Khitrova, H.M. Gibbs, D.K. Serkland, A.A. Allerman, K.M. Geib, Picosecond polarization dynamics and noise in pulsed vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 41, 287 (2005)
M.Z. Maialle, M.H. Degani, Electron-spin relaxation in p-type quantum wells via electron-hole exchange interaction: the effects of the valence-band spin mixing and of an applied longitudinal electric field. Phys. Rev. B 55, 13771 (1997)
N.B. Patel, J.E. Ripper, P. Brosson, Behavior of threshold current and polarization of stimulated emission of GaAs injection lasers under uniaxial stress. IEEE J. Quantum Electron. 9, 338 (1973)
Y.C. Chen, J.M. Liu, Polarization bistability in semiconductor lasers. Appl. Phys. Lett. 46, 16 (1985)
Y.C. Chen, J.M. Liu, Polarization bistability in semiconductor laser: rate-equation analysis. Appl. Phys. Lett. 50, 1406 (1987)
W.E. Lamb, Theory of an optical maser. Phys. Rev. 134, A1429 (1964)
C. Tang, A. Schremer, T. Fujita, Bistability in two-mode semiconductor lasers via gain saturation. Appl. Phys. Lett. 51, 1392 (1987)
M. Asada, Y. Suematsu, Density-matrix theory of semiconductor lasers with relaxation broadening model—gain and gain-suppression in semiconductor lasers. IEEE J. Quantum Electron. 21, 434 (1985)
G.P. Agrawal, Gain nonlinearities in semiconductor lasers: theory and application to distributed feedback lasers. IEEE J. Quantum Electron. 23, 860 (1987)
M. Sargent III, Theory of a multimode quasi-equilibrium semiconductor-laser. Phys. Rev. A 48, 717 (1993)
A. Uskov, J. Mørk, J. Mark, Wave mixing in semiconductor-laser amplifiers due to carrier heating and spectral-hole burning. IEEE J. Quantum Electron. 30, 1769 (1994)
B.M. Yu, J.M. Liu, Polarization-dependent gain, gain nonlinearities, and emission characteristics of internally strained InGaAsP/InP semiconductor lasers. J. Appl. Phys. 69, 7444 (1991)
Y. Takahashi, H. Kawaguchi, Polarization-dependent gain saturations in quantum-well lasers. IEEE J. Quantum Electron. 36, 864 (2000)
Y. Takahashi, H. Kawaguchi, Strain-dependence of the gain saturations in InGaAsP/InP quantum-well gain media. IEEE J. Quantum Electron. 38, 1384 (2002)
J. Danckaert, B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff, T. Erneux, Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers. Opt. Commun. 201, 129 (2002)
J. Albert, G. van der Sande, B. Nagler, K. Panajotov, I. Veretennicoff, J. Danckaert, T. Erneux, The effects of nonlinear gain on the stability of semi-degenerate two-mode semiconductor lasers: a case study on VCSELs. Opt. Commun. 248, 527 (2005)
B.S. Ryvkin, E.A. Avrutin, M. Pessa, Polarization-dependent intersubband absorption saturation and its effect on polarization selection in vertical cavity surface-emitting lasers. J. Appl. Phys. 93, 2353 (2003)
B.S. Ryvkin, E.A. Avrutin, M. Pessa, Spontaneous emission, light-current characteristics, and polarization bistability range in vertical-cavity surface-emitting lasers. J. Appl. Phys. 94, 4267 (2003)
B.S. Ryvkin, E.A. Avrutin, A.C. Walker, Photon energy dependence of the sign of the current-induced absorption polarization sensitivity in degenerate semiconductors. Appl. Phys. Lett. 78, 2655 (2001)
B.S. Ryvkin, E.A. Avrutin, A.C. Walker, Current-directionality-induced giant absorption dichroism in III-V semiconductors and its potential for polarization control in vertical cavity surface-emitting lasers. J. Appl. Phys. 91, 3516 (2002)
H. Kawaguchi, I.H. White, M.J. Offside, J.E. Carroll, Ultrafast switching in polarization-bistable laser-diodes. Opt. Lett. 17, 130 (1992)
A. Valle, L. Pesquera, K.A. Shore, Polarization behaviour of birefringent multitransverse mode vertical-cavity surface-emitting lasers. IEEE Photon. Technol. Lett. 9, 557 (1997)
M. San Miguel, Q. Feng, J.V. Moloney, Light-polarization dynamics in surface-emitting semiconductor lasers. Phys. Rev. A 52, 1728 (1995)
A. Tackeuchi, Y. Nishikawa, O. Wada, Room-temperature electron spin dynamics in GaAs/ AlGaAs quantum wells. Appl. Phys. Lett. 68, 797 (1996)
