. Effet and .. Dans-le-cas-du, 61 3.2.1 Convolution pour une petite ouverture angulaire du faisceau laser 61 3.2.2 Facteur de forme statique, p.63

E. Influence-de-la-température-ionique-sur-le-mode-de-dérivedérivé-electronique, 89 4.3.2 Erreur résultant de l'approximation ions froids, p.92

.. Mode-double-faisceau-dans-la-direction-axiale, 111 5.3.1 Estimations des moments de la fonction de distribution des ions doublement chargés, p.111

.. Evolution-de-la-distributionélectroniquedistributionélectronique, 136 A.1.1 Linéarisation de l'´ equation de, 136 A.1.2 Trajectoires desélectronsdesélectrons en champ magnétique etélectriqueetélectrique uniformes et stationnaires, p.137

.. Evolution-de-la-distribution-ionique, 144 A.2.1 Fonction ionique d'ordre, p.145

J. C. Adam, J. P. Boeuf, N. Dubuit, M. Dudeck, L. Garrigues et al., Physics, simulation and diagnostics of Hall effect thrusters, Plasma Physics and Controlled Fusion, vol.50, issue.12, p.124041, 2008.
DOI : 10.1088/0741-3335/50/12/124041

J. C. Adam, A. Héron, and G. Laval, Study of stationary plasma thrusters using two-dimensional fully kinetic simulations, Physics of Plasmas, vol.21, issue.1, p.295, 2004.
DOI : 10.1063/1.862512

J. C. Adam, J. P. Boeuf, N. Dubuit, M. Dudeck, L. Garrigues et al., Physics, simulation and diagnostics of Hall effect thrusters, Plasma Physics and Controlled Fusion, vol.50, issue.12, p.124041, 2008.
DOI : 10.1088/0741-3335/50/12/124041

L. V. Alfors, Complex analysis, 1979.

J. Bareilles, Modélisation 2D hybride d'un propulseuràpropulseurà effet Hall pour satellites, 2002.

J. Bareilles, G. J. Hagelaar, L. Garrigues, C. Boniface, J. P. Boeuf et al., Critical assessment of a two-dimensional hybrid Hall thruster model: Comparisons with experiments, Physics of Plasmas, vol.11, issue.6, p.3035
DOI : 10.1063/1.1632904

J. A. Bittencourt, Fundamentals of plasma physics, 2004.
DOI : 10.1007/978-1-4757-4030-1

J. P. Boeuf and A. Bouchoule, Les propulseursàpropulseurs`propulseursà plasma pour satellite, 2003.

G. Bourgeois, Influence de la topologie magnétique, de la cathode et de la section du canal sur l'accélération des ions dans un propulseuràpropulseurà effet Hall, 2012.

G. Bourgeois, S. Mazouffre, and N. Sadeghi, Unexpected transverse velocity component of Xe+ ions near the exit plane of a Hall thruster, Physics of Plasmas, vol.17, issue.11, p.17113502, 2010.
DOI : 10.2514/2.5912

URL : https://hal.archives-ouvertes.fr/hal-01005972

T. J. Boyd and J. J. Sanderson, The physics of plasmas, 2003.
DOI : 10.1017/CBO9780511755750

D. Coulette and N. Besse, Multi-water-bag models of ion temperature gradient instability in cylindrical geometry, Physics of Plasmas, vol.20, issue.5, p.52107, 2013.
DOI : 10.1088/0741-3335/47/5/R01

URL : https://hal.archives-ouvertes.fr/hal-00925100

D. Coulette and N. Besse, Numerical comparisons of gyrokinetic multi-water-bag models, Journal of Computational Physics, vol.248, pp.1-32, 2013.
DOI : 10.1016/j.jcp.2013.03.065

URL : https://hal.archives-ouvertes.fr/hal-00925099

K. Dannenmayer and S. Mazouffre, Sizing of Hall effect thrusters with input power and thrust level : An empirical approach, Journal of Technical Physics, vol.49, pp.231-254, 2008.

A. Ducrocq, Rôle des instabilitiésinstabilitiésélectroniques de dérive dans le transportélectrotransportélectronique du propulseuràpropulseurà effet Hall, 2006.

