L. , M. &. Koch, and S. W. , Effective Bloch equations for semiconductors, Physical Review B, vol.38, p.3342, 1988.

L. , M. Hu, Y. Z. Binder, R. Koch, and S. W. , ? (3) formalism in optically excited semiconductors and its applications in four-wave-mixing spectroscopy, Physical Review B, vol.50, p.18060, 1994.

T. , F. Yamamoto, and Y. , Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons, Physical Review B, vol.59, p.10830, 1999.

R. , G. Ciuti, C. Savona, V. Piermarocchi, C. Quattropani et al., Excitonic Bloch equations for a two-dimensional system of interacting excitons, Physical Review B, vol.61, p.13856, 2000.

H. , H. Koch, and S. W. , Quantum theory of the optical and electronic properties of semiconductors, 2004.

C. , M. Betbeder-matibet, and O. , The effective bosonic Hamiltonian for excitons reconsidered, Europhysics Letters (EPL), vol.58, pp.87-92, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00002594

G. , M. M. Ouerdane, H. Pilozzi, L. Malpuech, G. Kavokin et al., Polariton-polariton scattering in microcavities : A microscopic theory, Physical Review B, vol.80, p.155306, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00426887

C. , C. Schwendimann, P. Quattropani, and A. , Theory of polariton parametric interactions in semiconductor microcavities, Semiconductor Science and Technology, vol.18, pp.279-293, 2003.

K. , J. P. Baas, A. Giacobino, and E. , Twin polaritons in semiconductor microcavities, Physical Review A, vol.69, p.63807, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00000407

C. , D. Miller, D. Smith, P. Gossard, A. Wiegmann et al., Room temperature excitonic nonlinear absorption and refraction in GaAs/AlGaAs multiple quantum well structures, IEEE Journal of Quantum Electronics, vol.20, pp.265-275, 1984.

P. , N. Gibbs, H. M. Jewell, J. L. Antonetti, A. Migus et al., Blue Shift of the Exciton Resonance due to Exciton- Exciton Interactions in a Multiple-Quantum-Well Structure, Physical Review Letters, vol.53, p.2433, 1984.

S. Schmitt-rink, D. S. Chemla, and D. A. Miller, Theory of transient excitonic optical nonlinearities in semiconductor quantum-well structures, Physical Review B, vol.32, issue.10, p.6601, 1985.
DOI : 10.1103/PhysRevB.32.6601

M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics : Electromagnetic Theory of Propagation, Interference and Diffraction of Light (CUP Archive, 2000.
DOI : 10.1017/CBO9781139644181

H. , G. R. Haacke, S. Kauer, M. Stanley, R. P. Houdré et al., Resonant Rayleigh scattering versus incoherent luminescence in semiconductor microcavities, Physical Review B, vol.58, p.10175, 1998.

S. , A. V. Bloch, J. Birkedal, D. Shah, and J. , Theory of Resonant Rayleigh Scattering from Semiconductor Microcavities : Signatures of Disorder, Physical Review Letters, vol.84, p.3478, 2000.

H. , R. Gibernon, J. L. Pellandini, P. Stanley, R. P. Oesterle et al., Saturation of the strong-coupling regime in a semiconductor microcavity : Free-carrier bleaching of cavity polaritons, Physical Review B, vol.52, p.7810, 1995.

T. , A. Chen, Y. Pellegrini, V. Börger, M. &. Bassani et al., Optical bistability of semiconductor microcavities in the strong-coupling regime, Physical Review A, vol.54, p.3493, 1996.

B. , R. Delalleau, G. Tartakovskii, A. I. Skolnick, M. S. Astratov et al., Transition from strong to weak coupling and the onset of lasing in semiconductor microcavities, Physical Review B, vol.65, p.205310, 2002.

G. , M. , C. , L. , K. Gibbs et al., Bistable optical response in quantum well semiconductor microcavity, Semiconductor Science and Technology, vol.19, pp.345-347, 2004.

