Second Oder Perturbation Theory of Resonnance Probe

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概要

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• The increment of the DC current in the “Resonance Probe” is calculated from the second oder perturbation term of the electron distribution function, when it is expanded in power of a small amplitude of the AC voltage applied to the probe. The increment δj thus calculated well explains the experimental result (K. Takayama et al; Phys. Rev. Letters 5, 1960, 238), that is, δj retains a finite value for ω<SUB>o</SUB><ω<SUB>p</SUB>, shows a resonant peak at ω<SUB>o</SUB>= ω<SUB>p</SUB> and goes down to zero for ω<SUB>o</SUB>>ω<SUB>p</SUB>, where ω<SUB>o</SUB> and ω<SUB>p</SUB> are the applied frequency and plasma frequency respectively, The result of calculation also shows that the ratio of the peak height to the value of δj at ω<SUB>o</SUB>=ω is independent of the DC probe potenntial and given by<BR>{(ω<SUP>2</SUP>+ν<SUP>2</SUP>) / (ω<SUB>p</SUB><SUP>2</SUP>+ν<SUP>2</SUP>)} |ε (ω) /ε (ω<SUB>p</SUB>) |<SUP>2</SUP>, <BR>the half width being give by 2ν, where ν is the effective collision frequency of the electron with neutral molecules and ε (ω) is the complex dielectric permittivity of plasma.

• 社団法人 プラズマ・核融合学会の論文

著者

• 築島 隆繁

  名工大

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