A. Ducrocq, J. C. Adam, A. Héron, and G. Laval, High-frequency electron drift instability in the cross-field configuration of Hall thrusters, Physics of Plasmas, vol.21, issue.10, p.13102111, 2006.
DOI : 10.1063/1.1647565

J. M. Fife, Hybrid-PIC modeling and electrostatic probe survey of Hall thrusters, 1998.

D. W. Forslund, R. L. Morse, and C. W. Nielson, Electron Cyclotron Drift Instability, Physical Review Letters, vol.56, issue.18, p.251266, 1970.
DOI : 10.1103/PhysRevLett.23.1087

B. D. Fried and S. D. Conte, The plasma dispersion function / the Hilbert transform of the Gaussian, 1961.

D. H. Froula, S. H. Glenzer, N. C. Luhmann, and J. Sheffield, Plasma Scattering of Electromagnetic Radiation: Theory and Measurement Techniques, Fusion Science and Technology, vol.61, issue.1, 2011.
DOI : 10.13182/FST12-A13342

P. S. Gary, Longitudinal waves in a perpendicular collisionless plasma shock: II. Vlasov ions, Journal of Plasma Physics, vol.4, issue.04, p.753, 1970.
DOI : 10.1103/PhysRevLett.25.497

P. S. Gary, Longitudinal waves in a perpendicular collisionless plasma shock: Part 3. Te ?? Ti, Journal of Plasma Physics, vol.4, issue.03, pp.561-566, 1971.
DOI : 10.1103/PhysRevLett.25.1266

P. S. Gary, Longitudinal waves in a perpendicular collisionless plasma shock Part 4. Gradient B, Journal of Plasma Physics, vol.3, issue.03, p.417, 1971.
DOI : 10.1103/PhysRevLett.26.1097

P. S. Gary and J. J. Sanderson, Longitudinal waves in a perpendicular collisionless plasma shock: I. Cold ions, Journal of Plasma Physics, vol.7, issue.04, p.739, 1970.
DOI : 10.1063/1.1692487

D. Gawron, Phénomènes de transport ionique dans le plasma d'un propulseuràpropulseurà effet Halì a forte puissance : ´ etude par spectroscopie laser, 2007.

D. Gawron, S. Mazouffre, and C. Boniface, A Fabry???P??rot spectroscopy study on ion flow features in a Hall effect thruster, Plasma Sources Science and Technology, vol.15, issue.4, p.161503, 2006.
DOI : 10.1088/0963-0252/15/4/020

D. M. Goebel and I. Katz, Fundamentals of electric propulsion : ion and Hall thrusters. California institute of technology, 2008.

D. Grésillon and F. Doveil, Normal Modes in the Ion-Beam-Plasma System, Physical Review Letters, vol.16, issue.2, pp.77-80, 1975.
DOI : 10.1063/1.1694284

G. J. Hagelaar, J. Bareilles, L. Garrigues, and J. P. Boeuf, Two-dimensional model of a stationary plasma thruster An analysis of optical mixing in plasma scattering experiments, J. Appl. Phys. Plasma Phys, vol.91, issue.209, p.5592867, 1978.

I. H. Hutchinson, Principles of Plasma Diagnostics, p.258, 1987.
DOI : 10.1017/CBO9780511613630

G. L. Johnston, Representation of dielectric function of magnetized plasma, Physics of Fluids, vol.16, issue.9, p.1540, 1973.
DOI : 10.1063/1.1694560

J. P. Boeuf and L. Garrigues, Low frequency oscillations in a stationary plasma thruster, Journal of Applied Physics, vol.18, issue.7, pp.3541-3554, 1998.
DOI : 10.1063/1.1148572

I. Katz, R. R. Hofer, and D. M. Goebel, Ion Current in Hall Thrusters, IEEE Transactions on Plasma Science, vol.36, issue.5, pp.2015-2024, 2008.
DOI : 10.1109/TPS.2008.2004219

S. W. Kim and A. D. Gallimore, Plume Study of a 1.35-kW SPT-100 Using an ExB Probe, AIAA-99-2423, 1999.
DOI : 10.2514/6.1995-2920

Y. C. Kim, J. M. Beall, and E. J. Powers, Bispectrum and nonlinear wave coupling, Physics of Fluids, vol.18, issue.2, 1980.
DOI : 10.1088/0029-5515/18/5/001

N. A. Krall and D. L. Book, Anomalous Resistivity in Collisionless Plasma Shock Waves, Physical Review Letters, vol.12, issue.11, p.574, 1969.
DOI : 10.1063/1.1692487

N. A. Krall and D. L. Book, Ion Sound Instability in a Collisionless Shock Wave, Physics of Fluids, vol.12, issue.2, pp.347-355, 1969.
DOI : 10.1063/1.1692487

N. A. Krall and P. C. Liewer, Low-Frequency Instabilities in Magnetic Pulses, Physical Review A, vol.25, issue.5, p.2094, 1971.
DOI : 10.1103/PhysRevLett.25.848

M. Krasnov, A. Kissélev, and G. Makarenko, Recueil desprobì emes sur leséquationsleséquations différentielles ordinaires, 1981.