T. , D. Lecomte, T. Diederichs, C. Roussignol, P. Delalande et al., Interbranch parametric oscillation in the weak coupling regime for semiconductor vertical multimicrocavities, Physical Review B, vol.80, p.81308, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00516083

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-ismail et al., Continuous Wave Observation of Massive Polariton Redistribution by Stimulated Scattering in Semiconductor Microcavities, Physical Review Letters, vol.85, issue.17, p.3680, 2000.
DOI : 10.1103/PhysRevLett.85.3680

C. , C. Schwendimann, P. Deveaud, B. Quattropani, and A. , Theory of the angle-resonant polariton amplifier, Physical Review B, vol.62, p.4825, 2000.

D. , G. Schwab, M. Bayer, M. Krizhanovskii, D. Forchel et al., Tailoring the polariton dispersion by optical confinement : Access to a manifold of elastic polariton pair scattering channels, Physical Review B, vol.66, p.201201, 2002.

D. , G. Diederichs, C. Tignon, J. Ciuti, C. Roussignol et al., Polarization inversion via parametric scattering in quasi-one-dimensional microcavities, Physical Review B, vol.71, p.161308, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00010051

F. , L. Pigeon, S. Wertz, E. Bamba, M. Senellart et al., Polariton parametric oscillation in a single micropillar cavity, Applied Physics Letters, vol.97, p.31105, 2010.

D. , C. Tignon, and J. , Design for a triply resonant vertical-emitting microoptical parametric oscillator, Applied Physics Letters, vol.87, pp.251107-251110, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00096382

D. , C. Tignon, J. Dasbach, G. Ciuti, C. Lemaître et al., Parametric oscillation in vertical triple microcavities, Nature, vol.440, pp.904-907, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00096360

R. H. Brown and R. Q. Twiss, Interferometry of the Intensity Fluctuations in Light. I. Basic Theory: The Correlation between Photons in Coherent Beams of Radiation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.242, issue.1230, pp.300-324, 1957.
DOI : 10.1098/rspa.1957.0177

R. H. Brown and R. Q. Twiss, Interferometry of the Intensity Fluctuations in Light II. An Experimental Test of the Theory for Partially Coherent Light, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.243, issue.1234, pp.291-319, 1958.
DOI : 10.1098/rspa.1958.0001

M. , B. L. Mandel, and L. , Measurement of Photon Bunching in a Thermal Light Beam, Physical Review Letters, vol.16, p.1012, 1966.

R. Short and L. Mandel, Observation of Sub-Poissonian Photon Statistics, Physical Review Letters, vol.51, issue.5, p.384, 1983.
DOI : 10.1103/PhysRevLett.51.384

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-ismail et al., Continuous Wave Observation of Massive Polariton Redistribution by Stimulated Scattering in Semiconductor Microcavities, Physical Review Letters, vol.85, issue.17, p.3680, 2000.
DOI : 10.1103/PhysRevLett.85.3680

J. J. Baumberg, P. G. Savvidis, R. M. Stevenson, A. I. Tartakovskii, M. S. Skol-nick et al., Parametric oscillation in a vertical microcavity: A polariton condensate or micro-optical parametric oscillation, Physical Review B, vol.62, issue.24, p.16247, 2000.
DOI : 10.1103/PhysRevB.62.R16247

D. , G. Diederichs, C. Tignon, J. Ciuti, C. Roussignol et al., Polarization inversion via parametric scattering in quasi-one-dimensional microcavities, Physical Review B, vol.71, p.161308, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00010051

J. , J. L. Scherer, A. Mccall, S. L. Gossard, A. C. English et al., GaAs-AlAs monolithic microresonator arrays, Applied Physics Letters, vol.51, pp.94-96, 1987.

R. , T. Ladan, F. R. Izrael, A. Azoulay, R. Kuszelewicz et al., Reduced threshold all-optical bistability in etched quantum well microresonators, Applied Physics Letters, vol.64, pp.869-871, 1994.

T. , A. I. Kulakovskii, V. D. Forchel, A. Reithmaier, and J. P. , Excitonphoton coupling in photonic wires, Physical Review B, vol.57, p.6807, 1998.

K. , A. Bayer, M. Gutbrod, T. Forchel, A. Knipp et al., Confined optical modes in photonic wires, Physical Review B, vol.58, p.15744, 1998.

D. , G. Schwab, M. Bayer, M. Krizhanovskii, D. Forchel et al., Tailoring the polariton dispersion by optical confinement : Access to a manifold of elastic polariton pair scattering channels, Physical Review B, vol.66, p.201201, 2002.

