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Plasma response to nonlinear time-periodic electric fields in one dimension

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.3496050· OSTI ID:21531956
 [1]
  1. Faculty of Mathematics and Computer Science, Weizmann Institute of Science, P.O. Box 26, Rehovot 76100 (Israel)
Plasma response to spatially nonuniform time-periodic electric fields is of importance in many applications. For the case of a spatially linear monochromatic electric field in Paul traps, exact analytic expressions for the time-dependent plasma distribution function have been recently obtained [K. Shah and H. S. Ramachandran, Phys. Plasmas 15, 062303 (2008)]. In this paper, the problem of plasma response to a one-dimensional time-periodic electric field with a general spatial dependence is considered and analytic expressions for the time-averaged plasma distribution function and density are derived by solving the Vlasov equation under two limiting cases of high and low frequencies. Under this approximation, it is shown that the time-averaged plasma density is a function of the square of the oscillatory electric potential.
OSTI ID:
21531956
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
Country of Publication:
United States
Language:
English