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Study of the asymmetric magnetic field confining the plasma in an experimental ECR set-up

Published online by Cambridge University Press:  12 November 2009

S. BARBARINO  and
F. CONSOLI
S. BARBARINO
Affiliation:
Dipartimento di Fisica e Astronomia, Università degli Studi di Catania, Via S. Sofia 64, 95123 Catania, Italy Dipartimento di Ingegneria Informatica e delle Telecomunicazioni, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy
F. CONSOLI
Affiliation:
Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud, Via S. Sofia 62, 95123 Catania, Italy (consoli@lns.infn.it)
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Abstract

The detailed description of the asymmetric magnetostatic field, used to confine a plasma in a typical electron cyclotron resonance set-up, and of the related resonance surface, associated with an electromagnetic wave feeding the source, has been obtained by means of exact expressions, employing complete elliptic integrals. This field representation is necessary in the studies regarding particles magnetically confined in these apparatuses.

Type
Papers
Information
Journal of Plasma Physics , Volume 76 , Issue 5 , October 2010 , pp. 763 - 776
Copyright
Copyright © Cambridge University Press 2009

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References

[1]Geller, R. 1996 Electron Cyclotron Resonance Ion Sources and ECR Plasmas. Bristol and Philadelphia: IOP Publishing.Google Scholar
[2]Girard, A., Hitz, D., Melin, G. and Serebrennikov, K. 2004 Electron cyclotron resonance plasmas and electron cyclotron resonance ion sources: physics and technology. Rev. Sci. Instrum. 75, 1381–1388.CrossRefGoogle Scholar
[3]Hitz, D. 2006 Recent progress of high frequency electron cyclotron resonance ion sources. In Advances in Imaging and Electron Physics, Vol. 144 (ed. Hawkes, P. W.) Academic Press, San Diego, USA, pp. 1–164.Google Scholar
[4]Bornatici, M., Cano, R., De Barbieri, O. and Engelmann, F. 1983 Electron cyclotron emission and absorption in fusion plasmas. Nucl. Fusion 23, 1153–1276.CrossRefGoogle Scholar
[5]Catalano, R. S., Consoli, F. and Barbarino, S. 2008 Analytic characterization of a resonance surface in an experimental ECR setup. Eur. Phys. J. D 47, 403–412.CrossRefGoogle Scholar
[6]Batygin, Y. K. 1998 Spatial distribution of collisionless ions confined in an electron cyclotron resonance ion source. J. Appl. Phys. 83, 684–690.CrossRefGoogle Scholar
[7]Shirkov, G. D., Alexandrov, V., Preisendorf, V., Shevtsov, V., Komissarov, R., Koryovkina, M., Mironov, V., Shirkova, E., Strkalovsky, O., Tokareva, N., Tuzikov, A., Vatulin, V., Vasina, E., Fomin, V., Anisimov, A., Veselov, R., Golubev, A., Grushin, S., Povyshev, V., Sadovoi, A., Donskoi, E., Shavelko, V., Nakagawa, T. and Yano, Y. 2000 Physical and numerical basement of ECR plasma simulation with particle-in-cell model. Preprint RIKEN-AF-AC-24, RIKEN.Google Scholar
[8]Durand, E. 1968 Magnétostatique. Paris: Masson et Cie.Google Scholar
[9]Callagan, E. E. and Maslen, S. H. 1960 The magnetic field of a finite solenoid. Technical Note D-465, NASA.Google Scholar
[10]Abramowitz, M. and Stegun, I. A. 1965 Handbook of Mathematical Functions. New York: Dover.Google Scholar
[11]Durand, E. 1964 Électrostatique, Tome I, Les Distributions. Paris: Masson et Cie.Google Scholar
[12]Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P. and Metcalf, M. 1992 Numerical Recipes in FORTRAN 77: The Art of Scientific Computing. Cambridge, New York and Melbourne: Cambridge University Press.Google Scholar
[13]Lyneis, C. M., Leitner, D., Todd, D. S., Sabbi, G., Prestemon, S., Caspi, S. and Ferremon, P. 2008 Fourth generation electron cyclotron resonance ion sources. Rev. Sci. Instrum. 79, 02A321-1–02A321-4.CrossRefGoogle ScholarPubMed
[14]Leitner, D., Galloway, M. L., Loew, T. J., Lyneis, C. M., Castro Rodriguez, I. and Todd, D. S. 2008 High intensity production of high and medium charge state uranium and other heavy ion beams with VENUS. Rev. Sci. Instrum. 79, 02C710-1–02C710-4.CrossRefGoogle ScholarPubMed