W. , E. Ferrier, L. Solnyshkov, D. D. Johne, R. Sanvitto et al., Spontaneous formation and optical manipulation of extended polariton condensates, Nature Physics, vol.6, pp.860-864, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01229232

K. , R. I. Daïf, O. E. Baas, A. Richard, M. Paraiso et al., Engineering the spatial confinement of exciton polaritons in semiconductors, Physical Review B, vol.74, p.155311, 2006.

B. , D. Senellart, P. Wertz, E. Sagnes, I. Miard et al., Polariton Laser Using Single Micropillar GaAs-GaAlAs Semiconductor Cavities, Physical Review Letters, vol.100, p.47401, 2008.

F. , L. Pigeon, S. Wertz, E. Bamba, M. Senellart et al., Polariton parametric oscillation in a single micropillar cavity, Applied Physics Letters, vol.97, p.31105, 2010.

W. , E. Ferrier, L. Solnyshkov, D. D. Senellart, P. Bajoni et al., Spontaneous formation of a polariton condensate in a planar GaAs microcavity, Applied Physics Letters, vol.95, p.51108, 2009.

T. , F. Piermarocchi, C. Savona, V. Quattropani, A. Schwendi-mann et al., Bottleneck effects in the relaxation and photoluminescence of microcavity polaritons, Physical Review B, vol.56, p.7554, 1997.

P. , S. Björk, G. Jacobson, J. Cao, H. Yamamoto et al., Microcavity excitonpolariton splitting in the linear regime, Physical Review B, vol.51, p.14437, 1995.

K. , J. P. Baas, A. Giacobino, and E. , Twin polaritons in semiconductor microcavities, Physical Review A, vol.69, p.63807, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00000407

C. , C. Schwendimann, P. Deveaud, B. Quattropani, and A. , Theory of the angle-resonant polariton amplifier, Physical Review B, vol.62, p.4825, 2000.

C. , C. Schwendimann, P. Quattropani, and A. , Theory of polariton parametric interactions in semiconductor microcavities, Semiconductor Science and Technology, vol.18, pp.279-293, 2003.

T. , D. Lecomte, T. Diederichs, C. Roussignol, P. Delalande et al., Interbranch parametric oscillation in the weak coupling regime for semiconductor vertical multimicrocavities, Physical Review B, vol.80, p.81308, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00516083

B. , A. Karr, J. P. Eleuch, H. Giacobino, and E. , Optical bistability in semiconductor microcavities, Physical Review A, vol.69, p.23809, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00012338

F. , C. Giacobino, E. Heidmann, A. Reynaud, and S. , Noise characteristics of a non-degenerate Optical Parametric Oscillator -Application to quantum noise reduction, Journal de Physique, vol.50, pp.1209-1225, 1989.
URL : https://hal.archives-ouvertes.fr/jpa-00210990

D. , C. Taj, D. Lecomte, T. Ciuti, C. Roussignol et al., Parametric generation of twin photons in vertical triple microcavities, Comptes Rendus Physique, vol.8, pp.1198-1204, 2007.

D. , C. Tignon, J. Dasbach, G. Ciuti, C. Lemaître et al., Parametric oscillation in vertical triple microcavities, Nature, vol.440, pp.904-907, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00096360

H. , G. R. Haacke, S. Kauer, M. Stanley, R. P. Houdré et al., Resonant Rayleigh scattering versus incoherent luminescence in semiconductor microcavities, Physical Review B, vol.58, p.10175, 1998.

S. , A. V. Bloch, J. Birkedal, D. Shah, and J. , Theory of Resonant Rayleigh Scattering from Semiconductor Microcavities : Signatures of Disorder, Physical Review Letters, vol.84, p.3478, 2000.

H. , H. Möller, M. O. Hommel, D. Landwehr, and G. , Relaxation and mosaicity profiles in epitaxial layers studied by high resolution X-ray diffraction, Journal of Crystal Growth, vol.135, pp.41-52, 1994.

O. , H. C. Zhu, A. X. Du, and G. , Dependence of the excitonic transition energies and mosaicity on residual strain in ZnO thin films, Applied Physics Letters, vol.80, pp.941-943, 2002.

