In this paper we present a fast analytical approach based on Lorenz-Mie the
ory, which allows us to determine the unknown shell and core radii of two-l
ayered microparticles with refractive indices of 1.0 lair) of the core and
1.5 of the shell, e.g., polymer-coated air bubbles. For this to be achieved
, a single particle has to be illuminated (sequentially) both with monochro
matic laser light and with a white light source, and the scattered light in
tensity has to be recorded as a function of the scattering angle in the ran
ge from 0 degrees to 170 degrees. Using the autocorrelation and the Fourier
transformation of these phase functions, one can deduce the unknown inner
and outer radii by comparison with theoretically calculated gauge curves.