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| Mie theory: Size-dependent patterns - dominant oscillation frequency vs. scattering angle - low refractive index | Click the browser's "Back" button to return to topic Parent topic |
Fig. 3a. Major frequency components (magnitude ≥ 0.05) in the frequency spectra (Fig. 2a) of the element M11(x, θ ) of the scattering matrix according to Mie theory as a function of the scattering angle, θ, for microspheres with a relative refractive index, m = 1.05 (green symbols and line). Results of the 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. This range is well beyond the first maximum of M11 as a function of x. The green lines correspond to linear regressions at m = 1.05. See Table 1 for the regression coefficients. For comparison, regression lines at m = 1.02 (red) and 1.19 (blue) are also shown. Note that such a regression line indicates a relatively "safe" prescription for an integration step in x (given the x resolution used here). An interesting feature of the graph is a "reflection" of a frequency branch about 90°, also seen in Fig. 2a for the minimum dominant frequency. Such a mirror branch is absent at a low refractive index of 1.02. 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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