  We show theoretically that electromagnetic waves propagating in the
transparency region of a non-centrosymmetric medium can induce a dc electric
current. The origin of the effect is the Raman scattering of light by free
carriers in the system. Due to the photon scattering, electrons undergo real
quantum transitions resulting in the formation of their anisotropic momentum
distribution and in shifts of electronic wavepackets giving rise to a steady
state photocurrent. We present microscopic theory of the Raman Photogalvanic
effect (RPGE) focusing on two specific situations: (i) generic case of a bulk
gyrotropic semiconductor and (ii) a quantum well structure where the light is
scattered by intersubband excitations. We uncover the relation of the predicted
RPGE and the traditional photogalvanic effect at the light absorption.
