We have obtained the spectral and spatial field correlation functions, C-E(
Delta omega) and C-E(Deltax) respectively, from measurement of the microwav
e field spectrum at a series of points along a line on the output of a rand
om dielectric medium. C-E(Delta omega) and C-E(Deltax) are shown to be the
Fourier transforms, respectively, of the time of Right distribution, obtain
ed from pulsed measurements, and of the specific intensity. Unlike C-E(Delt
a omega), the imaginary part of C-E(Deltax) is shown to vanish as a result
of the isotropy of the correlation function in the output plane. The comple
x square of the field correlation function gives the short-range or C-1 con
tribution to the intensity correlation function C. Longer-range contributio
ns to the intensity correlation function are obtained directly by subtracti
ng C-1 from C and are in good agreement with theory.