alors d'après (B-19) on a ,
B-21), (B-23) et (B-24), on obtient que ,
Lorsque l'on suppose que le réseau de phase possède exactement N ordres non nuls (N>1 et N fini), on montre que le réseau de phase ne peut avoir qu'un seul ordre non-nul. Pour conclure ce raisonnement par l'absurde, un réseau de phase ne peut pas avoir un ensemble de N ordres non nuls (N > 1 et N fini) Autrement dit, il n'existe que deux cas de figure possibles pour un réseau de phase : soit il n'a qu'un seul ordre non-nul soit une infinité ,
Optical parametric amplification of a distributed-feedback quantum-cascade laser in orientation-patterned GaAs, Optics Letters, vol.35, issue.4, pp.505-507, 2010. ,
DOI : 10.1364/OL.35.000505
Coherent combining of two quantum-cascade lasers in a Michelson cavity, Optics Letters, vol.35, issue.11, pp.1917-1919, 2010. ,
DOI : 10.1364/OL.35.001917
Design and optimization of a high-efficiency array generator in the mid-IR with binary subwavelength grooves, Applied Optics, vol.50, issue.5, pp.701-709, 2011. ,
DOI : 10.1364/AO.50.000701
Passive coherent beam combining of quantum-cascade lasers with a Dammann grating, Opt. Lett, vol.36, pp.3810-3812, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00625622
Coherent combining of quantum-cascade lasers with a binary phase grating, Présentation orale publiée dans Proc. SPIE, p.81870, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00673150
Passive coherent beam combining of quantum-cascade lasers with a Dammann grating, SPIE Photonics West, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00625622
Optical parametric amplification of a distributed-feedback quantum-cascade laser in orientation-patterned AsGa, 2009. ,
Optical Parametric Amplification of a Distributed Feedback Quantum Cascade Laser in Orientation- Patterned AsGa, Conference on Lasers et Electro-Optics, OSA Technical Digest (CD), p.1, 2010. ,
Coherent combining of two quantum-cascade lasers in a Michelson cavity, CLEO:2011 -Laser Applications to Photonic Applications, OSA Technical Digest (CD) paper CTuC1, 2011. ,
Passive coherent combining of diode lasers in external cavity configurations, High- Power Diode Lasers et Systems ,
URL : https://hal.archives-ouvertes.fr/hal-00673142
Enhancement of the efficiency and specific output energy of an electric-discharge CO laser by intensification of heat exchange with the walls, Soviet Journal of Quantum Electronics, vol.17, issue.11, p.1385, 1987. ,
DOI : 10.1070/QE1987v017n11ABEH010858
Solid-State Mid-Infrared Laser Sources, 2003. ,
2.3-2.7-μm room temperature CW operation of InGaAsSb-AlGaAsSb broad waveguide SCH-QW diode lasers, IEEE Photonics Technology Letters, vol.11, issue.7, p.794, 1999. ,
DOI : 10.1109/68.769710
Auger coefficients in type-II InAs/Ga1???xInxSb quantum wells, Applied Physics Letters, vol.73, issue.20, p.2857, 1998. ,
DOI : 10.1063/1.122609
Low threshold PbEuSeTe/PbTe separate confinement buried heterostructure diode lasers, Applied Physics Letters, vol.68, issue.6 ,
DOI : 10.1063/1.116726
High-pulse-energy actively Q-switched Tm3+-doped silica 2 ?m fiber laser pumped at 792 nm, Opt.Lett, vol.19, issue.32, p.2780, 2007. ,
Application and Development of High-Power and Highly Efficient Silica-Based Fiber Lasers Operating at 2 <formula formulatype="inline"><tex>$\mu$</tex></formula>m, IEEE Journal of Selected Topics in Quantum Electronics, vol.13, issue.3, p.567, 2007. ,
DOI : 10.1109/JSTQE.2007.896087
