Journal ArticleDOI
Asymptotic Theory of Spherical Electrostatic Probes in a Slightly Ionized, Collision‐Dominated Gas
TLDR
In this article, the problem of an electrostatic probe in a dense, slightly ionized gas is treated by techniques of asymptotic analysis, in particular, ρp = rp/λd → ∞ and e = T+/T− → 0 are treated in considerable detail.Abstract:
The problem of an electrostatic probe in a dense, slightly ionized gas is treated by techniques of asymptotic analysis. In particular, the asymptotic limits ρp = rp/λd → ∞ and e = T+/T− → 0 are treated in considerable detail. (rp, λd, T−, T+ are probe radius, Debye length, electron, and ion temperature, respectively.) Sample integral curves for electrostatic potential, ion and electron density are given. Probe characteristic curves for three values of e (finite and small) and ρp (large) are also given. It is noted that these characteristics do not saturate for large probe potential because the influence of the probe is felt to very great distances from the probe; the shielding due to the space‐charge sheath is incomplete.read more
Citations
More filters
Journal ArticleDOI
The Bohm criterion and sheath formation
TL;DR: In this paper, the basic features of the plasma-sheath transition and their relation to the Bohm criterion are discussed and illustrated from a simple cold-ion fluid model, and a rigorous kinetic analysis of the vicinity of the sheath edge allows one to generalize Bohm's criterion accounting not only for arbitrary ion and electron distributions, but also for general boundary conditions at the wall.
Journal ArticleDOI
Electric probes for plasmas: The link between theory and instrument
TL;DR: In this article, a review of electric probe methods for diagnostics of plasmas is presented with emphasis on the link between the appropriate probe theories and the instrumental design, and a systematic classification of various regimes of probe operation and a summary of theories and methods for measurements of charged particle distributions.
Journal ArticleDOI
Continuum Theory of Spherical Electrostatic Probes
TL;DR: In this article, a continuum theory for spherical electrostatic probes in a slightly ionized plasma is developed, where the density of the plasma is taken to be sufficiently high such that both ions and electrons suffer numerous collisions with the neutrals before being collected by an absorbing probe.
Journal ArticleDOI
The influence of collisions on the plasma sheath transition
TL;DR: In this article, a simple fluid model of the ions is used to account for collisions and for space charges in the boundary layer, and it is shown that the asymptotic solution on an intermediate scale (scale length λ 1/5λD4/5) is suitable to match the presheath and sheath solutions smoothly and to construct a convenient approximation for small but finite λD/λ.
Journal ArticleDOI
The plasma–sheath boundary region
TL;DR: In this article, a broad coverage of the problem of joining plasma and sheath over a wide range of physical conditions is given, where the authors go back to the earliest works to understand what those who introduced the various terms associated with the structure of the plasma-sheath had in mind.
References
More filters
Journal ArticleDOI
Fourier's Series
Abstract: I SHOULD like to add a few words concerning the subject of Prof. Michelson's letter in NATURE of October 6. In the only reply which I have seen (NATURE, October 13), the point of view of Prof. Michelson is hardly considered.