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Mie theory: Ripple and optical resonances |
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Fig. 1. The fine structure of the attenuation efficiency, Qc as a function of the relative particle size at a constant wavelength. The curves represent (from top to bottom at x = 130) attenuation efficiencies of: a spherical water droplet in air (sharp, line-like peaks, i.e. optical resonances are clearly visible; relative refractive index, m = 1.33 - 0i; wavelength, λ ~0.7 µm), a carbon sphere in air (sharp resonance peaks and low-frequency oscillations are completely suppressed by absorption of light, m = 1.95 - 0.79, λ = 0.55 µm), and a spherical air bubble in water (low-frequency oscillations are present but resonances are absent). All efficiencies were calculated at a resolution of 0.005 in the relative size, x. At this resolution only some of the resonances in the attenuation efficiency for the water sphere in air could be resolved. To resolve all resonances, one would need to use a resolution of 10-7 in the relative particle size (Chý1ek et al 1978). The results shown here have been obtained with the MJC Light Scattering Calculator for Homogeneous Spheres. This Windows-based program utilizes the downward recursion for An function with the initial value calculated by using the Lentz algorithm (Lentz 1976). See Algorithms for functions of the sphere size and refractive index and the program's help file for more detail.
| CITATION: Jonasz M. 2006. Mie theory: Ripple and optical resonances (www.tpdsci.com/Tpc/MieOptRes.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 24-Mar-2006 Modified: 04-Apr-2006 Peer-reviewed: 24-Mar-2006 |
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