Power scaling of Cr2+:ZnSe lasers, OSA Trends Opt. Photonics, Adv. Solid State Lasers, p.506, 2001. ,
Tunable diode-pumped continuous-wave operation and passive mode-locking of Cr 2+: ZnSe laser, 2001. ,
3.77-5.05-μm tunable solid-state lasers based on Fe/sup 2+/-doped ZnSe crystals operating at low and room temperatures, IEEE Journal of Quantum Electronics, vol.42, issue.9, p.907, 2006. ,
DOI : 10.1109/JQE.2006.880119
URL : https://hal.archives-ouvertes.fr/in2p3-00663809
:ZnSe laser, Quantum Electronics, vol.38, issue.12, p.1113, 2008. ,
DOI : 10.1070/QE2008v038n12ABEH013837
Chalcogenide Glass-Fiber-Based Mid-IR Sources and Applications, IEEE Journal of Selected Topics in Quantum Electronics, vol.15, issue.1, p.114, 2009. ,
DOI : 10.1109/JSTQE.2008.2010245
:YAG laser, Technologies for Optical Countermeasures VIII, 2011. ,
DOI : 10.1117/12.898118
All-epitaxial fabrication of thick, orientation-patterned GaAs films for nonlinear optical frequency conversion, Applied Physics Letters, vol.79, issue.7, p.904, 2001. ,
DOI : 10.1063/1.1389326
10W Mid-IR Holmium Pumped ZnGeP2 OPO, Advanced Solid State Lasers, p.90, 1998. ,
High Power Conversion to Mid-IR Using KTP and ZGP OPOs, Advanced Solid State Lasers, p.514, 1999. ,
DOI : 10.1364/ASSL.1999.WC1
Quantum Cascade Laser, Science, vol.264, issue.5158, p.553, 1994. ,
DOI : 10.1126/science.264.5158.553
URL : https://hal.archives-ouvertes.fr/hal-00156810
High power Sb-free quantum cascade laser emitting at 3.3?????m above 350 K, Applied Physics Letters, vol.98, issue.19, p.191104, 2011. ,
DOI : 10.1063/1.3589355
Terahertz Emission from Quantum Cascade Lasers in the Quantum Hall Regime: Evidence for Many Body Resonances and Localization Effects, Physical Review Letters, vol.93, issue.23, p.237403, 2004. ,
DOI : 10.1103/PhysRevLett.93.237403
Low threshold room temperature operation of injector less quantum cascade lasers: influence of doping density, Elect. Lett, issue.42, p.1228, 2006. ,
Amélioration des performances des Lasers à Cascade Quantique ,
Room temperature quantum cascade lasers with 27% wall plug efficiency, Applied Physics Letters, vol.98, issue.18, p.181102, 2011. ,
DOI : 10.1063/1.3586773
Evaluation of Thermal Crosstalk in Quantum Cascade Laser Arrays, IEEE Photonics Technology Letters, vol.19, issue.6, p.1041, 2007. ,
DOI : 10.1109/LPT.2007.891888
Quantum cascade laser master-oscillator power-amplifier with 15 W output power at 300 K, Optics Express, vol.19, issue.17, p.16229, 2011. ,
DOI : 10.1364/OE.19.016229
Laser beam combining for high-power, high-radiance sources, IEEE Journal of Selected Topics in Quantum Electronics, vol.11, issue.3, p.567, 2005. ,
DOI : 10.1109/JSTQE.2005.850241
Infrared semiconductor lasers for DIRCM applications, Technologies for Optical Countermeasures V, p.71150, 2008. ,
DOI : 10.1117/12.800126
Efficient power scaling of laser radiation by spectral beam combining, Opt. Lett, vol.4, issue.33, p.384, 2008. ,
Spectral beam combining of a 980 nm tapered diode laser bar, Optics Express, vol.18, issue.2, p.893, 2010. ,
DOI : 10.1364/OE.18.000893
Beam combining of ytterbium fiber amplifiers (Invited), Journal of the Optical Society of America B, vol.24, issue.8, p.1707, 2007. ,
DOI : 10.1364/JOSAB.24.001707
Power scaling of quantum cascade lasers via multiemitter beam combining, Optical Engineering, vol.49, issue.11, p.111111, 2010. ,
DOI : 10.1117/1.3498766
Beam combining of quantum cascade laser arrays, Optics Express, vol.17, issue.18, p.16216, 2009. ,
DOI : 10.1364/OE.17.016216
