Fourier-transform heterodyne spectroscopy is a simple but powerful tec
hnique to study narrow line shapes and small frequency shifts. We revi
ew the technique and its application to the study of hydrodynamic fluc
tuations. We introduce a simple scheme for obtaining the full spectrum
of light scattered from liquid and solid surfaces. Using this scheme
we obtained a spectral resolution of 200 mu Hz. Two applications of th
e technique, one involving the detection of counter-propagating capill
ary waves, the other measurement of the epitaxial crystal-growth speed
of a crystalline silicon interface, are presented.