M. Lampe, W. Manheimer, J. B. Mcbride, J. H. Orens, K. Papadopoulous et al., Theory and Simulation of the Beam Cyclotron Instability, Physics of Fluids, vol.15, issue.4, p.662, 1972.
DOI : 10.1063/1.1693961

L. Landau, On the vibration of the electronic plasma, J. Phys. (U.S.S.R.), vol.10, p.25, 1946.

L. Landau, On the vibration of the electronic plasma, JETP, vol.16, p.574, 1974.

V. Lapuerta and E. Ahedo, General parametric analysis of the linear two-stream instability, Physics of Plasmas, vol.9, issue.5, p.1513, 2002.
DOI : 10.1063/1.873212

P. Lasgorceix, C. Perot, and M. Dudeck, PIVOINE ground test facility for ion thruster testing, Second European Spacecraft Propulsion Conference, pp.27-29, 1997.

C. N. Lashmore-davies, A possible mechanism for instability in a perpendicular collisionless shock wave, Journal of Physics A: General Physics, vol.3, issue.5, p.40, 1970.
DOI : 10.1088/0305-4470/3/5/018

N. Lemoine, Transport turbulent d'un plasmà a travers un champ magnétique : observation par diffusion collective de lalumì ere, 2005.

J. E. Lerner, Plasma propulsion in space. The Industrial Physicist, pp.16-19, 2000.

F. Marchandise, N. Cornu, F. Darnon, and D. Estubier, PPS 1350-G qualification status 10500h, International Electric Propulsion Conference, 2007.

C. Marolli, V. Petrillo, and E. Ganoutas, An Asymptotic Form of the Gordeyev Function for Initial-Value Problems, Europhysics Letters (EPL), vol.5, issue.3, pp.229-233, 1988.
DOI : 10.1209/0295-5075/5/3/008

S. Mazouffre, P. Echegut, and M. Dudeck, A calibrated infrared imaging study on the steady state thermal behaviour of Hall effect thrusters, Plasma Sources Science and Technology, vol.16, issue.1, pp.13-22, 2007.
DOI : 10.1088/0963-0252/16/1/003

A. I. Morozov, Conditions for efficient current transport by near-wall conduction, Sov. Phys. Tech. Phys, vol.32, issue.8, pp.901-904, 1987.

A. I. Morozov and V. V. Savelyev, Theory of the near-wall conductivity, Plasma Physics Reports, vol.57, issue.7, pp.570-575, 2001.
DOI : 10.1007/978-1-4615-4309-1_2

A. I. Morozov and V. V. Savelyev, Fundamentals of Stationary Plasma Thruster Theory, Rev. Plasma Phys, vol.21, p.203, 2000.
DOI : 10.1007/978-1-4615-4309-1_2

R. B. Paris, The asymptotic expansion of Gordeyev's integral, Zeitschrift f??r angewandte Mathematik und Physik, vol.49, issue.2, p.322, 1998.
DOI : 10.1007/PL00001486

J. Perez-luna, N. Dubuit, L. Garrigues, . Hagelaar, and J. P. Boeuf, Electron Trajectories in a Hall Effect Thruster Anomalous Transport Induced by an Azimuthal Wave, IEEE Transactions on Plasma Science, vol.36, issue.4, p.1212, 2008.
DOI : 10.1109/TPS.2008.924500

G. Petiau, La théorie des fonctions de Bessel, CNRS, 1955.

E. R. Priest and J. J. Sanderson, Ion acoustic instability in collisionless shocks, Plasma Physics, vol.14, issue.10, p.951, 1972.
DOI : 10.1088/0032-1028/14/10/005

Y. Raitses, D. Staack, M. Keidar, and N. J. Fisch, Electron-wall interaction in Hall thrusters, Physics of Plasmas, vol.23, issue.5, p.57104, 2005.
DOI : 10.1063/1.1622670

J. Schmitt, Ondes de Berstein ioniques, 1973.

J. P. Schmitt, The magnetoplasma dispersion function: some mathematical properties, Journal of Plasma Physics, vol.6, issue.01, p.51, 1974.
DOI : 10.1063/1.1761709

R. E. Slusher and C. M. Surko, Study of density fluctuations in plasmas by small-angle CO2 laser scattering, Physics of Fluids, vol.43, issue.3, pp.472-490, 1980.
DOI : 10.1103/PhysRevLett.43.1016

. Snecma, Caractéristiques techniques du propulseur Vulcain 2 de la Snecma. www.snecma.com, 2006.

