## Comparisons of bidirectional reflectance distribution function measurements on prepared particulate surfaces and radiative-transfer models

Applied Optics, Vol. 44, Issue 4, pp. 597-610 (2005)

http://dx.doi.org/10.1364/AO.44.000597

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### Abstract

To understand the connection between single-particle optics and the optics of a closely packed surface, controlled laboratory measurements of bidirectional reflectance distribution functions on layers of polymer and glass spheres are carried out. The measurements are compared with predictions from five radiative-transfer models; the Hapke's models, the Lumme-Bowell model, the BRF algorithm of Mishchenko et al., and the discrete ordinate radiative transfer. It is found that models of strict numerical radiative-transfer equations (RTEs) predict measurements well in some regions but have errors in both forward-and backward-scattering directions. The improved Hapke's model, although it has an anisotropic multiple-scattering term, still produces considerable errors compared with the strict RTE. The difference can be attributed to the exclusion of a diffraction contribution in the Hapke model.

© 2005 Optical Society of America

**OCIS Codes**

(010.4450) Atmospheric and oceanic optics : Oceanic optics

(030.5620) Coherence and statistical optics : Radiative transfer

(280.0280) Remote sensing and sensors : Remote sensing and sensors

(290.4210) Scattering : Multiple scattering

(290.5850) Scattering : Scattering, particles

(300.0300) Spectroscopy : Spectroscopy

**Citation**

Hao Zhang and Kenneth J. Voss, "Comparisons of bidirectional reflectance distribution function measurements
on prepared particulate surfaces and radiative-transfer models," Appl. Opt. **44**, 597-610 (2005)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-4-597

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