Volume 6 Issue 5
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Yu, H., Shen, J., & Wei, Y. (2008). Geometrical optics approximation of light scattering by large air bubbles. Particuology, 6(5), 340–346. https://doi.org/10.1016/j.partic.2008.07.003
Geometrical optics approximation of light scattering by large air bubbles
Haitao Yu, Jianqi Shen *, Yuehuan Wei
University of Shanghai for Science and Technology, Shanghai 200093, China
10.1016/j.partic.2008.07.003
Volume 6, Issue 5, October 2008, Pages 340-346
Received 12 April 2008, Accepted 9 July 2008, Available online 7 September 2008.
E-mail: shenjq@online.sh.cn

Highlights
Abstract

For large spherical bubbles in water, geometrical optics approximation is considered a better method for calculating light scattering patterns. In this paper, the basic theory of geometrical optics approximation is clarified. The change of phase for bubbles is calculated when total reflection occurs, which is different from particles with relative refractive indices larger than 1. Verification of the method was achieved by assuming a spherical particle and comparing present results to Mie scattering and Debye calculation. Agreement with the Mie theory was excellent in all directions when the dimensionless size parameter is larger than 50. Limitations of the geometrical optics approximation are also discussed.

Graphical abstract
Keywords
Geometrical optics approximation; Light scattering; Total reflection