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| Mie theory: Size-dependent patterns - dominant oscillation frequency vs. scattering angle - moderate refractive index | Click the browser's "Back" button to return to topic Parent topic |
Fig. 3b. Major frequency components (magnitude ≥ 0.05) in the spectra (Fig. 2b) of the M11(x, θ ) element of the scattering matrix according to Mie theory as a function of the scattering angle, θ, for microspheres with a relative refractive indices of 1.19 (polystyrene in water, blue symbols and lines). Results of Fourier analysis (symbols) were obtained for a sample of M11 in a range of the relative particle size, x, of 99 to 201.4, at a resolution Δx = 0.1. That range is well beyond the first maximum of M11 as a function of x. The blue lines correspond to linear regressions at m = 1.19. See Table 1 for the regression coefficients. For comparison, regression lines for m = 1.05 (green) and 1.33 (light blue) are also shown. As opposed to the case of low refractive indices (Fig. 3a) these lines for the higher values of the refractive index merely outline a low frequency-limit of the dominant frequency components. The results shown here imply that when integrating a M11(x) pattern for a moderate to high refractive index of microspheres, an integration step in x might need to be selected for each angle separately. The element M11 was calculated with the MJC Light Scattering Calculator for Homogeneous Spheres.
| CITATION: Jonasz M. 2006. Mie theory: Fourier analysis of particle size-dependent patterns (www.tpdsci.com/Tpc/MiePtnSzFT.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 03-Mar-2006 Modified: 02-May-2007 Peer-reviewed: PENDING |
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