Mie scattering used to determine spherical bubble oscillations

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Abstract
Linearly polarized laser light is scattered from an oscillating, acoustically levitated bubble, and the scattered intensity is measured with a suitable photodetector. The output photodetector current is converted into a voltage and digitized. For spherical bubbles, the scattered intensity Irel(R,θ,t) as a function of radius R and angle θ is calculated theoretically by solving the boundary value problem (Mie theory) for the water–bubble interface. The inverse transfer function R(I) is obtained by integrating over the photodetector solid angle centered at some constant θ. Using R(I) as a look-up table, the radius vs time [R(t)] response is calculated from the measured intensity vs time [Iexp(R,t)].