1980
DOI: 10.1088/0022-3727/13/1/002
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Discharge current induced by the motion of charged particles

Abstract: A formula for discharge current flowing in a space charge filled gap is derived for a general geometry of electrodes from the energy balance equation in which the displacement current caused by the motion of the charged particles in the gap is taken into account. It is found that in the formula obtained the influence of the field component produced by the space charge does not appear explicitly and the formula is compatible with the principle of superposition.

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Cited by 159 publications
(74 citation statements)
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“…In Figures 8 and 9, the electron density profiles on the axis of symmetry of the discharge during the avalanche and streamer phases for the two different models (2D and 3D) are presented. In Figure 10 the current density calculated by Sato's formula [24] for the 2D and 3D model is also provided yielding very good agreement.…”
Section: Comparison Of 2d Axi-symmetric and 3d Modelsmentioning
confidence: 75%
“…In Figures 8 and 9, the electron density profiles on the axis of symmetry of the discharge during the avalanche and streamer phases for the two different models (2D and 3D) are presented. In Figure 10 the current density calculated by Sato's formula [24] for the 2D and 3D model is also provided yielding very good agreement.…”
Section: Comparison Of 2d Axi-symmetric and 3d Modelsmentioning
confidence: 75%
“…Initially the charge deposits inside a circle of ~0.22 mm radius, figure 15 (curve 50 ns). As the dielectric surface gradually accumulates the negative charge and the charge density has reached a certain level, the surface charge field tends to oppose the Poisson's field and pushes the incoming ions away from the symmetry 19 axis. At the end of the current pulse, the charge accumulates over a ring of ~0.7 mm radius.…”
Section: Figure 12mentioning
confidence: 99%
“…The total electric fields are then obtained by adding the two resultant electric fields. Moreover, the discharge current profiles are obtained from an equation suggested by Sato [20]. It is assumed at the plasma-barrier interface that all the incoming electrons and ions accumulate on the dielectric barrier as surface charges.…”
Section: B Modeling On Parallel-plate Dbdmentioning
confidence: 99%