The effective static dielectric constant of an electron plasma system in the simultaneous presence of two electromagnetic waves and a strong DC magnetic field is calculated. It is found that as the difference ∆ω of the two electromagnetic wave frequencies matches the plasma frequency ωρ a breakdown in screening occurs thereby increasing the plasma heating rate via the external fields due to inverse Bremmstrahlung. An application is made by considering the typical parameters of a hot plasma.
From the quantum mechanical viewpoint we derive the dielectric function of an electron plasma system in the presence of a radiation field. By using timedependent wavefunctions for plasma electrons under the external ac field, we calculate the charge density fluctuation of the electronic system under a weak probing potential and the spectrum of the collective excitation is calculated and found to be strongly dependent upon the amplitude and frequency of the radiation field. We show, in the classical limit, that the reduction of the collective excitation frequency under the radiation field can be associated with the suppression of the plasma high-frequency reactive electrical conductivity. The result is consistent with the recent experimental observation of increased high-frequency mobility in two-dimensional electron gases under a radiation field.
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