Polarization Dynamics of VCSELs

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.

[1]  Kent D. Choquette,et al.  Gain-dependent polarization properties of vertical-cavity lasers , 1995 .

[2]  C. Masoller,et al.  Polarization Dynamics of Current-Modulated Vertical-Cavity Surface-Emitting Lasers , 2007, IEEE Journal of Quantum Electronics.

[3]  Hideki Gotoh,et al.  Photon-spin controlled lasing oscillation in surface-emitting lasers , 1998 .

[4]  Salvador Balle,et al.  Polarization and transverse-mode selection in quantum-well vertical-cavity surface-emitting lasers: index- and gain-guided devices , 1997 .

[5]  Polarization resolved intensity noise in vertical-cavity surface-emitting lasers , 2001 .

[6]  K. Choquette,et al.  Polarization modulation of cruciform vertical-cavity laser diodes , 1994 .

[7]  Salvador Balle,et al.  Experimental and theoretical investigations on elliptically polarized dynamical transition states in the polarization switching of vertical-cavity surface-emitting lasers , 2004 .

[8]  Neal B. Abraham,et al.  Polarization properties of vertical-cavity surface-emitting lasers , 1997 .

[9]  Rainer Michalzik,et al.  Noise characteristics of 850 nm single-mode vertical cavity surface emitting lasers , 1998 .

[10]  H. Thienpont,et al.  Polarization switching in VCSEL's due to thermal lensing , 1998, IEEE Photonics Technology Letters.

[11]  Abraham,et al.  Polarization dynamics in a vertical-cavity laser with an axial magnetic field. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[12]  Francesco Marin,et al.  Stochastic and Bona Fide Resonance: An Experimental Investigation , 1999 .

[13]  Macroscopic versus microscopic description of polarization properties of optically anisotropic vertical-cavity surface-emitting lasers , 2000, IEEE Journal of Quantum Electronics.

[14]  Cristina Masoller,et al.  Influence of the injection current sweep rate on the polarization switching of vertical-cavity surface-emitting lasers , 2006 .

[15]  P. Brosson,et al.  Behavior of threshold current and polarization of stimulated emission of GaAs injection lasers under uniaxial stress , 1973 .

[16]  R. J. Elliott,et al.  Theory of the Effect of Spin-Orbit Coupling on Magnetic Resonance in Some Semiconductors , 1954 .

[17]  Hugo Thienpont,et al.  Polarization-mode hopping in single-mode vertical-cavity surface-emitting lasers: Theory and experiment , 2003 .

[18]  T. Fujita,et al.  Bistability in two‐mode semiconductor lasers via gain saturation , 1987 .

[19]  Marc Ilegems,et al.  Coupled semiconductor microcavities , 1994 .

[20]  H. Kawaguchi,et al.  Polarization-dependent gain saturations in quantum-well lasers , 2000, IEEE Journal of Quantum Electronics.

[21]  Mario Dagenais,et al.  High‐frequency polarization self‐modulation in vertical‐cavity surface‐emitting lasers , 1993 .

[22]  H. Kawaguchi,et al.  Strain-dependence of the gain saturations in InGaAsP/InP quantum-well gain media , 2002 .

[23]  K. Shore,et al.  Polarization behavior of birefringent multitransverse mode vertical-cavity surface-emitting lasers , 1997, IEEE Photonics Technology Letters.

[24]  K. Choquette,et al.  Temperature dependence of gain‐guided vertical‐cavity surface emitting laser polarization , 1994 .

[25]  Wolfgang Stolz,et al.  Room-temperature threshold reduction in vertical-cavity surface-emitting lasers by injection of spin-polarized electrons , 2005 .

[26]  Govind P. Agrawal,et al.  Gain nonlinearities in semiconductor lasers: Theory and application to distributed feedback lasers , 1987 .

[27]  A. Tackeuchi,et al.  Exciton spin relaxation dynamics in InGaAs/InP quantum wells , 2004 .

[28]  San Miguel M,et al.  Light-polarization dynamics in surface-emitting semiconductor lasers. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[29]  L. Coldren,et al.  Calibrated intensity noise measurements in microcavity laser diodes , 1995 .

[30]  O. Wada,et al.  Room‐temperature electron spin dynamics in GaAs/AlGaAs quantum wells , 1996 .

[31]  Jerome V Moloney,et al.  Microscopic theory of polarization properties of optically anisotropic vertical-cavity surface-emitting lasers , 2000 .

