2002
DOI: 10.1143/jjap.41.3963
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Measurement of Electron Density of Reactive Plasma Using a Plasma Oscillation Method

Abstract: We propose to describe the dynamics of unstable particles in relativistic quantum field theory in terms of semigroups of transformations of the observables. This leads, in contrast to the usual Hilbert space level treatment, to a complete and consistent description of the irreversible dynamics of decay processes. The scheme is explicitly worked out for the massive scalar quantum field and the evolution of the particle density and its higher moments is computed.

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Cited by 14 publications
(11 citation statements)
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“…The use of an oscillation probes, 5,6 which can provide the local electron density information, was discovered by Shirakawa and Sugai. It directly gives the absolute electron density without complex modeling and assumptions; however, it still has problems when used to measure the processing plasma, [4][5][6][7][8][9][10] as the filament used as the electron beam source can induce metal contamination in the processing reactor, the filament can be etched by fluorocarbon gases (leading to life time problems with the filament), and the probe measurement is possible only at low pressure. Another probe method, the plasma absorption probe method, 4 is applicable to any type of processing plasma, yet this method is limited to electron densities greater than 10 10 cm À3 and to discharge pressures of less than 0.5 Torr.…”
Section: Introductionmentioning
confidence: 99%
“…The use of an oscillation probes, 5,6 which can provide the local electron density information, was discovered by Shirakawa and Sugai. It directly gives the absolute electron density without complex modeling and assumptions; however, it still has problems when used to measure the processing plasma, [4][5][6][7][8][9][10] as the filament used as the electron beam source can induce metal contamination in the processing reactor, the filament can be etched by fluorocarbon gases (leading to life time problems with the filament), and the probe measurement is possible only at low pressure. Another probe method, the plasma absorption probe method, 4 is applicable to any type of processing plasma, yet this method is limited to electron densities greater than 10 10 cm À3 and to discharge pressures of less than 0.5 Torr.…”
Section: Introductionmentioning
confidence: 99%
“…The plasma density of fluorine-based gas increases with decreasing gas pressure. 10) The mean free path of ions also increases with decreasing gas pressure. The anisotropic profile of plasma etching is caused by highly directional ions that bombard the surface.…”
Section: Fabrication Of Fine Metal Gate Stacksmentioning
confidence: 99%
“…9 The plasma oscillation method directly gives the absolute electron density directly without complex modeling and assumptions. However, it still has problems in measuring processing plasma: 7,8,[10][11][12][13] the filament used in the electron beam source can induce metal contamination in the processing reactor, the lifetime of the filament is short, and the probe measurement is available only at low pressure. Another probe method, the plasma absorption probe method, 7 is applicable to any type of processing plasmas, yet this method is limited to electron densities greater than 10 10 cm À3 and to discharge pressures less than 0.5 Torr.…”
Section: Introductionmentioning
confidence: 99%