A. Tackeuchi, O. Wada, Y. Nishikawa, Electron spin relaxation in InGaAs/InP multiple-quantum wells. Appl. Phys. Lett. 70, 1131 (1997)
S. Akasaka, S. Miyata, T. Kuroda, A. Tackeuchi, Exciton spin relaxation dynamics in InGaAs/InP quantum wells. Appl. Phys. Lett. 85, 2083 (2004)
M.I. D’yakonov, V.I. Perel, Optical orientation in a system of electrons and lattice nuclei in semiconductors: theory. Zh. Eksp. Teor. Fiz. 65, 362 (1973)
M.I. D’yakonov, V.I. Perel, Optical orientation in a system of electrons and lattice nuclei in semiconductors. Sov. Phys. JETP 38, 177 (1974)
R.J. Elliott, Theory of the effect of spin-orbit coupling on magnetic resonance in some semiconductors. Phys. Rev. 96, 266 (1954)
Y. Yafet, g factors and spin-lattice relaxation of conduction electrons, in Solid State Physics, vol. 14, ed. by F. Seitz, D. Turnbull (Academic Press, New York, 1963), pp. 1–98
G.L. Bir, A.G. Aronov, G.E. Pikus, Spin relaxation of electrons scattered by holes. Zh. Eksp. Teor. Fiz. 69, 1382 (1975)
G.L. Bir, A.G. Aronov, G.E. Pikus, Spin relaxation of electrons scattered by holes. Sov. Phys. JETP 42, 705 (1976)
T. Adachi, Y. Ohno, R. Terauchi, F. Matsukura, H. Ohno, Mobility dependence of electron spin relaxation time in n-type InGaAs/InAlAs multiple quantum wells. Physica E 7, 1015 (2000)
K. Jarasiunas, V. Gudelis, R. Aleksiejunas, M. Sudzius, S. Iwamoto, M. Nishioka, T. Shimura, K. Kuroda, Y. Arakawa, Picosecond dynamics of spin-related optical nonlinearities in \(\hbox{In}_x \hbox{Ga}_{1-x}\) As multiple quantum wells at 1064 nm. Appl. Phys. Lett. 84, 1043 (2004)
J. Martin-Regalado, M. San Miguel, N.B. Abraham, F. Prati, Polarization switching in quantum-well vertical-cavity surface-emitting lasers. Opt. Lett. 21, 351 (1996)
J. Martin-Regalado, F. Prati, M. San Miguel, N.B. Abraham, Polarization properties of vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron 33, 765 (1997)
M. Travagnin, M.P. van Exter, A.K. Jansen van Doorn, J.P. Woerdman, Role of optical anisotropies in the polarization properties of surface-emitting semiconductor lasers. Phys. Rev. A 54, 1647 (1996)
C. Serrat, N.B. Abraham, M. San Miguel, R. Vilaseca, J. Martin-Regalado, Polarization dynamics in a vertical-cavity laser with an axial magnetic field. Phys. Rev. A 53, R3731 (1996)
M. Travagnin, Linear anisotropies and polarization properties of vertical-cavity surface-emitting semiconductor lasers. Phys. Rev. A 56, 4094 (1997)
H.F. Hofmann, O. Hess, Quantum noise and polarization fluctuations in vertical-cavity surface-emitting lasers. Phys. Rev. A 56, 868 (1997)
H. van der Lem, D. Lenstra, Saturation-induced frequency shift in the noise spectrum of a birefringent vertical-cavity surface emitting laser. Opt. Lett. 22, 1698 (1997)
M.P. van Exter, R.F.M. Hendriks, J.P. Woerdman, Physical insight into the polarization dynamics of semiconductor vertical-cavity lasers. Phys. Rev. A 57, 2080 (1998)
S. Balle, E. Tolkachova, M. San Miguel, J.R. Tredicce, J. Martin-Regalado, A. Gahl, Mechanisms of polarization switching in single-transverse-mode vertical-cavity surface-emitting lasers: thermal shift and nonlinear semiconductor dynamics. Opt. Lett. 24, 1121 (1999)
J. Martin-Regalado, S. Balle, M. San Miguel, Polarization and transverse-mode dynamics of gain-guided vertical-cavity surface-emitting lasers. Opt. Lett. 22, 460 (1997)
J. Martin-Regalado, S. Balle, M. San Miguel, A. Valle, L. Pesquera, Polarization and transverse-mode selection in quantum-well vertical-cavity surface-emitting lasers: index and gain-guided devices. J. Opt. B. Quantum Semiclass. Opt. 9, 713 (1997)
J. Mulet, S. Balle, Spatio-temporal modeling of the optical properties of VCSELs in the presence of polarization effects. IEEE J. Quantum Electron. 38, 291 (2002)
M.S. Torre, C. Masoller, P. Mandel, Transverse and polarization effects in index-guided vertical-cavity surface-emitting lasers. Phys. Rev. A 74, 043808 (2006)
C. Masoller, M.S. Torre, K.A. Shore, Polarization dynamics of current-modulated vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 43, 1074 (2007)