Single longitudinal mode operation of high power multiple???stripe injection lasers, Applied Physics Letters, vol.42, issue.2, p.152, 1983. ,
DOI : 10.1063/1.93856
Diode laser arrays, 1994. ,
DOI : 10.1017/CBO9780511524127
Phase-locked arrays of antiguides: model content and discrimination, IEEE Journal of Quantum Electronics, vol.26, issue.3, p.482, 1990. ,
DOI : 10.1109/3.52124
Watt???range, coherent, uniphase powers from phase???locked arrays of antiguided diode lasers, Applied Physics Letters, vol.58, issue.19 ,
DOI : 10.1063/1.105013
Facts relating to optical Science, Philosophical Magazine, vol.9, issue.56, pp.401-1836 ,
DOI : 10.1080/14786443408648329
Very compact external cavity diffraction-coupled tapered laser diodes, Applied Optics, vol.47, issue.6, p.746, 2008. ,
DOI : 10.1364/AO.47.000746
Coherent beam superposition of ten diode lasers with a Dammann grating, Optics Letters, vol.35, issue.10, p.1515, 2010. ,
DOI : 10.1364/OL.35.001515
URL : https://hal.archives-ouvertes.fr/hal-00533598
High-power two-dimensional waveguide CO/sub 2/ laser arrays, IEEE Journal of Quantum Electronics, vol.32, issue.2, p.340, 1996. ,
DOI : 10.1109/3.481882
Coherent addition of fiber lasers by use of a fiber coupler, Optics Express, vol.10, issue.21, p.1167, 2002. ,
DOI : 10.1364/OE.10.001167
Efficient coherent addition of fiber lasers in free space, Optics Letters, vol.32, issue.7, p.790, 2007. ,
DOI : 10.1364/OL.32.000790
Efficient improvement of laser beam quality by coherent combining in an improved Michelson cavity, Optics Letters, vol.30, issue.12, p.1485, 2005. ,
DOI : 10.1364/OL.30.001485
Coherent combining of two Nd:YAG lasers in a Vernier-Michelson-type cavity, Appl. Phys. B, vol.75, p.503, 2002. ,
975-nm Single-Mode Laser Source: External Coherent Combining of Two Pigtailed Laser Diodes, IEEE Journal of Selected Topics in Quantum Electronics, vol.10, issue.5, p.1033, 2004. ,
DOI : 10.1109/JSTQE.2004.835315
URL : https://hal.archives-ouvertes.fr/hal-01322057
Intracavity coherent addition of 16 laser distributions, Optics Letters, vol.31, issue.3, p.350, 2006. ,
DOI : 10.1364/OL.31.000350
Efficient coherent combining of widely tunable fiber lasers, Optics Express, vol.11, issue.2, p.87, 2003. ,
DOI : 10.1364/OE.11.000087
URL : https://hal.archives-ouvertes.fr/hal-01278005
Coherent beam addition of GaAlAs lasers by binary phase gratings, Applied Physics Letters, vol.48, issue.14, p.888, 1986. ,
DOI : 10.1063/1.96648
Coherent laser addition using binary phase gratings, Applied Optics, vol.26, issue.20, p.4391, 1987. ,
DOI : 10.1364/AO.26.004391
High-efficiency in-line multiple imaging by means of multiple phase holograms, Optics Communications, vol.3, issue.5, p.312, 1971. ,
DOI : 10.1016/0030-4018(71)90095-2
Coherent Optical Generation and Inspection of Two-dimensional Periodic Structures, Optica Acta: International Journal of Optics, vol.57, issue.4, p.505, 1977. ,
DOI : 10.1016/0030-4018(75)90097-8
<title>Fiber laser coherent array for power scaling of single-mode fiber laser</title>, Proc. SPIE, p.482, 2004. ,
DOI : 10.1117/12.596366
Limits of coherent addition of lasers: simple estimate, 2005 Pacific Rim Conference on Lasers & Electro-Optics, p.445, 2005. ,
DOI : 10.1109/CLEOPR.2005.1569654
Tree array lasers, Electronics Letters, vol.25, issue.12, p.779, 1989. ,
DOI : 10.1049/el:19890526
Coherence in Y-coupled quantum cascade lasers, Applied Physics Letters, vol.91, issue.16, 2007. ,
DOI : 10.1063/1.2800293
Tree array quantum cascade laser, Optics Express, vol.17, issue.2, p.649, 2009. ,