R. Spektor, K. D. Diamant, E. J. Beiting, Y. Raitses, and N. J. Fisch, Laser induced fluorescence measurements of the cylindrical Hall thruster plume, Physics of Plasmas, vol.17, issue.9, p.93502, 2010.
DOI : 10.1088/0963-0252/18/3/034008

A. Truc, A. Quéméneur, P. Hennequin, D. Grésillon, and F. Gervais, ALTAIR: An infrared laser scattering diagnostic on the TORE SUPRA tokamak, Review of Scientific Instruments, vol.9, issue.7, pp.3716-3724, 1992.
DOI : 10.1088/0029-5515/25/5/004

A. Truc, A. Quéméneur, P. Hennequin, D. Grésillon, F. Gervais et al., Altair : Banc optique de diffusion cohérente pour l'´ etude des fluctuations de densité dans le tokamak Tore Supra Small-scale electron density fluctuations in the Hall thruster, investigated by collective light scattering, 2009.

S. Tsikata, C. Honoré, D. Grésillon, and N. Lemoine, Collective Light Scattering for the Study of Fluctuations in Magnetized Plasmas: The Hall Thruster Case Study, Contributions to Plasma Physics, vol.17, issue.2, p.119, 2011.
DOI : 10.1063/1.3499350

URL : https://hal.archives-ouvertes.fr/hal-01551000

S. Tsikata, C. Honoré, N. Lemoine, and D. Grésillon, Three-dimensional structure of electron density fluctuations in the Hall thruster plasma: E????B?? mode, Physics of Plasmas, vol.17, issue.11, p.17112110, 2010.
DOI : 10.1063/1.2359718

S. Tsikata, N. Lemoine, V. Pisarev, and D. Grésillon, Electron density fluctuations in a Hall plasma thruster : observations by collective light scattering, J. Plasma Fusion Res. Series, vol.8, p.1556, 2009.

S. Tsikata, N. Lemoine, V. Pisarev, and D. M. Grésillon, Dispersion relations of electron density fluctuations in a Hall thruster plasma, observed by collective light scattering, Physics of Plasmas, vol.50, issue.3, p.33506, 2009.
DOI : 10.1088/0741-3335/50/12/124041

URL : https://hal.archives-ouvertes.fr/hal-01551021

M. Van-de-sande, Laser scattering on low temperature plasmas : High resolution and stray light rejection, 2002.

H. V. Wong, Electrostatic Electron-Ion Streaming Instability, Physics of Fluids, vol.13, issue.3, p.757, 1970.
DOI : 10.1063/1.1692983

S. Zurbach, N. Cornu, and P. Lasgorceix, Performance evaluation of a 20 kW Hall effect thruster, The 32nd International Electric Propulsion Conference, p.163, 2011.

J. Cavalier, N. Lemoine, G. Bonhomme, S. Tsikata, C. Honoré et al., Device convolution effects on the collective scattering signal of the E????????B mode from Hall thruster experiments: 2D dispersion relation, Physics of Plasmas, vol.19, issue.8, p.82117, 2012.
DOI : 10.1088/0963-0252/8/1/021

URL : https://hal.archives-ouvertes.fr/hal-01550990

J. Cavalier, N. Lemoine, G. Bonhomme, S. Tsikata, C. Honoré et al., Hall thruster plasma fluctuations identified as the E??B electron drift instability: Modeling and fitting on experimental data, Physics of Plasmas, vol.6, issue.8, p.82107, 2013.
DOI : 10.1088/0963-0252/8/1/021

URL : https://hal.archives-ouvertes.fr/hal-01287090

J. Adamek, M. Peterka, T. Gyergyek, P. Kudrna, M. Ramisch et al., Application of the ball-pen probe in two lowtemperature magnetised plasma devices and in torsatron TJ-K, Contributions to Plasma Physics 53, pp.39-44, 2013.

G. Bousselin, J. Cavalier, J. F. Pautex, S. Heuraux, N. Lemoine et al., Design and validation of the ball-pen probe for measurements in a low-temperature magnetized plasma, Review of Scientific Instruments, vol.1, issue.1, p.13505, 2013.
DOI : 10.1887/0750305592

URL : https://hal.archives-ouvertes.fr/hal-01287082