Relationship of light scattering at an angle in the backward direction to the backscattering coefficient

Emmanuel Boss and W. Scott Pegau

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Abstract

We revisit the problem of computing the backscattering coefficientbased on the measurement of scattering at one angle in the backdirection. Our approach uses theory and new observations of thevolume scattering function (VSF) to evaluate the choice of angleused to estimateb_b. We add to previousstudies by explicitly treating the molecular backscattering of water(b_bw) and its contribution to the VSF shapeand tob_b. We find that there are tworeasons for the tight correlation between observed scattering near120° and the backscattering coefficient reported by Oishi [Appl. Opt.29, 4658, (1990)], namely, that (1) the shapeof the VSF of particles (normalized to the backscattering) does notvary much near that angle for particle assemblages of differing opticalproperties and size, and (2) the ratio of the VSF to thebackscattering is not sensitive to the contribution by water near thisangle. We provide a method to correct for the water contribution tobackscattering when single-angle measurements are used in the backdirection (for angles spanning from near 90° to 160°) thatshould provide improved estimates of the backscatteringcoefficient.

© 2001 Optical Society of America

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Equations (10)

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