Abstract
The magnetic field in the plasma jet propagating from the plasma pinch region along the axis of the chamber in a megajoule PF-3 plasma focus facility is studied. The dynamics of plasma with a trapped magnetic flow is analyzed. The spatial sizes of the plasma jet region in which the magnetic field concentrates are determined in the radial and axial directions. The magnetic field configuration in the plasma jet is investigated: the radial distribution of the azimuthal component of the magnetic field inside the jet is determined. It is shown that the magnetic induction vector at a given point in space can change its direction during the plasma flight. Conclusions regarding the symmetry of the plasma flow propagation relative to the chamber axis are drawn.
Similar content being viewed by others
References
V. V. Vikhrev, Sov. J. Plasma Phys. 3(5), 539 (1977).
E. V. Aglitskii, V. V. Vikhrov, and A. V. Gulov, Spectroscopy of Multiply Charged Ions in the Hot Plasma (Nauka, Moscow, 1991), p. 181 [in Russian].
E. V. Grabovskii, O. Yu. Vorob’ev, K. S. Dyabilin, M. E. Lebedev, A. V. Ostrik, V. P. Smirnov, and V. E. Fortov, JETP Lett. 60(1), 1 (1994).
A. E. Bugrov, I. N. Burdonskii, V. V. Gavrilov, A. Yu. Gol’tsov, E. V. Grabovski, V. P. Efremov, E. V. Zhuzhukalo, M. V. Zurin, N. G. Koval’ski, V. N. Kondrashov, G. M. Olenik, A. I. Potapenko, A. A. Samokhin, V. P. Smirnov, V. E. Fortov, and I. N. Frolov, Plasma Phys. Rep. 33(6), 444 (2007).
F. S. Felber, F. J. Wessel, N. C. Wild, H. U. Rahman, A. Fisher, C. M. Fowler, M. A. Liberman, and A. L. Velikovich, J. Appl. Phys. 64, 3831 (1988).
F. S. Felber, M. A. Liberman, and A. L. Velikovich, Appl. Phys. Lett. 46, 1042 (1985).
F. S. Felber, M. M. Malley, F. J. Wessel, M. K. Matzen, M. A. Palmer, R. B. Spielman, M. A. Liberman, and A. L. Velikovich, Phys. Fluids 31, 2053 (1988).
A. V. Luchinskii, N. A. Ratakhin, S. A. Sorokin, and S. A. Chaikovskii, Sov. Tech. Phys. Lett. 15(9), 739 (1989).
R. K. Appartaim and A. E. Dangor, J. Appl. Phys. 84, 4170 (1998).
G. G. Zukakishvili, K. N. Mitrofanov, E. V. Grabovskii, and G. M. Oleinik, Plasma Phys. Rep. 31(8), 652 (2005).
D. Mourenas, J. Vierne, F. Simonet, V. I. Krauz, S. Nikulin, V. V. Mialton, and M. A. Karakin, Phys. Plasmas 10, 605 (2003).
V. I. Krauz, F. Simone, and D. Mourenas, in Encyclopedia of Low Temperature Plasma, Ed. by V. E. Fortov, Ser. B: Reference Applications, Databases, and Databanks, Topical Vol. IX-3: Radiation Plasmodynamics (Yanus-K, Moscow, 2007), p. 548 [in Russian].
D. J. Ampleford, S. V. Lebedev, A. Ciardi, S. N. Bland, S. C. Bott, G. N. Hall, N. Naz, C. A. Jennings, M. Sherlock, J. P. Chittenden, J. B. A. Palmer, A. Frank, and E. Blackman, Phys. Rev. Lett. 100, 035001 (2008).
C. Gourlan, H. Kroegler, C. Maisonnier, J. P. Rager, B. V. Robouch, and A. Gentilini, in Proceedings of the International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Innsbruck, Austria, August 23–30, 1978 (International Atomic Energy Agency (IAEA), Vienna, 1979), Vol. II, p. 123.
R. B. Spielman, C. Deeney, G. A. Chandler, M. R. Douglas, D. L. Fehl, M. K. Matzen, D. H. McDaniel, T. J. Nash, J. L. Porter, T. W. L. Sanford, J. F. Seamen, W. A. Stygar, K. W. Struve, S. P. Breeze, J. S. McGurn, J. A. Torres, D. M. Zagar, T. L. Gilliland, D. O. Jobe, J. L. McKenney, R. C. Mock, M. Vargas, T. Wagoner, and D. L. Peterson, Phys. Plasmas 5, 2105 (1998).