[32]  J. Liu,et al.  Polarization bistability in semiconductor lasers , 1985 .

[33]  J. P. Woerdman,et al.  Tailoring the birefringence in a vertical‐cavity semiconductor laser , 1996 .

[34]  F. Castelli,et al.  Effects of gain saturation on polarization switching in vertical-cavity surface-emitting lasers , 2002 .

[35]  Stephan W Koch,et al.  Semiconductor-Laser Physics , 1994 .

[36]  B. Ryvkin,et al.  Polarization-dependent intersubband absorption saturation and its effect on polarization selection in vertical cavity surface-emitting lasers , 2003 .

[37]  Willemsen Mb,et al.  Anatomy of a polarization switch of a vertical-cavity semiconductor laser , 2000 .

[38]  Daryoosh Vakhshoori,et al.  Symmetry considerations in vertical‐cavity surface‐emitting lasers: Prediction of removal of polarization isotropicity on (001) substrates , 1994 .

[39]  M. Dyakonov,et al.  Optical orientation in a system of electrons and lattice nuclei in semiconductors. Theory , 1974 .

[40]  Karsten Auen,et al.  Quantum noise and polarization properties of vertical-cavity surface-emitting lasers , 1999 .

[41]  H. van der Lem,et al.  Saturation-induced frequency shift in the noise spectrum of a birefringent vertical-cavity surface emitting laser. , 1997, Optics letters.

[42]  Hugo Thienpont,et al.  Polarization behavior of vertical-cavity surface-emitting lasers: Experiments, models and applications , 2001 .

[43]  Hugo Thienpont,et al.  Polarization behavior and mode structure of vertical-cavity surface-emitting lasers with elliptical surface relief , 2003, SPIE OPTO.

[44]  Bob Nagler,et al.  Minimal rate equations describing polarization switching in vertical-cavity surface-emitting lasers , 2002 .

[45]  Stephan W Koch,et al.  MANIFESTATION OF COHERENT SPIN PRECESSION IN STIMULATED SEMICONDUCTOR EMISSION DYNAMICS , 1997 .

[46]  O. Hess,et al.  Quantum noise and polarization fluctuations in vertical-cavity surface-emitting lasers , 1997, quant-ph/9703034.

[47]  Bob Nagler,et al.  Frequency response of polarization switching in vertical-cavity surface-emitting lasers , 2003 .

[48]  Woerdman,et al.  Role of optical anisotropies in the polarization properties of surface-emitting semiconductor lasers. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[49]  M. Travagnin,et al.  Band model for light-polarization selection in unstrained quantum-well vertical-cavity surface-emitting lasers , 2000 .

[50]  L. Coldren,et al.  Diode Lasers and Photonic Integrated Circuits , 1995 .

[51]  Bob Nagler,et al.  The effects of nonlinear gain on the stability of semi-degenerate two-mode semiconductor lasers: a case study on VCSELs , 2005 .

[52]  J. Danckaert,et al.  Analytical approximation for the quantum-well gain and refractive-index spectra of vertical-cavity surface-emitting lasers including the effect of uniaxial planar stress , 2005 .

[53]  Motoichi Ohtsu,et al.  Analyses of mode-hopping phenomena in an AlGaAs laser , 1986 .

[54]  J. Rocca,et al.  Polarization switching in vertical-cavity surface emitting lasers observed at constant active region temperature , 1997 .

[55]  J. P. Woerdman,et al.  Correlated fluctuations in the polarization modes of a vertical-cavity semiconductor laser , 1999 .

[56]  Masahiro Asada,et al.  Density-matrix theory of semiconductor lasers with relaxation broadening model-gain and gain-suppression in semiconductor lasers , 1985 .

[57]  Polarization-Resolved Modulation Response of Single-Transverse-Mode Vertical-Cavity Surface-Emitting Lasers , 2009, IEEE Journal of Quantum Electronics.

[58]  B. Yu,et al.  Polarization‐dependent gain, gain nonlinearities, and emission characteristics of internally strained InGaAsP/InP semiconductor lasers , 1991 .

[59]  Henryk Temkin,et al.  Polarization instability and relative intensity noise in vertical‐cavity surface‐emitting lasers , 1995 .

[60]  Kenichi Iga,et al.  Intensity noise and polarization stability of GaAlAs-GaAs surface emitting lasers , 1991 .

[61]  M San Miguel,et al.  Mechanisms of polarization switching in single-transverse-mode vertical-cavity surface-emitting lasers: thermal shift and nonlinear semiconductor dynamics. , 1999, Optics letters.

