Topics in Particle and Dispersion Science

Mie theory: Size-dependent patterns in the small-size limit

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Fig. 1. Attenuation efficiency, Q_c, as a function of the relative particle size, x, for a wavelength of 0.55 µm (in air) for the small-particle size range where the Rayleigh scattering approximation applies. The top black curve (at x = 1) represents the attenuation efficiency, as predicted by Mie theory for voidless carbon spheres in air (top, m = 1.95 - 0.79i). The lower black curve represents the attenuation efficiency for spherical seawater (salinity of 35.5) droplets in air (relative refractive index m = 1.343 - 0i). Gray curves represent the Rayleigh approximation. Note a transition at about x ~ 0.5 in the Rayleigh approximation for the carbon particle (top gray curve) between a size dependency of ~x (absorption dominates the attenuation) and ~x⁴ (scattering dominates). The Rayleigh approximation for the non-absorbing water droplet (bottom gray line) follows the ~x⁴ law in the entire applicable size range. The Mie efficiencies were calculated with the MJC Light Scattering Calculator for Homogeneous Spheres. The Rayleigh approximations were calculated by using Eq. 3 (for the non-absorbing seawater droplets) and by summing Eq. 3 and Eq. 5 (for the absorbing carbon spheres) in Equations for the small-particle limit

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: 03-Mar-2006 Modified: 08-Jun-2006 Peer-reviewed: PENDING

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