Topics in Particle and Dispersion Science

Mie theory: Size-dependent patterns as functions of the phase shift

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Fig. 3. Effect of the phase shift parameter, ρ, at a fixed wavelength (0.55 µm in air) on the attenuation efficiency, Q_c, and absorption efficiency, Q_a of a microsphere according to Mie theory. The attenuation efficiency is shown for a spherical seawater droplet in air (oscillating light blue curve with a high frequency ripple, salinity of 35.5, relative refractive index, m = 1.343 - 0i, Δx ~ 0.1), a spherical air bubble in seawater (oscillating gray curve, m = 0.745, Δx ~ 1), and a voidless carbon sphere in air (smooth black curve, m = 1.95 - 0.79i, Δx varies from 0.01 to 1). The absorption efficiency for carbon in air is shown with the orange curve. Absorption efficiencies for the two other cases vanish because the refractive indices of the particles are real. All efficiencies were calculated with the MJC Light Scattering Calculator for Homogeneous Spheres. Note that plotting the efficiencies as functions of the phase shift parameter reveals regularities in the size-dependent Mie patterns: the oscillations in the patterns are aligned as compared to those in Fig. 2. The oscillations are not aligned, however, in the size dependencies of the angular patterns if the latter are plotted vs. the phase shift parameter (Fig. 4).

CITATION: Jonasz M. 2006. Mie theory: Particle size-dependent patterns (www.tpdsci.com/Tpc/MiePtnSz.php). In: Top. Part. Disp. Sci. (www.tpdsci.com).

HISTORY: Published: 08-Jun-2006 Modified: 08-Jun-2006 Peer-reviewed: PENDING

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