We introduce a method for using dynamic light scattering to measure th
e frequency-dependent linear viscoelastic moduli of complex fluids. Th
e technique exploits the fluctuation dissipation theorem, which relate
s the relaxation of thermal excitations of a probe particle to the vis
coelastic properties of the surrounding medium. The relaxation of the
thermal excitations of probe particles are determined by measuring the
time evolution of the mean square displacement using dynamic light sc
attering. A Langevin equation with a time-dependent damping term is us
ed to relate this mean square displacement to the dynamic shear modulu
s of the medium. This method probes the linear viscoelastic moduli ove
r a much larger frequency range than traditional mechanical means, and
in particular, easily extends their measurement to much higher freque
ncies.