When a time harmonic electromagnetic wave impinges on a slab a certain
portion of the wave creates heat within the slab through dipolar and
ohmic heating. The electrical and thermal properties of the material d
ictate the dynamical nature of the heating process, as well as the ste
ady-state temperature profile. The material considered here is a slab
of fluid. We consider the case where the fluid is bounded by thin rigi
d layers of transparent material. The steady-state heating profile gov
erns the types of convective motions that can occur and also affects t
he stability characteristics of temperature, pressure and velocity per
turbations introduced in the slab. The main objective here is to exami
ne such stability characteristics, initially in the linear regime. Bot
h rigid-rigid and rigid-free configurations are considered.