Exponential Rule for Light-Scattering Sizing of Bubbles or Drops

概要

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Numerical calculations of Mie scattering have shown that the radius $a$ of a bubble in water, e.g., that of a sonoluminescing one, can be given from the scattered light intensity $I$ by $a\propto I^{\alpha}$, where for vertical linear polarized light $\alpha$ is 0.44 at a scattering angle of 80° and 0.48 between 90 and 100°. For unpolarized light, $\alpha$ is 0.42 at 80° and 0.47 between 90 and 100°. This exponential relationship is found to hold in many other systems, including bubbles in organic liquids and drops in air, but the applicable range depends on refractive index and absorption. The existence of light absorption may alter the applicability of the rule significantly.
Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
2005-09-15