We derive two mathematical relations between quantitative phase images of thin slices of inhomogeneous media and the scattering parameters of the bulk, i.e., scattering mean free path, $l_s$ , and anisotropy factor, g. The $l_s$ turns out to be inversely proportional to the spatial variance of the phase shift, and g is related to the variance of the phase gradient. These formulas, referred collectively to as the scattering-phase theorem, allow for extracting $l_s$ and g in a spatially resolved manner and across an entire tissue section, that is, mapping large cross sections of tissues in terms of $l_s$ and g.

© 2011 Optical Society of America

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