Vv. Kocharovsky et al., EFFECTS OF THE SPATIAL-DISPERSION AND INSTABILITIES IN THE WAVE ELECTRODYNAMICS OF WEAKLY IONIZED-GASES, Computers & mathematics with applications, 34(7-8), 1997, pp. 807-844
The complex spectra of transverse and longitudinal modes in the conduc
ting gas of two-level (or quasi-classical) molecules are found, taking
into account the spatial dispersion due to the thermal motion of mole
cules. Conditions for the existence of weakly damping longitudinal wav
es and transverse polarization waves, as well as of electromagnetic wa
ves with the dispersion law much different from the ''vacuum'' dispers
ion law (which is well known in spectroscopy as the Voyght one and inc
ludes Doppler broadening according to the perturbation theory) are spe
cified. The collisionless damping modes (on the wings of the Doppler l
ine) with the dispersion law determined by the zeroes of the complex e
rror function are studied. The analogy with the collisionless Landau d
amping of the Langmuir waves in electron plasma is established. It is
shown that, in the neutral gas of excited molecules, the longitudinal
and transverse polarization waves possess negative energy and may lead
to the dissipative and beam-type instabilities.