[15]Ciavola, G., Gammino, G., Barbarino, S., Celona, L., Consoli, F., Gallo, G., Maimone, F., Mascali, D., Passarello, S., Galatà, A., Tinschert, K., Spädtke, P., Lang, R., Mäder, J., Roßbach, J., Koivisto, H., Savonen, M., Koponen, T., Suominen, P., Ropponen, T., Baruè, C., Lechartier, M., Beijers, J. P. M., Brandeburg, S., Kremers, H. R., Vanrooyen, D., Kuchler, D., Scrivens, R., Shachter, L., Dobrescu, S. and Stiebing, K. 2008 A status report of the multipurpose superconducting electron cyclotron resonance ion source. Rev. Sci. Instrum. 79, 02A326-1–02A326-7.CrossRefGoogle ScholarPubMed
[16]Ciavola, G., Gammino, G., Celona, L., Torrisi, L., Passarello, S., Andò, L., Cavenago, M., Galatà, A., Spädtke, P., Tinschert, K., Lang, R., Iannucci, R., Leroy, R., Baruè, C., Hitz, D., Seyfert, P., Koivisto, H., Suominen, P., Tarvanien, O., Beijers, J. P. M., Brandeburg, S., Vanrooyen, D., Hill, C., Kuchler, D., Homeyer, H., Röhrich, J., Shachter, L. and Dobrescu, S. 2006 Multipurpose superconducting electron cyclotron resonance ion source, the European roadmap to third-generation electron cyclotron resonance ion sources. Rev. Sci. Instrum. 77, 03A303-1–03A303-5.CrossRefGoogle Scholar
[17]Golubev, S. V., Razin, S. V. and Zorin, V. G. 1998 Ion charge state distribution in plasma of electron cyclotron resonance discharge sustained by a powerful millimeter wave radiation. Rev. Sci. Instrum. 69, 634–636.CrossRefGoogle Scholar
[18]Bergeman, T., Erez, G. and Metcalf, H. J. 1987 Magnetostatic trapping fields for neutral atoms. Phys. Rev. A 35, 4, 1535–1546.CrossRefGoogle ScholarPubMed
[19]Weber, E. 1950 Electromagnetic Fields, Theory and Applications: Volume I; Mapping of Fields. New York and London: John Wiley.Google Scholar
[20]West, H. I. Jr, 1982 Calculation of ion charge-state distribution in ECR ion sources. UCRL-53391, Lawrence Livermore National Laboratory, University of California.Google Scholar
[21]Shirkov, G. D. 1993 A classical model of ion confinement and losses in ECR ion sources. Plasma Sources Sci. Technol. 2, 250–257.CrossRefGoogle Scholar
[22]Philippov, A. V., Shirkov, G. D., Consoli, F., Gammino, S., Ciavola, G., Celona, L. and Barbarino, S. 2008 Model for calculation of ion charge-state distribution in ECR ion source plasma. In Proceedings of the Eighth Seminar on Problems of Theoretical and Applied Electron and Ion Optics, Moscow, 29–31 May (ed. Filachev, A. M.), Bellingam, WA, vol. 7121, pp. 71210C-1–71210C-12, SPIE.Google Scholar
[23] Available at http://www.mathworks.com/.Google Scholar
[24]Shirkov, G. D., Alexandrov, V., Preisendorf, V., Shevtsov, V., Filippov, A., Komissarov, R., Mironov, V., Shirkova, E., Strekalovsky, O., Tokareva, N., Tuzikov, A., Vatulin, V., Vasina, E., Fomin, V., Anisimov, A., Veselov, R., Golubev, A., Grushin, S., Povyshev, V., Sadovoi, A., Donskoi, E., Shevelko, V., Nakagawa, T. and Yano, Y. 2002 Particle-in-cell code library for numerical simulation of the ECR source plasma. Rev. Sci. Intrum. 73, 644–646.CrossRefGoogle Scholar
[25]Xie, Z. Q. and Lyneis, C. M. 1995 Two-frequency plasma heating in a high charge state electron cyclotron resonance ion source. Rev. Sci. Intrum. 66, 4218–4221.CrossRefGoogle Scholar
[26]Alton, G. D., Meyer, F. W., Liu, Y., Beene, J. R. and Tucker, D. 1998 Enhanching the performances of traditional electron cyclotron resonance ion sources with multiple-discrete-frequency microwave radiation. Rev. Sci. Intrum. 69, 2305–2312.CrossRefGoogle Scholar
[27]Celona, L. and Consoli, F. 2007, December Study about the definition of a high power, large bandwidth device working around the 28 GHz frequency, for feeding the new generation electron cyclotron resonance ion sources. Report, INFN-LNS.Google Scholar
[28]Celona, L., Ciavola, G., Consoli, F., Gammino, S., Maimone, F., Spädtke, P., Tinschert, K., Lang, R., Mader, J., Roßbach, J., Barbarino, S., Catalano, R. S. and Mascali, D. 2008 Observations of the frequency tuning effect in the 14 GHz CAPRICE ion source. Rev. Sci. Intrum. 79, 023305-1–023305-10.CrossRefGoogle ScholarPubMed
[29]Consoli, F., Celona, L., Ciavola, G., Gammino, S., Maimone, F., Barbarino, S., Catalano, R. S. and Mascali, D. 2008 Microwave field distribution and electron cyclotron resonance heating process. Rev. Sci. Intrum. 79, 02A308-1–02A308-5.CrossRefGoogle ScholarPubMed