F. Prati, G. Giacomelli, F. Marin, Competition between orthogonally polarized transverse modes in vertical-cavity surface-emitting lasers and its influence on intensity noise. Phys. Rev. A 62, 033810 (2000)
D. Burak, J.V. Moloney, R. Binder, Microscopic theory of polarization properties of optically anisotropic vertical-cavity surface-emitting lasers. Phys. Rev. A 61, 053809 (2000)
D. Burak, J.V. Moloney, R. Binder, Macroscopic versus microscopic description of polarization properties of optically anisotropic vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 36, 956 (2000)
G. van der Sande, J. Danckaert, I. Veretennicoff, K. Panajotov, S. Balle, Analytical approximation for the quantum-well gain and refractive-index spectra of vertical-cavity surface-emitting lasers including the effect of uniaxial planar stress. Phys. Rev. A 71, 063801 (2005)
R.F.M. Hendriks, M.P. van Exter, J.P. Woerdman, How the carrier momentum influences the polarization properties of a vertical-cavity semiconductor laser. Phys. Rev. A 59, 765 (1999)
F. Prati, L. Fratta, M. Travagnin, Band model for light-polarization selection in unstrained quantum-well vertical-cavity surface-emitting laser. Phys. Rev. A 62, 033819 (2000)
F. Prati, P. Caccia, F. Castelli, Effects of gain saturation on polarization switching in vertical-cavity semiconductor lasers. Phys. Rev. A 66, 063811 (2002)
T. Erneux, J. Danckaert, K. Panajotov, I. Veretennicoff, Two-variable reduction of the San Miguel–Feng–Moloney model for vertical-cavity surface-emitting lasers. Phys. Rev. A 59, 4660 (1999)
F. Prati, P. Caccia, M. Bache, F. Castelli, Analysis of elliptically polarized states in vertical-cavity surface-emitting lasers. Phys. Rev. A 69, 033810 (2004)
C. Masoller, M.S. Torre, P. Mandel, Influence of the injection current sweep rate on the polarization switching of vertical-cavity surface-emitting lasers. J. Appl. Phys. 99, 026106 (2006)
J. Paul, C. Masoller, P. Mandel, Y.H. Hong, P.S. Spencer, K.A. Shore, Experimental and theoretical study of dynamical hysteresis and scaling laws in the polarization switching of vertical-cavity surface-emitting lasers. Phys. Rev. A 77, 043803 (2008)
M.S. Torre, C. Masoller, Polarization-resolved modulation response of single-transverse-mode vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 45, 206 (2009)
J. Mulet, C.R. Mirasso, M. San Miguel, Polarization resolved intensity noise in vertical-cavity surface-emitting lasers. Phys. Rev. A 64, 023817 (2001)
J.M. Liu, Y.C. Chen, Digital optical signal-processing with polarization-bistable semicon- ductor-lasers. IEEE J. Quantum Electron. 21, 298 (1985)
T. Mori, Y. Yamayoshi, H. Kawaguchi, Low-switching-energy and high-repetition-frequency all-optical flip-flop operation of polarization bistable vertical-cavity surface-emitting laser. Appl. Phys. Lett. 88, 101102 (2006)
T. Mori, Y. Sato, H. Kawaguchi, Timing jitter reduction by all-optical signal regeneration using a polarization bistable VCSEL. J. Lightwave Technol. 26, 2946 (2008)
H. Kawaguchi, T. Mori, Y. Sato, Y. Yamayoshi, Optical buffer memory using polarization-bistable vertical-cavity surface-emitting lasers. Jpn. J. Appl. Phys. 45, L894 (2006)
J. Rudolph, S. Döhrmann, D. Hägele, M. Oestreich, W. Stolz, Room-temperature threshold reduction in vertical-cavity surface-emitting lasers by injection of spin-polarized electrons. Appl. Phys. Lett. 87, 241117 (2005)
Acknowledgments
Some of the works presented in this chapter have been undertaken with other past and present colleagues, as acknowledged via the relevant reference citations. KP wishes to acknowledge the FWO (Fund for Scientific Research - Flanders) and the Research Council (OZR) of the Vrije Universiteit Brussel.
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Panajotov, K., Prati, F. (2013). Polarization Dynamics of VCSELs. In: Michalzik, R. (eds) VCSELs. Springer Series in Optical Sciences, vol 166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24986-0_6
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