Abstract

The diffusion equation derived from the space–time transport equation, in contrast to the conventional diffusion equation, should have a diffusion coefficient perfectly independent of the attenuation coefficient, γab, without any constraint on the magnitude of γab and also on its possible spatial inhomogeneity; however, in the case of time-independent diffusion equations, including those for intensity-modulated density waves, such parameters are subjected to constraints including both γab and the modulation frequency. Basic equations for a fixed scatterer embedded in the random medium are presented with reference to previous papers, with some applications. A previous expression for integrated attenuation in a slowly changing medium of γab is improved to be valid to second order of γab for a temporal pulse wave and to first order for an intensity-modulated wave.

© 1997 Optical Society of America

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