Wave propagation in a weak random medium has generally been understood to give rise to lognormal field statistics, and first Born approximation of log amplitude and phase. Yet no derivation of the field probability distribution seems to exist; only an inference. The moments of the field (not just the amplitude) are derived from moment equations, and from these it is shown that extra terms must be identified with phase and amplitude in the customary representation of the field.
© 1978 Optical Society of America
D. A. de Wolf, "Waves in random media: Weak scattering reconsidered," J. Opt. Soc. Am. 68, 475-479 (1978)