DOI : 10.1364/OE.17.000649
Collective coherent phase combining of 64 fibers, Optics Express, vol.19, issue.18, p.17053, 2011. ,
DOI : 10.1364/OE.19.017053.m001
Active coherent beam combining of diode lasers, Optics Letters, vol.36, issue.6, p.999, 2011. ,
DOI : 10.1364/OL.36.000999
Coherent Beam Combining of a Large Number of PM Fibers in a 2D Fiber array, CLEO/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies, 2006. ,
Coherent beam combining and phase noise measurements of ytterbium fiber amplifiers, Optics Letters, vol.29, issue.5, p.474, 2004. ,
DOI : 10.1364/OL.29.000474
Self-synchronous locking of optical coherence by single-detector electrnonicfrequency tagging, 2006. ,
Recombinaison cohérente de fibres laser, Thèse de doctorat, 2006. ,
Coherent fiber combining by digital holography, Optics Letters, vol.33, issue.24, p.2937, 2008. ,
DOI : 10.1364/OL.33.002937
URL : https://hal.archives-ouvertes.fr/hal-00534541
Coherent quantum cascade laser micro-stripe arrays, AIP Advances, vol.1, issue.3, p.32165, 2011. ,
DOI : 10.1063/1.3643690
Laser modes and threshold conditions in N-mirror resonators, Journal of the Optical Society of America B, vol.13, issue.5, p.926, 1996. ,
DOI : 10.1364/JOSAB.13.000926
Numerical research on self-organized coherent fiber laser arrays with circulating field theory, Journal of the Optical Society of America B, vol.25, issue.7, p.1187, 2008. ,
DOI : 10.1364/JOSAB.25.001187
The Effect of Amplitude (Power) Variations on Beam Combining Efficiency for Phased Arrays, IEEE Journal of Selected Topics in Quantum Electronics, vol.15, issue.2, p.291, 2009. ,
DOI : 10.1109/JSTQE.2008.2010232
Passive Phasing in a Coherent Laser Array, IEEE Journal of Selected Topics in Quantum Electronics, vol.15, issue.2, p.294, 2009. ,
DOI : 10.1109/JSTQE.2008.2011494
Direct measurement of the linewidth enhancement factor by optical heterodyning of an amplitude-modulated quantum cascade laser, Applied Physics Letters, vol.89, issue.9, p.91121, 2006. ,
DOI : 10.1063/1.2345035
Numerical study of Dammann array illuminators, Applied Optics, vol.34, issue.26, p.5961, 1995. ,
DOI : 10.1364/AO.34.005961
Design and rigorous analysis of high-efficiency array generators, Applied Optics, vol.32, issue.14, p.2599, 1993. ,
DOI : 10.1364/AO.32.002599
Optimized kinoform structures for highly efficient fan-out elements, Applied Optics, vol.31, issue.26, p.5706, 1992. ,
DOI : 10.1364/AO.31.005706
High-efficiency continuous surface-relief gratings for two-dimensional array generation, Optics Letters, vol.17, issue.13, p.908, 1992. ,
DOI : 10.1364/OL.17.000908
Homogenization Techniques as Applied in the Electromagnetic Theory of Gratings, Electromagnetics, vol.2, issue.11, p.17, 1985. ,
DOI : 10.1080/02726348508908135
On the effective medium theory of subwavelength periodic structures, Journal of Modern Optics, vol.29, issue.10, p.2063, 1996. ,
DOI : 10.1364/JOSAA.12.001087
Binary gratings with increased efficiency, Applied Optics, vol.31, issue.22, p.4453, 1992. ,
DOI : 10.1364/AO.31.004453
Artificial distributed-index media fabricated by zero-order gratings, Optics Letters, vol.16, issue.24, p.1921, 1991. ,
DOI : 10.1364/OL.16.001921
Diffraction grating with rectangular grooves exceeding 80% diffraction efficiency, Infrared Physics, vol.34, issue.5, p.467, 1993. ,
DOI : 10.1016/0020-0891(93)90080-Q
Broadband blazing with artificial dielectrics, Optics Letters, vol.29, issue.14, p.1593, 2004. ,
