In this paper, I present a detailed theoretical study on how a nanostructur
e, such as a semiconductor-based two-dimensional electron gas (2DEG), inter
acts with a linearly polarised intense laser field. A tractable method in d
ealing with the time-dependent many-body problem has been developed, from w
hich the electron Green's function, the electron density-density correlatio
n function and the inverse dielectric function matrix for a 2DEG driven by
intense laser fields have been obtained. Using these results, the influence
of terahertz laser radiation on dynamical properties such as plasmon and o
ptical spectra in a 2DEG is investigated. The results obtained from this st
udy can be used for the case where the intense terahertz radiation is provi
ded by recently developed free-electron laser sources.