N. P. Barnes and J. C. Barnes, Injection seeding. I. Theory, IEEE Journal of Quantum Electronics, vol.29, issue.10, pp.2670-2683, 1993.
DOI : 10.1109/3.250390

J. Barnes, N. Barnes, L. Wang, and W. Edwards, Injection seeding. II. Ti:Al/sub 2/O/sub 3/ experiments, IEEE Journal of Quantum Electronics, vol.29, issue.10, pp.2684-2692, 1993.
DOI : 10.1109/3.250391

K. , S. Iga, and K. , Circular buried heterostructure (CBH) GaAlAs/GaAs surface emitting lasers, IEEE Journal of Quantum Electronics, vol.23, pp.882-888, 1987.

G. , P. L. Drummond, and T. J. , Visible, room-temperature, surface-emitting laser using an epitaxial Fabry?Perot resonator with AlGaAs/AlAs quarter-wave high reflectors and AlGaAs/GaAs multiple quantum wells, Applied Physics Letters, vol.50, p.1225, 1987.

K. , F. Kinoshita, S. Iga, and K. , Room-temperature continuous wave lasing characteristics of a GaAs vertical cavity surface-emitting laser, Applied Physics Letters, vol.55, p.221, 1989.

K. , R. Oudar, J. L. Michel, J. C. Azoulay, and R. , Monolithic GaAs/AlAs optical bistable étalons with improved switching characteristics, Applied Physics Letters, vol.53, pp.2138-2140, 1988.

S. , B. G. Oudar, J. L. Michel, J. C. Kuszelewicz, R. Azoulay et al., High contrast multiple quantum well optical bistable device with integrated Bragg reflectors, Applied Physics Letters, vol.57, pp.324-326, 1990.

R. , T. Ladan, F. R. Izrael, A. Azoulay, R. Kuszelewicz et al., Reduced threshold all-optical bistability in etched quantum well microresonators, Applied Physics Letters, vol.64, pp.869-871, 1994.

S. , S. Matos, C. D. Pugnet, and M. , Instantaneous optical modulation in bulk GaAs semiconductor microcavities, Applied Physics Letters, vol.78, pp.3779-3781, 2001.

S. , R. J. Yan, R. H. Geels, R. Coldren, L. A. English et al., Fabry-Perot multiple-quantum well index modulator, Applied Optics, vol.27, pp.2103-2104, 1988.

C. , D. Miller, D. Smith, P. Gossard, A. Wiegmann et al., Room temperature excitonic nonlinear absorption and refraction in GaAs/AlGaAs multiple quantum well structures, IEEE Journal of Quantum Electronics, vol.20, pp.265-275, 1984.

G. , S. Reinhart, F. K. Gourgon, C. Herres, N. Vonlanthen et al., The refractive index of Al x Ga 1?x As below the band gap : Accurate determination and empirical modeling, Journal of Applied Physics, vol.87, p.7825, 2000.

C. , D. S. Miller, and D. A. , Room-temperature excitonic nonlinear-optical effects in semiconductor quantum-well structures, Journal of the Optical Society of America B, vol.2, pp.1155-1173, 1985.

Y. Varshni, Temperature dependence of the energy gap in semiconductors, Physica, vol.34, issue.1, pp.149-154, 1967.
DOI : 10.1016/0031-8914(67)90062-6

R. , S. Reinecke, T. L. Segall, and B. , Temperature-dependent exciton linewidths in semiconductors, Physical Review B, vol.42, p.11218, 1990.

M. , J. Vinattieri, A. Carraresi, L. Colocci, M. Roussi-gnol et al., Temperature dependence of exciton lifetimes in GaAs/Al x Ga 1?x As single quantum wells, Physical Review B, vol.47, p.10456, 1993.

S. Schmitt-rink, D. S. Chemla, and D. A. Miller, Theory of transient excitonic optical nonlinearities in semiconductor quantum-well structures, Physical Review B, vol.32, issue.10, p.6601, 1985.
DOI : 10.1103/PhysRevB.32.6601

A. , R. L. Lind, and R. C. , Degenerate four-wave mixing in absorbing media, Optics Letters, vol.2, pp.94-96, 1978.

B. , G. D. Kleinman, and D. A. , Parametric Interaction of Focused Gaussian Light Beams, Journal of Applied Physics, vol.39, pp.3597-3639, 1968.