M. Scholz, L. Karpinski, V. I. Krauz, P. Kube, M. Paduch, and M. J. Sadowski, Nukleonika 57, 183 (2012).
M. K. Matzen, Fusion Eng. Des. 44, 287 (1999).
E. V. Grabovsky, E. A. Azizov, S. G. Alikhanov, V. Bakhtin, A. N. Gribov, Yu. A. Halimullin, V. Levashov, A. P. Lototsky, A. M. Zhitlukhin, M. K. Krilov, V. D. Pismenni, E. P. Velikhov, Yu. G. Kalinin, A. S. Kingsep, G. I. Dolgachev, V. P. Smirnov, V.A.G Iukhih, V. C. Kuchinsky, O. P. Pechersky, A. I. Kononenko, A. I. Kormilitsyn, and G. V. Rikovanov, in Proceedings of the 14th IEEE International Pulsed Power Conference (PPC-2003), Dallas, Texas, United States, June 15–18, 2003 (Dallas, 2003), Vol. 2, p. 921.
C. Olson, G. Rochau, S. Slutz, C. Morrow, R. Olson, M. Cuneo, D. Hanson, G. Bennett, T. Sanford, J. Bailey, W. Stygar, R. Vesey, T. Mehlhorn, K. Struve, M. Mazarakis, M. Savage, T. Pointon, M. Kiefer, S. Rosenthal, K. Cochrane, L. Schneider, S. Glover, K. Reed, D. Schroen, C. Farnum, M. Modesto, D. Oscar, L. Chhabildas, J. Boyes, V. Vigil, R. Keith, M. Turgeon, B. Cipiti, E. Lindgren, V. Dandini, H. Tran, D. Smith, D. McDaniel, J. Quintenz, M. K. Matzen, J. P. VanDevender, W. Gauster, L. Shephard, M. Walck, T. Renk, T. Tanaka, M. Ulrickson, W. Meier, J. Latkowski, R. Moir, R. Schmitt, S. Reyes, R. Abbott, R. Peterson, G. Pollock, P. Ottinger, J. Schumer, P. Peterson, D. Kammer, and G. Kulcinski, Fusion Sci. Technol. 47, 633 (2005).
N. V. Fillipov, T. I. Fillipova, and V. P. Vinogradov, Nucl. Fusion 2, 577 (1962).
J. W. Mather, Phys. Fluids 8, 366 (1965).
B. A. Remington, R. P. Drake, and D. D. Ryutov, Rev. Mod. Phys. 78, 755 (2006).
F. Suzuki-Vidal, M. Bocchi, S. V. Lebedev, G. F. Swadling, G. Burdiak, S. N. Bland, P. de Grouchy, G. N. Hall, A. J. Harvey-Thompson, E. Khoory, S. Patankar, L. Pickworth, J. Skidmore, R. Smith, J. P. Chittenden, M. Krishnan, R. E. Madden, K. Wilson-Elliot, A. Ciardi, and A. Frank, Phys. Plasmas 19, 022708 (2012).
F. Suzuki-Vidal, S. V. Lebedev, M. Krishnan, J. Skidmore, G. F. Swadling, M. Bocchi, A. J. Harvey-Thompson, S. Patankar, G. C. Burdiak, P. de Grouchy, L. Pickworth, S. J. P. Stafford, L. Suttle, M. Bennett, S. N. Bland, J. P. Chittenden, G. N. Hall, E. Khoory, R. A. Smith, A. Ciardi, A. Frank, R. E. Madden, K. Wilson-Elliot, and P. Coleman, High Energy Density Phys. 9, 141 (2013).
V. Krauz, V. Myalton, V. Vinogradov, E. Velikhov, S. Ananyev, Y. Vinogradova, S. Dan’ko, Y. Kalinin, G. Kanaev, K. Mitrofanov, A. Mokeev, A. Nashilevsky, V. Nikulin, A. Pastukhov, G. Remnev, and A. Kharrasov, Phys. Scr. 2014(T161), 014036 (2014).
