An improved method used to determine the absorption and scattering characteristics of a weakly absorbing substance containing bubbles is suggested. The identification procedure is based on a combination of directional-hemispherical measurements and predictions of Mie-scattering theory including approximate relations for a medium with polydisperse bubbles. A modified two-flux approximation is suggested for the calculation of directional-hemispherical transmittance and reflectance of a refracting and scattering medium. The complete identification procedure gives not only the spectral radiative properties but also the volume fraction of bubbles and the characteristics of possible impurity of the medium. This procedure is used to obtain new data on near-infrared properties of fused-quartz samples containing bubbles.
© 2005 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: January 21, 2005
Revised Manuscript: June 20, 2005
Manuscript Accepted: June 22, 2005
Published: November 20, 2005
Leonid Dombrovsky, Jaona Randrianalisoa, Dominique Baillis, and Laurent Pilon, "Use of Mie theory to analyze experimental data to identify infrared properties of fused quartz containing bubbles," Appl. Opt. 44, 7021-7031 (2005)