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| Mie theory: Frequency spectra of M11(x) - a low relative refractive index | Click the browser's "Back" button to return to topic Parent topic |
Fig. 2a. Frequency spectra (arbitrary units) in the relative particle size, x, of the element M11(x, θ ) of the scattering matrix in Mie theory at selected scattering angles, θ, for microspheres with a relative refractive index, m = 1.05. Each curve, offset upwards by 0.5 for better visibility, represents a spectrum at a single value of θ (0° to 180°, every 10°, from top to bottom). Results shown here are based on Fourier analysis of samples of M11 at these scattering angles for a range of x = 99 to 201.4, at a resolution of Δx = 0.1. This range is located well beyond the first maximum of M11 as a function of x. The dependency of the major frequency components of these spectra on the scattering angle is shown in Fig. 3a as a function of the scattering angle. The spacing of Δx = 0.1 limits the maximum frequency (i.e. the Nyquist frequency, for example, Press et al 1988, p. 500, Ch. 12-1) of these spectra to 1 / (2Δx) = 5. Each spectrum continues essentially at the baseline beyond the maximum frequency shown in the graph. Note a "reflection" of the lowest dominant frequency component about a scattering angle of 90° (middle of the y-axis of the graph between 4 and 5). Such a feature is absent in a corresponding graph for a yet lower refractive index (m = 1.02, see also Table 1). 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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