[62]  K. Choquette,et al.  Control of vertical-cavity laser polarization with anisotropic transverse cavity geometries , 1994, IEEE Photonics Technology Letters.

[63]  A. Walker,et al.  Photon energy dependence of the sign of the current-induced absorption polarization sensitivity in degenerate semiconductors , 2001 .

[64]  J. Danckaert,et al.  Two-variable reduction of the San Miguel-Feng-Moloney model for vertical-cavity surface-emitting lasers , 1999 .

[65]  M. Travagnin Linear anisotropies and polarization properties of vertical-cavity surface-emitting semiconductor lasers , 1997 .

[66]  B. Ryvkin,et al.  Spontaneous emission, light–current characteristics, and polarization bistability range in vertical-cavity surface-emitting lasers , 2003 .

[67]  Electron-spin relaxation in p-type quantum wells via the electron-hole exchange interaction:The effects of the valence-band spin mixing and of an applied longitudinal electric field , 1997 .

[68]  S. Balle,et al.  Spatio-temporal modeling of the optical properties of VCSELs in the presence of polarization effects , 2002 .

[69]  J. Danckaert,et al.  Stochastic polarization switching dynamics in vertical-cavity surface-emitting lasers: theory and experiment , 2004, IEEE Journal of Selected Topics in Quantum Electronics.

[70]  Sargent Theory of a multimode quasiequilibrium semiconductor laser. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[71]  H. Kawaguchi,et al.  Bistable laser diodes and their applications: state of the art , 1997 .

[72]  H. Ohno,et al.  Mobility dependence of electron spin relaxation time in n-type InGaAs/InAlAs multiple quantum wells , 2000 .

[73]  G. Verschaffelt,et al.  Control of polarization switching in vertical coupled-cavities surface emitting lasers , 2004, IEEE Photonics Technology Letters.

[74]  J. P. Woerdman,et al.  Elasto‐optic anisotropy and polarization orientation of vertical‐cavity surface‐emitting semiconductor lasers , 1996 .

[75]  Hitoshi Kawaguchi,et al.  Pitchfork bifurcation polarisation bistability in vertical-cavity surface-emitting lasers , 1995 .

[76]  G. Giacomelli,et al.  Polarization competition and noise properties of VCSELs , 1998 .

[77]  A. C. Walker,et al.  Current-directionality-induced giant absorption dichroism in III-V semiconductors and its potential for polarization control in vertical cavity surface-emitting lasers , 2002 .

[78]  M. S. Miguel,et al.  Polarization switching in quantum-well vertical-cavity surface-emitting lasers. , 1996, Optics letters.

[79]  W. Lamb Theory of an optical maser , 1964 .

[80]  R. Azzam,et al.  Ellipsometry and polarized light , 1977 .

[81]  D. W. Treat,et al.  Anisotropic apertures for polarization-stable laterally oxidized vertical-cavity lasers , 1998 .

[82]  Osamu Wada,et al.  Electron spin relaxation in InGaAs/InP multiple-quantum wells , 1997 .

[83]  Y. Yafet g Factors and Spin-Lattice Relaxation of Conduction Electrons , 1963 .

[84]  I H White,et al.  Ultrafast switching in polarization-bistable laser diodes. , 1992, Optics letters.

[85]  Hugo Thienpont,et al.  Impact of in-plane anisotropic strain on the polarization behavior of vertical-cavity surface-emitting lasers , 2000 .

[86]  Larry A. Coldren,et al.  Vertical-Cavity Surface-Emitting Lasers , 2001 .

[87]  J. P. Woerdman,et al.  Electro-optic birefringence in semiconductor vertical-cavity lasers , 1997 .

[88]  J. P. Woerdman,et al.  Polarization fluctuations in vertical-cavity semiconductor lasers , 1998 .

[89]  Irina Veretennicoff,et al.  Semiconductor lasers for quantum sensing , 2004, SPIE OPTO.

[90]  J. Mørk,et al.  Wave mixing in semiconductor laser amplifiers due to carrier heating and spectral-hole burning , 1994 .

[91]  K. Choquette,et al.  Temperature-dependent polarization characteristics of composite-resonator vertical-cavity lasers , 2005, IEEE Journal of Quantum Electronics.

[92]  H. Thienpont,et al.  Effect of photon-energy-dependent loss and gain mechanisms on polarization switching in vertical-cavity surface-emitting lasers , 1999 .

