Use of Computer Experiments to Study the Current Collected by Cylindrical Langmuir Probes

Authors

  • A. Tejero-del-Caz Departamento de Física, Universidad de Córdoba, Campus de Rabanales, E-14071, Córdoba
  • J. M. Díaz-Cabrera Departamento de Ingeniería Eléctrica, Universidad de Córdoba, Campus de Rabanales, E-14071, Córdoba
  • J. I. Fernández Palop Departamento de Física, Universidad de Córdoba, Campus de Rabanales, E-14071, Córdoba
  • J. Ballesteros Departamento de Física, Universidad de Córdoba, Campus de Rabanales, E-14071, Córdoba

DOI:

https://doi.org/10.14311/ppt.2016.3.105

Keywords:

computer experiments, particle-in-cell, sheaths, Langmuir probes

Abstract

A particle-in-cell simulation has been developed to study the behaviour of ions in the surroundings of a negatively biased cylindrical Langmuir probe. Here, we report our findings on the transition between radial and orbital behaviour observed by means of the aforementioned code. The influence of the ion to electron temperature ratio on the transition for different dimensionless probe radius is discussed. Two different behaviours have been found for small and large probe radii.

References

T. E. Sheridan. Ion focusing by an expanding, two-dimensional plasma sheath. Applied Physics Letters, 68(14):1918–1920, 1996.

Shi Qian, Huiliang Cao, Xuanyong Liu, and Chuanxian Ding. Nanotube array controlled carbon plasma deposition. Applied Physics Letters, 102(24):243109, jun 2013.

G. D. Severn, Xu Wang, Eunsuk Ko, and N. Hershkowitz. Experimental Studies of the Bohm Criterion in a Two-Ion-Species Plasma Using Laser-Induced Fluorescence. Physical Review Letters, 90(14):145001, apr 2003.

V. Demidov, C. DeJoseph, and A. Kudryavtsev. Anomalously High Near-Wall Sheath Potential Drop in a Plasma with Nonlocal Fast Electrons. Physical Review Letters, 95(21):215002, nov 2005.

Dongsoo Lee, Lutfi Oksuz, and Noah Hershkowitz. Exact Solution for the Generalized Bohm Criterion in a Two-Ion-Species Plasma. Physical Review Letters, 99(15):155004, oct 2007.

M. D. Campanell, A. V. Khrabrov, and I. D. Kaganovich. Absence of Debye Sheaths due to Secondary Electron Emission. Physical Review Letters, 108(25):255001, jun 2012.

J.I. Fernández Palop, V. Colomer, J. Ballesteros, M.A. Hernández, and A. Dengra. Theoretical aspects of the metal-electronegative plasma interface. Surface and Coatings Technology, 84(1-3):341–347, oct 1996.

H. M. Mott-Smith and Irving Langmuir. The Theory of Collectors in Gaseous Discharges. Physical Review, 28(4):727–763, oct 1926.

Ira B. I.B. Bernstein and I.N. Irving N. Rabinowitz. Theory of Electrostatic Probes in a Low-Density Plasma. Physics of Fluids, 2(2):112–121, 1959.

James G Laframboise. Theory of spherical and cylindrical langmuir probes in a collisionless, maxwellian plasma at rest. University of Toronto Institute for Aerospace Studies, (Report - 100):1–216, 1966. Unpublished.

J E Allen, R L F Boyd, and P Reynolds. The Collection of Positive Ions by a Probe Immersed in a Plasma. Proceedings of the Physical Society. Section B, 70(3):297–304, mar 1957.

F F Chen. Numerical computations for ion probe characteristics in a collisionless plasma. Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, 7(1):47–67, jan 1965.

J. I. Fernández Palop, J. Ballesteros, V. Colomer, and M. A. Hernández. Theoretical ion current to cylindrical Langmuir probes for finite ion temperature values. Journal of Physics D: Applied Physics, 29(11):2832–2840, nov 1996.

R. Morales Crespo, J. I. Fernández Palop, M. A. Hernández, and J. Ballesteros. Analytical fit of the I-V probe characteristic for finite ion temperature values: Justification of the radial model applicability. Journal of Applied Physics, 95(6):2982, 2004.

F F Chen. Langmuir probes in RF plasma: surprising validity of OML theory. Plasma Sources Science and Technology, 18(3):035012, aug 2009.

M. a. Hassouba, a. R. Galaly, and U. M. Rashed. Analysis of cylindrical Langmuir probe using experiment and different theories. Plasma Physics Reports, 39(3):255–262, mar 2013.

E Passoth, P Kudrna, C Csambal, J F Behnke, M Tichý, and V Helbig. An experimental study of plasma density determination by a cylindrical Langmuir probe at different pressures and magnetic fields in a cylindrical magnetron discharge in heavy rare gases. Journal of Physics D: Applied Physics, 30(12):1763–1777, jun 1997.

J. M. Díaz-Cabrera, M. V. Lucena-Polonio, J. I. Fernández Palop, R. Morales Crespo, M. A. Hernández, A. Tejero-del Caz, and J. Ballesteros. Experimental study of the ion current to a cylindrical Langmuir probe taking into account a finite ion temperature. Journal of Applied Physics, 111(6):063303, 2012.

F F Chen, J D Evans, and Wade Zawalski. Calibration of Langmuir probes against microwaves and plasma oscillation probes. Plasma Sources Science and Technology, 21(5):055002, oct 2012.

J. M. Díaz-Cabrera, J. Ballesteros, J I Fernández Palop, and A. Tejero-del Caz. Experimental radial motion to orbital motion transition in cylindrical Langmuir probes in low pressure plasmas. Plasma Sources Science and Technology, 24(2):025026, 2015.

R W Hockney and J W Eastwood. Computer Simulation Using Particles. IOP Publishing Ltd., 1988.

A. A. Sonin. Free-molecule Langmuir probe and its use in flow-field studies. AIAA Journal, 4(9):1588–1596, sep 1966.

Downloads

Published

2016-02-13

Issue

Section

Articles