DOI : 10.1364/OL.29.001593
URL : https://hal.archives-ouvertes.fr/hal-00858795
Analysis of blazed diffractive optical elements formed with artificial dielectrics, Journal of the Optical Society of America A, vol.24, issue.12, p.3819, 2007. ,
DOI : 10.1364/JOSAA.24.003819
URL : https://hal.archives-ouvertes.fr/hal-00846701
Planar high-numerical-aperture low-loss focusing reflectors and lenses using subwavelength high contrast gratings, Optics Express, vol.18, issue.12, p.12606, 2010. ,
DOI : 10.1364/OE.18.012606
Sub-wavelength structures for broadband diffractive optics, Proc. SPIE, p.602919, 2006. ,
Design, fabrication, and characterization of form-birefringent multilayer polarizing beam splitter, Journal of the Optical Society of America A, vol.14, issue.7, p.1627, 1997. ,
DOI : 10.1364/JOSAA.14.001627
Synthesis of a subwavelength-pulse-width spatially modulated array illuminator for 0,633 ?m ,
Principles of Optics, 1980. ,
DOI : 10.1017/CBO9781139644181
Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves, Journal of the Optical Society of America, vol.68, issue.9, 1978. ,
DOI : 10.1364/JOSA.68.001206
Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings, Journal of the Optical Society of America A, vol.12, issue.5 ,
DOI : 10.1364/JOSAA.12.001068
Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings, Journal of the Optical Society of America A, vol.13, issue.5, p.1024, 1996. ,
DOI : 10.1364/JOSAA.13.001024
Reticolo software for grating analysis, 1995. ,
Highly improved convergence of the coupled-wave method for TM polarization, Journal of the Optical Society of America A, vol.13, issue.4, p.779, 1996. ,
DOI : 10.1364/JOSAA.13.000779
Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization, Journal of the Optical Society of America A, vol.13, issue.5, p.1019, 1996. ,
DOI : 10.1364/JOSAA.13.001019
New formulation of the Fourier modal method for crossed surface-relief gratings, Journal of the Optical Society of America A, vol.14, issue.10, p.2758, 1997. ,
DOI : 10.1364/JOSAA.14.002758
NLPQL: A fortran subroutine solving constrained nonlinear programming problems, Annals of Operations Research, vol.14, issue.1-4, p.485, 1985. ,
DOI : 10.1007/BF02739235
Optimization by Simulated Annealing, Science, vol.220, issue.4598, p.671, 1983. ,
DOI : 10.1126/science.220.4598.671
Artificial Media: Subwavelength Scale Optical Properties, 2003. ,
DOI : 10.1364/OL.25.001297
Depth dependence of the effective properties of subwavelength gratings, Journal of the Optical Society of America A, vol.14, issue.2, p.450, 1997. ,
DOI : 10.1364/JOSAA.14.000450
URL : https://hal.archives-ouvertes.fr/hal-00877683
Design and optimization of broadband wide-angle antireflection structures for binary diffractive optics, Optics Letters, vol.35, issue.7, p.907, 2010. ,
DOI : 10.1364/OL.35.000907.m002
Continuous Wave Operation of a Mid-Infrared Semiconductor Laser at Room Temperature, Science, vol.295, issue.5553, p.301, 2002. ,
DOI : 10.1126/science.1066408
Principales caractéristiques des lasers semiconducteurs à cavité étendue. Application à l'amélioration des propriétés spectrales des diodes laser, Thèse de doctorat, 1988. ,
Handbook of Optical Constants of Solids, 1985. ,
Beam steering in high-power CW quantum-cascade lasers, IEEE Journal of Quantum Electronics, vol.41, issue.6, p.833, 2005. ,
DOI : 10.1109/JQE.2005.846691
Spectrally narrow pulsed dye laser without beam expander, Applied Optics, vol.17, issue.14, p.2224, 1978. ,
DOI : 10.1364/AO.17.002224