A deuterium tokamak plasma has electron density in a field

PHYSICS · Multi-part · Fermi University Physics · Plasma Physics · Waves in plasmas · Waves in plasmas

Plasma Physics, Ch Cold magnetised plasma waves: the dielectric tensor, cutoffs, resonances and the CMA diagram

Problem

A deuterium tokamak plasma has electron density

n_e = 5.0\times10^{19}\,\mathrm{m^{-3}}

in a field

B_0 = 3.0\,\mathrm{T}

, with deuteron mass

m_D = 2m_p

(

m_p

the proton mass). Neglecting the ion terms except where they set the lower hybrid frequency, calculate: ((a)) the upper hybrid frequency

f_{UH} = (f_{pe}^2 + f_{ce}^2)^{1/2}

; ((b)) the lower hybrid frequency

f_{LH}

from

1/f_{LH}^2 = 1/(f_{ci}^2+f_{pi}^2) + 1/(f_{ci}f_{ce})

, where

f_{ci}

and

f_{pi}

are the deuteron cyclotron and plasma frequencies.