A method is presented to calculate the nonlinear mobility of a Frohlic
h polaron in high electric fields for arbitrary strength of the electr
on-phonon coupling. It is based on an eikonal expansion of the exact F
eynman influence functional for the nonequilibrium Wigner distribution
function. The method becomes exact both in linear response and for la
rge transport velocities. The nonlinear mobility is obtained from a mo
mentum balance equation containing a systematic frictional force and t
he field-dependent fluctuations due to the eliminated phonon degrees o
f freedom. For weak coupling we recover the standard results of Stratt
on and Conwell. For strong coupling, however, the current-voltage char
acteristics are quite different from those obtained by Thornber and Fe
ynman. Our results are in good agreement with measurements of high-fie
ld transport in InSb and AgCl.