The speeds of propagation and polarization amplitudes are presented fo
r finite amplitude plane shear waves propagating in rubber which is ma
intained in a state of static finite simple shear. The Mooney-Rivlin f
orm of the stored-energy function is used to model the mechanical beha
viour of the material. General relations are obtained between the spee
d of propagation of the fastest and slowest waves and the speed of pro
pagation of the finite amplitude circularly polarized waves which may
propagate along the acoustic axes. The slowness and ray surfaces are a
lso presented.