We calculate the nonlinear free-carrier absorption coefficient of an intens
e terahertz (THz) electromagnetic wave propagating in a hulk semiconductor
and the absorption percentage when an intense THz radiation passes through
a quasi-two-dimensional (2D) sheet, with the help of the balance-equation a
pproach to hot-electron transport in semiconductors subject to an intense h
igh-frequency field. We find that at frequency around 1 THz, the absorption
coefficient in a bulk GaAs system increases with increasing amplitude of t
he radiation field from zero and reaches a maximum at around 8 kV cm(-1) be
fore decreasing quickly with further increase of the field strength. The ab
sorption percentage of a quasi-2D system exhibits an even stronger nonlinea
rity than that of a three-dimensional hulk. It is shown that high-order mul
tiphoton processes play a major role in determining the absorption of an in
tense THz field.