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Based on Maxwell's equations, under axis-symmetric assumption, a mathematical model of the magnetic field of a Hall thruster is established. A finite difference method is used for discretizing the model. An iterative method for numerically solving the model is given. The numerical results are obtained. From analysis of the results, the effect of the current in the magnetic field coils on the magnetic configuration of a Hall thruster is investigated. Through adjusting the current, the ideal magnetic configurations are found. It was shown that, for ideal magnetic configuration, the magnetic mirror ratio in the inner channel is between 3 and 3.5, and the magnetic mirror ratio in the outer channel is between 0.4 and 0.9. With the increasing of the current in the magnetic field coils, the magnetic field at the exit of the channel increases, but the magnetic mirror ratio cannot be increased. The magnetic field in the inner channel hardly changes with change of the currents in the magnetic field coils.
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Keywords:
- Hall thruster /
- magnetic configuration /
- current in magnetic field coil /
- magnetic mirror ratio
[1] Boeuf J P, Garrigues L 1998 Appl. Phys. Lett. 84 3541
[2] Guerrini G, Michaut C 1999 Phys. Plasmas 6 343
[3] Choueiri E Y 2001 Phys. Plasmas 8 1411
[4] Yu D R, Wei L Q, Zhao Z Y, Han K, Yan G Y 2008 Phys. Plasmas 15 043502
[5] Yu D R, Wang C S, Wei L Q, Gao C, Yu G 2008 Phys. Plasmas 15 113503
[6] Meezank N B, Hargus W A, Cappelli Jr M A 2001 Phys. Rev. E 63 026401
[7] Smirnov A, Raitses Y, Fisch N J 2004 Phys. Plasmas 11 4922
[8] Meezan N B, Cappelli M A 2002 Phys. Rev. E 66 036401
[9] Ahedo E, Gallardo J M, Martinez-Sanchez M 2003 Phys. Plasmas 10 3397
[10] Gascon N, Dudeck M, Barral S 2003 Phys. Plasmas 10 4123
[11] Barral S, Makowski K, Peradzynski Z, Gascon N, Dudeck M 2003 Phys. Plasmas 10 4137
[12] Yu D R, Li Y Q, Song S H 2006 J. Phys. D: Applied Physics 39 2205
[13] Raitses Y, Staack D, Smirnov A, Fisch N J 2005 Phys. Plasmas 12 073507
[14] Francesco T, Savino L, Mario C 2005 Phys. Plasmas 12 093506
[15] Francesco T, Savino L, Mario C, Ralf S 2009 Appl. Phys. Lett. 94 251502
[16] Yu D R, Zhang F K, Li H, Liu H 2009 Acta Phys. Sin. 58 1844 (in Chinese) [于达仁、 张凤奎、 李 鸿、 刘 辉 2009 58 1184]
[17] Sydorenkoa D, Smolyakov A, Kaganovich I, Raitses Y 2006 Phys. Plasmas 13 014501
[18] Raitses Y, Smirnov A, Staack D, Fisch N J 2006 Phys. Plasmas 13 014502
[19] Garrigues L, Hagelaar G J M, Boniface C, Boeuf J P 2006 J. Appl. Phys. 100 123301
[20] Peterson P Y, Gallimore A D, Haas J M 2002 Phys. Plasmas 9 4354
[21] Garrigues L, Hagelaar G J M, Bareilles J, Boniface C, Boeuf J P 2003 Phys. Plasmas 10 4886
[22] Keidar M, Boyd I D 2005 Appl. Phys. Lett. 87 121501
[23] E P, Yu D R, Wu Z W, Han K 2009 Acta Phys. Sin. 58 2535 (in Chinese) [鄂 鹏、于达仁、武志文、韩 轲 2009 58 2535]
[24] Yu DR, Li J, Li H, Li Y, Jiang BH 2009 Plasma Sci. Technol. 11 714
[25] Geng S F, Tang D L, Zhao J, Qiu X M 2009 Acta Phys. Sin. 58 5520 (in Chinese) [耿少飞、唐德礼、赵 杰、邱孝明 2009 58 5520]
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[1] Boeuf J P, Garrigues L 1998 Appl. Phys. Lett. 84 3541
[2] Guerrini G, Michaut C 1999 Phys. Plasmas 6 343
[3] Choueiri E Y 2001 Phys. Plasmas 8 1411
[4] Yu D R, Wei L Q, Zhao Z Y, Han K, Yan G Y 2008 Phys. Plasmas 15 043502
[5] Yu D R, Wang C S, Wei L Q, Gao C, Yu G 2008 Phys. Plasmas 15 113503
[6] Meezank N B, Hargus W A, Cappelli Jr M A 2001 Phys. Rev. E 63 026401
[7] Smirnov A, Raitses Y, Fisch N J 2004 Phys. Plasmas 11 4922
[8] Meezan N B, Cappelli M A 2002 Phys. Rev. E 66 036401
[9] Ahedo E, Gallardo J M, Martinez-Sanchez M 2003 Phys. Plasmas 10 3397
[10] Gascon N, Dudeck M, Barral S 2003 Phys. Plasmas 10 4123
[11] Barral S, Makowski K, Peradzynski Z, Gascon N, Dudeck M 2003 Phys. Plasmas 10 4137
[12] Yu D R, Li Y Q, Song S H 2006 J. Phys. D: Applied Physics 39 2205
[13] Raitses Y, Staack D, Smirnov A, Fisch N J 2005 Phys. Plasmas 12 073507
[14] Francesco T, Savino L, Mario C 2005 Phys. Plasmas 12 093506
[15] Francesco T, Savino L, Mario C, Ralf S 2009 Appl. Phys. Lett. 94 251502
[16] Yu D R, Zhang F K, Li H, Liu H 2009 Acta Phys. Sin. 58 1844 (in Chinese) [于达仁、 张凤奎、 李 鸿、 刘 辉 2009 58 1184]
[17] Sydorenkoa D, Smolyakov A, Kaganovich I, Raitses Y 2006 Phys. Plasmas 13 014501
[18] Raitses Y, Smirnov A, Staack D, Fisch N J 2006 Phys. Plasmas 13 014502
[19] Garrigues L, Hagelaar G J M, Boniface C, Boeuf J P 2006 J. Appl. Phys. 100 123301
[20] Peterson P Y, Gallimore A D, Haas J M 2002 Phys. Plasmas 9 4354
[21] Garrigues L, Hagelaar G J M, Bareilles J, Boniface C, Boeuf J P 2003 Phys. Plasmas 10 4886
[22] Keidar M, Boyd I D 2005 Appl. Phys. Lett. 87 121501
[23] E P, Yu D R, Wu Z W, Han K 2009 Acta Phys. Sin. 58 2535 (in Chinese) [鄂 鹏、于达仁、武志文、韩 轲 2009 58 2535]
[24] Yu DR, Li J, Li H, Li Y, Jiang BH 2009 Plasma Sci. Technol. 11 714
[25] Geng S F, Tang D L, Zhao J, Qiu X M 2009 Acta Phys. Sin. 58 5520 (in Chinese) [耿少飞、唐德礼、赵 杰、邱孝明 2009 58 5520]
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