The Polarization Response Function and the Dielectric Permittivity of a Plasma

We give a simple direct derivation of the polarization response function h for linear electrostatic excitations of a plasma (without magnetic field) considering the effect of a percussion on the electrons. The physical meaning of the procedure is discussed, thus bringing into light basic facts of th...

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Bibliographic Details
Published inIEEE transactions on plasma science Vol. 12; no. 3; pp. 223 - 226
Main Authors Gnavi, G., Gratton, F.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.09.1984
Institute of Electrical and Electronics Engineers
Subjects
Dielectrics
Distribution functions
Electrons
Electrostatics
Equations
Exact sciences and technology
Fourier transforms
Frequency
Optical polarization
Permittivity
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma properties
Response function
Plasma
Permittivity
Electrical polarization
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Summary:We give a simple direct derivation of the polarization response function h for linear electrostatic excitations of a plasma (without magnetic field) considering the effect of a percussion on the electrons. The physical meaning of the procedure is discussed, thus bringing into light basic facts of the plasma dielectric behavior. The result h = ωp2f0(x/t) (where f0 is the electron distribution function in velocity space and ωp the plasma frequency) is obtained without passing through the Vlasov-Poisson equations as in the standard theory. We show that the equivalence between the present method and the classic Landau analysis rests on properties of the Fourier transform applied on velocity space.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0093-3813
1939-9375
DOI:10.1109/TPS.1984.4316322