V. E. Fortov, M. A. Karakin, E. Yu. Khautiev, V. I. Krauz, S. F. Medovschikov, A. N. Mokeev, V. V. Myalton, S. L. Nedoseev, V. P. Smirnov, and V. P. Vinogradov, in Proceedings of the Fifth International Conference on Dense Z-Pinches, Albuquerque, New Mexico, United States, June 23–28, 2002, Ed. by J. Davids, Ch. Deeney, and N. R. Pereira (AIP Conf. Proc. 651, 37 (2002)).
C. Gourlan, H. Kroegler, Ch. Maisonier, T. Oppenlander, and J. P. Rager, in Proceedings of the Eighth European Conference on Controlled Fusion and Plasma Physics, Prague, Czechoslovakia, September 19–23, 1977 (Prague, 1977), Vol. II, p. 178.
S. I. Anan’in, V. V. Vikhrev, and N. V. Filippov, Fiz. Plazmy 4, 315 (1978).
H. Bruzzone and D. Grondonaz, Plasma Phys. Controlled Fusion 39, 1315 (1997).
M. A. Mohammadi, S. Sobhanian, M. Ghomeishi, E. Ghareshabani, M. Moslehi-fard, S. Lee, and R. S. Rawat, J. Fusion Energy 28(4), 371 (2009). doi: 10.1007/s10894-009-9205-2
A. Bernard, A. Coudeville, J. P. Garçonnet, A. Jolas, J. de Mascureau, and C. Nazet, in Proceedings of the Sixth International Conference on Plasma Physics and Controlled Nuclear Research, Berchtesgaden, Germany, October 6–13, 1976 (International Atomic Energy Agency (IAEA), Vienna, 1977), p. 471.
V. A. Gribkov, A. V. Dubrovskii, N. V. Kalachev, O. N. Krokhin, V. I. Mikhailov, and V. Ya. Nikulin, Kratk. Soobshch. Fiz., No. 8, 24 (1989).
A. Gurey, V. Nikulin, S. Polukhin, and I. Volobuev, Probl. At. Sci. Technol., Ser.: Plasma Phys. 15(1), 98 (2009).
E. A. Andreeshchev, D. A. Voitenko, V. I. Krauz, A. I. Markoliya, Yu. V. Matveev, N. G. Reshetnyak, and E. Yu. Khautiev, Plasma Phys. Rep. 33(3), 218 (2007).
N. V. Filippov, T. I. Filippova, A. N. Filippov, M. A. Karakin, E. Yu. Khautiev, V. I. Krauz, A. N. Mokeev, V. V. Mialton, S. A. Nikulin, V. P. Tykshaev, V. P. Vinogradov, D. Friart, F. Simonet, and J. Vierne, Czech. J. Phys. 50(3 Suppl.), 127 (2000).
N. V. Filippov, T. I. Filippova, A. N. Filippov, D. Friart, M. A. Karakin, E. Yu. Khautiev, V. I. Krauz, A. N. Mokeev, V. V. Myalton, S. A. Nikulin, F. Simonet, V. P. Tykshaev, J. Vierne, and V. P. Vinogradov, Nucleonika 46(1), 31 (2001).
M. M. Orlov, A. R. Terent’ev, and V. A. Khrabrov, Fiz. Plazmy 11, 1517 (1985).
J. P. Rager, in Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics, Moscow, Soviet Union, September 14–19, 1981 (Moscow, 1981), Vol. 2, p. 71.
H. Bruzzone, C. Moreno, and H. Kelly, Meas. Sci. Technol. 2, 1195 (1991).
I. V. Glazyrin, E. V. Grabovskii, G. G. Zukakishvili, A. V. Karpeev, K. N. Mitrofanov, G. M. Oleinik, and A. A. Samokhin, Vopr. At. Nauki Tekh., Ser.: Termoyad. Sint., No. 2, 67 (2009).
I. V. Glazyrin, O. V. Diyankov, N. G. Karlykhanov, S. V. Koshelev, I. V. Krasnogorov, A. N. Slesareva, and M. S. Timakova, Laser Part. Beams 18, 261 (2000).
E. Grabovsky, G. Zukakishvili, K. Mitrofanov, G. M. Oleinik, I. Ju. Porofeev, V. P. Smirnov, and G. S. Volkov, in Advanced Diagnostics for Magnetic and Inertial Fusion (Proceedings of the International Conference on Advanced Diagnostics for Magnetic and Inertial Fusion, Varenna, Italy, September 3-7, 2001), Ed. by P. E. Stott, A. Wootton, G. Gorini, E. Sindoni, and D. Batani (Kluwer, New York, 2001), p. 257.