A. , N. Natali, F. Byrne, D. Vasson, A. Disseix et al., Observation of Rabi splitting in a bulk GaN microcavity grown on silicon, Physical Review B, vol.68, p.153313, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00272519

L. , K. G. Wouters, M. Richard, M. Baas, A. Carusotto et al., Quantized vortices in an exciton-polariton condensate, Nat Phys, vol.4, pp.706-710, 2008.

A. , A. Lefrère, J. Pigeon, S. Adrados, C. Ciuti et al., Superfluidity of polaritons in semiconductor microcavities, Nature Physics, vol.5, pp.805-810, 2009.

S. , I. A. Kavokin, A. V. Rubo, Y. G. Liew, and T. C. Malpuech, G Polariton polarization-sensitive phenomena in planar semiconductor microcavities, Semiconductor Science and Technology, vol.25, p.13001, 2010.

D. , G. Baars, T. Bayer, M. Larionov, A. Forchel et al., Coherent and incoherent polaritonic gain in a planar semiconductor microcavity, Physical Review B, vol.62, p.13076, 2000.

L. , P. G. Savvidis, P. G. Baumberg, J. J. Whittaker, D. M. Eas-tham et al., Stimulated spin dynamics of polaritons in semiconductor microcavities, Physical Review B, vol.65, p.161310, 2002.

R. , P. Amand, T. Marie, X. Senellart, P. Bloch et al., Microcavity polariton spin quantum beats without a magnetic field : A manifestation of Coulomb exchange in dense and polarized polariton systems, Physical Review B, vol.72, p.75317, 2005.

S. , D. D. Shelykh, I. A. Glazov, M. M. Malpuech, G. Amand et al., Nonlinear effects in spin relaxation of cavity polaritons, Semiconductors, vol.41, pp.1080-1091, 2007.

K. , J. André, R. Dang, L. S. Shelykh, I. A. Kavokin et al., Build up and pinning of linear polarization in the Bose condensates of exciton polaritons, Physical Review B, vol.75, p.45326, 2007.

V. , Z. Snoke, D. W. Pfeiffer, L. West, and K. , Direct Measurement of Exciton- Exciton Interaction Energy, Physical Review Letters, vol.103, p.16403, 2009.

B. , A. I. Miglei, M. F. Shmiglyuk, and M. I. , On the Bi-Exciton Formation in Crystals, Physica Status Solidi, vol.53, pp.71-84, 1972.

C. , C. Savona, V. Piermarocchi, C. Quattropani, A. Schwendimann et al., Role of the exchange of carriers in elastic exciton-exciton scattering in quantum wells, Physical Review B, vol.58, p.7926, 1998.

C. , M. Betbeder-matibet, O. Combescot, and R. , Bose-Einstein Condensation in Semiconductors : The Key Role of Dark Excitons, Physical Review Letters, vol.99, p.176403, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01284381

S. , S. Kwong, N. H. Binder, and R. , Influence of exciton-exciton correlations on the polarization characteristics of polariton amplification in semiconductor microcavities, Physical Review B, vol.76, p.245324, 2007.

G. , M. M. Ouerdane, H. Pilozzi, L. Malpuech, G. Kavokin et al., Polariton-polariton scattering in microcavities : A microscopic theory, Physical Review B, vol.80, p.155306, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00426887

V. , M. Cronenberger, S. Scalbert, D. Kavokin, K. V. Miard et al., Polariton-polariton interaction constants in microcavities, Physical Review B, vol.82, p.75301, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00559238

Y. Shen, The Principles of Nonlinear Optics, 2002.

K. , K. Renucci, P. Amand, T. Marie, X. Senellart et al., Linear polarisation inversion : A signature of Coulomb scattering of cavity polaritons with opposite spins, physica status solidi, vol.2, pp.763-767, 2005.

D. , C. Tignon, J. Dasbach, G. Ciuti, C. Lemaître et al., Parametric oscillation in vertical triple microcavities, Nature, vol.440, pp.904-907, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00096360