Electron Waves and Resonances in Bounded Plasmas

Vandenplas, P. E.; Crawford, F. W.

doi:10.1119/1.1986111

Cited by 47 publications

(52 citation statements)

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“…A simple model [19][20][21]23 is that of a cold, uniform plasma slab placed in a parallel plate with a variable layer of vacuum between the slab and the plate. It is well known that a variable electric field E m e jt in a plasma causes a current density consisting of two components: ͑a͒ a displacement current density i dis ϭ j⑀ 0 E m e jt , which is advanced in phase with respect to the field by 90°and is capacitive; ͑b͒ an electronic current ͑conduction current͒ density which, in the absence of collisions between plasma electrons and gas atoms, is given by i e ϭϪ͓( je 2 n e )/(m)͔E m e jt .…”

Section: A Uniform Plasma Modelmentioning

confidence: 99%

Plasma-sheath resonances and energy absorption phenomena in capacitively coupled radio frequency plasmas. Part I

Ku¹,

Annaratone²,

Allen³

1998

Journal of Applied Physics

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A plasma-sheath resonance has been observed at low pressures in argon plasmas. This phenomenon was known in a different context, that of the plasma resonance probe, but was hitherto unknown in parallel-plate plasma reactors. Two different models have been used to resolve the plasma-sheath resonances. A simple linear model is used to represent the plasma system as a series circuit of two capacitors (sheaths) and an inductor (plasma region). The plasma-sheath resonance occurs at a frequency where the cold plasma behaves inductively and resonates together with the two sheaths. The second model treats the plasma bulk as a series combination of an infinite number of elementary cells each one constituted by an inductor and a capacitor in parallel. By assuming an electron density profile the total impedance of the plasma can be obtained. Furthermore, the calculations show that the resonant energy is absorbed at an infinitely thin resonance plane. This causes the impedance of the system, filled with a lossless inhomogeneous plasma, to have a real part. This resonance can be used as a diagnostic, to measure the electron density. It could perhaps be exploited as the basis of a new plasma reactor.

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Section: A Uniform Plasma Modelmentioning

confidence: 99%

Plasma-sheath resonances and energy absorption phenomena in capacitively coupled radio frequency plasmas. Part I

Ku¹,

Annaratone²,

Allen³

1998

Journal of Applied Physics

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“…According to [13], in this case a/&j and alaz are small as compared To the first approximation (7) aasunies the form:…”

Section: (2)mentioning

confidence: 98%

On the Averaged Forces in Bounded Plasma in Parallel Electric and Magnetic Fields

Nikolov¹,

Malinov²,

Yanovsky³

1983

Contrib Plasma Phys

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“…Hence, normal boundary conditions are not independent but are assured to be satisfied when the tangential boundary conditions are satisfied [14]. Using a scalar electron pressure, hydrodynamic approach, it is assumed that the electron velocity normal to the plasma/ dielectric boundary is zero Chawla [15], Crawford [8] and Vandenplas [16], which results in two more boundary equations. However, we do not assume electron pressure to be zero at the boundaries.…”

Section: Waves Inside the Slabmentioning

confidence: 99%

Thin Film Reflection Properties of a Warm Isotropic Plasma Slab Between Two Half-Space Dielectric Media

Markos

Kalluri

2011

J Infrared Milli Terahz Waves

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This paper describes electromagnetic wave behavior within a thin metal film bounded by two different dielectric materials. The film is isotropic, homogeneous, temporally and spatially dispersive with complex refractive index n p . The geometry of the film is a slab bounded by half-space dielectrics of refractive indices n I (input medium) and n T (output medium), which are assumed to be real. Since the film is spatially dispersive it is modeled as a warm plasma using macroscopic Maxwell's equations coupled with hydrodynamic equations for a compressible electron gas. The electron gas or plasma considers positive ions to be stationary, in the background, ensuring overall charge neutrality. The waves at the input, output and inside the plasma slab are described. The characteristic roots for the warm plasma are derived from the dispersion relation for oblique incidence of the wave in the input medium of refractive index n I . The power reflection coefficient for refractive indices ≥1 is derived and its results are presented in segmented regions bounded by the zeros of the characteristic roots known as critical points.

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Electron Waves and Resonances in Bounded Plasmas

Abstract: Plasma waves in a bounded anisotropic plasma: Influence of the electron density inhomogeneity

Cited by 47 publications

References 0 publications

Plasma-sheath resonances and energy absorption phenomena in capacitively coupled radio frequency plasmas. Part I

Plasma-sheath resonances and energy absorption phenomena in capacitively coupled radio frequency plasmas. Part I

On the Averaged Forces in Bounded Plasma in Parallel Electric and Magnetic Fields

Thin Film Reflection Properties of a Warm Isotropic Plasma Slab Between Two Half-Space Dielectric Media

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