Abstract
A two-electron-group model is applied to a hydrogen pseudospark and/or backlighted thyratron switch plasma with peak electron density of 1–5x1015 cm-3 and peak current density of 104 A/cm2. In addition to a Maxwellian “bulk” plasma a second group of monoenergetic non-thermal electrons (energy ≥ 100 eV) is assumed to be produced in the high electric field region of the cathode fall. Collisional and radiative processes between electrons, ions and atomic hydrogen are modeled by a set of rate equations and line intensity ratios are compared with measurements. Under these high current conditions, for an initial density nH2≈1016 cm-3 the evaluated “bulk” plasma parameters are electron density of 1–3x1015 cm-3 and electron temperature of 1–1.5 eV, the estimated “beam” density is ≈ 1012–1013 cm-3. Results obtained from a Fokker-Planck and a transport momentum equation suggest the possibility of producing in a simple way a very high density electron beam.
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References
K. Frank, E. Boggasch, J. Christiansen, A. Goertler, W. Hartmann, C. Kozlik, G. Kirkman, C. Braun, V. Dominic, M. A. Gundersen, H.Riege and G. Mechtersheimer, “High Power Pseudospark and BLT Switches,” IEEE Trans. Plasma Sci. 6, 317 (1988).
P. Chen, J. Dawson, R. W. Huff, and T. Katsouleas, “Acceleration of Electrons by the Interaction of a Bunched Electron Beam with a Plasma,” Phys. Rev. Lett. 54, 693 (1985).
G. F. Kirkman, H. Figueroa and M. A. Gundersen, “A plasma lens with highly stable properties,” Proceedings of the 1989 Workshop on Advanced Accelerator Concepts, to appear.
J. A. Kunc, S. Guha and M. A. Gundersen, “A fundamental theory of high power thyratrons, I: The electron temperature,” Laser and Particle Beams 1, 395 (1983).
J. A. Kunc and M. A. Gundersen,“A fundamental theory of high power thyratrons, II: The production of hydrogen and positive ions, ” Laser and Particle Beams 1, 407 (1983).
J. A. Kunc, D. E. Shemansky and M. A. Gundersen, “A fundamental theory of high power thyratrons for high power lasers and beam applications III: The production of radiation,” Laser and Particle Beams 2, 129 (1984).
W. Hartmann, M. A. Gundersen, “Origin of Anomalous Emission on Superdense Glow Discharge,” Phys. Rev. Lett. 60, 2371 (1988).
I. P. Shkarofsky, T. W. Johnston, M. P. Bachynski,The Particle Kinetics of Plasmas, Addison-Wesley Publishing Company (1966).
H. Dreicer, “Electron and Ion Runaway in Fully Ionized Gases. I,” Phys.Rev. 115, 238 (1959).
H. Dreicer, “Electron and Ion Runaway in Fully Ionized Gases. II,” Phys. Rev. 117, 329 (1960).
L. Spitzer, Physics of Fully Ionized Gases, Interscience Publishers, Inc., New York (1962).
L. Spitzer and R. Haerm, “Transport Phenomena in a Completely Ionized Gas,” Phys. Rev. 89, 977 (1953).
G. Kirkman and M. A. Gundersen, “Spectroscopic analysis of the BLT plasma,” Proceedings of the Seventh IEEE Pulsed Power Conference, Monterey (1989).
H. Bauer, G. Kirkman, and M. A. Gundersen, “Modeling of the discharge plasma in a Back Lighted Thyratron during the conduction phase,” Proceedings of the Seventh IEEE Pulsed Power Conference, Monterey (1989).
M. N. Rosenbluth, W. M. Mc Donald and D. L. Judd, “Fokker-Planck Equation for an vol. Inverse Square Force,” Phys. Rev. 107, 1 (1957).
N. A. Krall, A. W. Trivelpiece, Principles of Plasma Physics, McGraw-Hill Book Company, NY (1973).
H. Bauer and M. A. Gundersen, “ Penetration and Equilibration of Injected Electrons into a High Current Hydrogen Pseudospark-type Plasma,” to be published.
D. R. Bates, A. E. Kingston and R. W. P. McWhirter, Proc. Roy. Soc. A267, 297 (1962).
D. R. Bates, A. E. Kingston and R. W. P. McWhirter, Proc. Roy. Soc. A270, 155 (1962).
J. A. Kunc, “Stepwise Ionization in a Non-Equilibrium Steady-State Hydrogen Plasma, ” J. Quant. Spectr. Radiat. Trans. 32, 311 (1984).
J. F. Shaw, M. Mitchner and C. H. Kruger, “Effect of Nonelastic Collisions in Partially Ionized Gases, I. Analytical Solution and Results,” Phys. Fluids 13, 325 (1970).
J. F. Shaw, M. Mitchner and C. H. Kruger, “Effect of Nonelastic Collisions in Partially Ionized Gases, I. Numerical Solution and Results,” Phys. Fluids 13, 339 (1970).
L. C. Johnson, “Approximations for collisional and radiative Transition Rates in atomic hydrogen,” Astrophys. Journal 174, 227 (1972).
Y. B. Zel’Ldovich and Y. P. Raizer, Physics of Shock Waves and High-Temperature Phenomena, Academic Press, New York (1966).
R. K. Janev, W. D. Langer, K. Evans, D. E. Post, Jr., Elementary Processes in Hydrogen and Helium Plasmas-Cross Sections and Reaction Rate Coefficients, Springer Verlag, Berlin-Heidelberg (1987).
M. Mitchner, C. Kruger, Jr., Partially Ionized Gases, John Wiley & Sons, New York (1973).
T. Holstein, “Imprisonment of Resonance Radiation in Gases II,” Phys. Rev. 83, 1159 (1951).
R. W. P. McWirther, Plasma Diagnostic Techniques, Academic Press, New York (1965).
J. More, B. Garbow and K. Hillstrom, “Use guide for Minipack-1,” Argonne National Laboratory Report, ANL-80–74, Argonne, Illinois (1980).
G. Dahlquist, A. Bjoerk and N. Anderson, Numerical Methods, Prentice- Hall, Inc., NJ (1974).
C. W. Gear, Numerical Initial Value Problem in Ordinary Differential Equations, Prentice-Hall, Inc., Englewood Cliffs, NJ (1971).
C. D. Braun, D. A. Erwin, and M. A. Gundersen, “Fundamental processes affecting recovery in hydrogen thyratrons,” Appl. Phys. Lett. 50, 1325 (1987).
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Bauer, H., Kirkman, G., Gundersen, M.A. (1990). A Two-Electron-Group Model for a High Current Pseudospark or Back-Lighted Thyratron Plasma. In: Gundersen, M.A., Schaefer, G. (eds) Physics and Applications of Pseudosparks. NATO ASI Series, vol 219. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3786-1_17
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DOI: https://doi.org/10.1007/978-1-4615-3786-1_17
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