E. V. Grabovskii, G. G. Zukakishvili, K. N. Mitrofanov, G. M. Oleinik, A. A. Samokhin, and V. P. Smirnov, Preprint No. 0091A, TRINITI (TsNIIATOMINFORM, 2002).
G. G. Zukakishvili, K. N. Mitrofanov, E. V. Grabovskii, and G. M. Oleinik, Plasma Phys. Rep. 31(8), 652 (2005).
G. G. Zukakishvili, K. N. Mitrofanov, V. V. Aleksandrov, E. V. Grabovski, G. M. Oleinik, I. Yu. Porofeev, P. V. Sasorov, and I. N. Frolov, Plasma Phys. Rep. 31(11), 908 (2005).
E. V. Grabovskii, G. G. Zukakishvili, K. N. Mitrofanov, G. M. Oleinik, I. N. Frolov, and P. V. Sasorov, Plasma Phys. Rep. 32(1), 32 (2006).
V. I. Krauz, K. N. Mitrofanov, V. V. Myalton, E. Yu. Khautiev, A. N. Mokeev, V. P. Vinogradov, Yu. V. Vinogradova, E. V. Grabovsky, and G. G. Zukakishvili, in Proceedings of the 34th European Physical Society (EPS) Conference on Plasma Physics, Warsaw, Poland, July 2–6, 2007, Ed. by R. M. Pick (2007), ECA, Vol. 31F, p. 1.021.
V. I. Krauz, K. N. Mitrofanov, V. V. Myalton, E. V. Grabovski, V. S. Koidan, V. P. Vinogradov, Y. V. Vinogradova, and G. G. Zukakishvili, IEEE Trans. Plasma Sci. 38(2), 92 (2010).
V. I. Krauz, K. N. Mitrofanov, V. V. Myalton, V. P. Vinogradov, Yu. V. Vinogradova, E. V. Grabovski, G. G. Zukakishvili, V. S. Koidan, and A. N. Mokeev, Plasma Phys. Rep. 36(11), 937 (2010).
V. I. Krauz, K. N. Mitrofanov, V. V. Myalton, V. P. Vinogradov, Yu. V. Vinogradova, E. V. Grabovski, and V. S. Koidan, Plasma Phys. Rep. 37(9), 742 (2011).
V. Krauz, K. Mitrofanov, M. Scholz, M. Paduch, L. Karpiński, E. Zielińska, and P. Kubes, Plasma Phys. Controlled Fusion 54, 025010 (2012).
V. I. Krauz, K. N. Mitrofanov, M. Scholz, M. Paduch, P. Kubes, L. Karpinski, and E. Zielinska, Europhys. Lett. 98, 45001 (2012).
V. I. Krauz, K. N. Mitrofanov, D. A. Voitenko, Yu. V. Matveev, and G. I. Astapenko, Plasma Phys. Rep. 39(11), 888 (2013).
R. Kh. Kurtmulaev, V. I. Pil’skii, and V. N. Semenov, Sov. Phys. Tech. Phys. 15(5), 804 (1970).
Plasma Diagnostics, Ed. by W. Lochte Holtgreven, (North-Holland, Amsterdam, The Netherlands, 1968).
S. S. Ananyev, S. A. Dan’ko, V. V. Mylton, Yu. G. Kalinin, V. I. Krauz, V. P. Vinogradov, and Yu. V. Vinogradova, Vopr. At. Nauki Tekh., Ser.: Termoyad. Sint. 36(4), 102 (2013).
L. Spitzer, Jr., Physics of Fully Ionized Gases (Wiley, New York, 1962; Mir, Moscow, 1965), p. 188.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © K.N. Mitrofanov, V.I. Krauz, V.V. Myalton, E.P. Velikhov, V.P. Vinogradov, Yu.V. Vinogradova, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 146, No. 5, pp. 1035–1050.
Rights and permissions
About this article
Cite this article
Mitrofanov, K.N., Krauz, V.I., Myalton, V.V. et al. Magnetic field distribution in the plasma flow generated by a plasma focus discharge. J. Exp. Theor. Phys. 119, 910–923 (2014). https://doi.org/10.1134/S1063776114110168
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776114110168