We have obtained the spectral and spatial field correlation functions, [Formula Presented] and [Formula Presented] respectively, from measurement of the microwave field spectrum at a series of points along a line on the output of a random dielectric medium. [Formula Presented] and [Formula Presented] are shown to be the Fourier transforms, respectively, of the time of flight distribution, obtained from pulsed measurements, and of the specific intensity. Unlike [Formula Presented] the imaginary part of [Formula Presented] is shown to vanish as a result of the isotropy of the correlation function in the output plane. The complex square of the field correlation function gives the short-range or [Formula Presented] contribution to the intensity correlation function C. Longer-range contributions to the intensity correlation function are obtained directly by subtracting [Formula Presented] from C and are in good agreement with theory.