We study both experimentally and theoretically the losses induced by parame
tric excitation in far-off-resonance optical lattices. The atoms confined i
n a one-dimensional sinusoidal lattice present an excitation spectrum and d
ynamics substantially different from those expected for a harmonic potentia
l. We develop a model based on the actual atomic Hamiltonian in the lattice
and we introduce semiempirically a broadening of the width of lattice ener
gy bands which can physically arise from inhomogeneities and fluctuations o
f the lattice, and also from atomic collisions. The position and strength o
f the parametric resonances and the evolution of the number of trapped atom
s are satisfactorily described by our model.