We present a theoretical investigation of the excitation density induc
ed in the conduction band of alpha-quartz by an intense laser field in
the TW/cm2 regime using the Maxwell time-independent propagation equa
tion. Competition between two-photon absorption (TPA), self-focusing p
rocess (SFP), free-carriers defocusing process (FCDFP), Drude losses,
and its consequences on the excitation density are analysed in detail.