[93]  H. Li,et al.  Vertical-cavity surface-emitting laser devices , 2003 .

[94]  Hugo Thienpont,et al.  Quantum confined Stark effect in coupled-cavity VCSELs , 2004, SPIE Photonics Europe.

[95]  Hitoshi Kawaguchi,et al.  Low-switching-energy and high-repetition-frequency all-optical flip-flop operations of a polarization bistable vertical-cavity surface-emitting laser , 2006 .

[96]  Y. Matsui,et al.  Complete polarization mode control of long-wavelength tunable vertical-cavity surface-emitting lasers over 65-nm tuning, up to 14-mW output power , 2003 .

[97]  J. P. Woerdman,et al.  POLARIZATION FLUCTUATIONS DEMONSTRATE NONLINEAR ANISOTROPY OF A VERTICAL-CAVITY SEMICONDUCTOR LASER , 1998 .

[98]  Hitoshi Kawaguchi,et al.  Optical Buffer Memory Using Polarization-Bistable Vertical-Cavity Surface-Emitting Lasers , 2006 .

[99]  Thorsten Ackemann,et al.  Characteristics of polarization switching from the low to the high frequency mode in vertical-cavity surface-emitting lasers , 2001 .

[100]  J. Sheu,et al.  Low Schottky barrier to etched p-GaN using regrown AlInGaN and InGaN contact layer , 2006 .

[101]  H. Gibbs,et al.  Picosecond polarization dynamics and noise in pulsed vertical-cavity surface-emitting lasers , 2005, IEEE Journal of Quantum Electronics.

[102]  Jai-Ming Liu,et al.  Digital optical signal processing with polarization-bistable semiconductor lasers , 1985 .

[103]  G Khitrova,et al.  Ultrafast polarization dynamics and noise in pulsed vertical-cavity surface-emitting lasers. , 2001, Optics Express.

[104]  Hans W. Lehmann,et al.  Mode behavior and high resolution spectra of circularly‐symmetric GaAs‐AlGaAs air‐post vertical cavity surface emitting lasers , 1996 .

[105]  J. P. Woerdman,et al.  ELECTRO-OPTIC EFFECT AND BIREFRINGENCE IN SEMICONDUCTOR VERTICAL-CAVITY LASERS , 1997 .

[106]  G. Van der Sande,et al.  The effects of stress, temperature, and spin flips on polarization switching in vertical-cavity surface-emitting lasers , 2006, IEEE Journal of Quantum Electronics.

[107]  J. P. Woerdman,et al.  Coupled-mode description for the polarization state of a vertical-cavity semiconductor laser , 1997 .

[108]  J. P. Woerdman,et al.  Polarization switching of a vertical-cavity semiconductor laser as a Kramers hopping problem , 1999 .

[109]  J. P. Harbison,et al.  Dynamic, polarization, and transverse mode characteristics of vertical cavity surface emitting lasers , 1991 .

[110]  Daniel C. Kilper,et al.  Squeezed light generated by a microcavity laser , 1997, QELS 1997.

[111]  Ingo Fischer,et al.  Influence of anisotropies on transverse modes in oxide-confined VCSELs , 2002 .

[112]  J. P. Woerdman,et al.  Memory effect for polarization of pump light in optically pumped vertical-cavity semiconductor lasers , 1998 .

[113]  T. Ackemann,et al.  Polarization switching to the gain disfavored mode in vertical-cavity surface-emitting lasers , 2004, IEEE Journal of Quantum Electronics.

[114]  Mario Dagenais,et al.  Optical injection induced polarization bistability in vertical‐cavity surface‐emitting lasers , 1993 .

[115]  J. P. Woerdman,et al.  PHYSICAL INSIGHT INTO THE POLARIZATION DYNAMICS OF SEMICONDUCTOR VERTICAL-CAVITY LASERS , 1998 .

[116]  U. Fiedler,et al.  Top surface-emitting vertical-cavity laser diodes for 10-Gb/s data transmission , 1996, IEEE Photonics Technology Letters.

[117]  Guy Verschaffelt,et al.  Frequency response of current-driven polarization modulation in vertical-cavity surface-emitting lasers , 2002 .

[118]  F. Prati,et al.  Competition between orthogonally polarized transverse modes in vertical-cavity surface-emitting lasers and its influence on intensity noise , 2000 .

[119]  M San Miguel,et al.  Polarization and transverse-mode dynamics of gain-guided vertical-cavity surface-emitting lasers. , 1997, Optics letters.