Abstract
A detailed theoretical study on dielectric function of a three-dimensional electron gas (3DEG), subject to linearly polarized intense laser field and to strong static magnetic field, is presented. Using the Green's-function approach, I have derived the density-density correlation function and the random-phase-approximation dielectric function for a 3DEG in t and \ensuremath{\Omega} representation. It is found that in the presence of intense terahertz laser field, the dielectric function of an electron gas depends strongly on frequency and intensity of the electromagnetic radiation. A number of important radiation effects, pertinent to the application of the free-electron laser sources developed recently, are presented and discussed.
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