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Near-field scattering by a spheroid

Approximation of VSF by a statistics-based method
Fig. 1. Electric field distribution (left - the squared magnitude of the total electric field, center - its longitudinal, and right - tranverse components) in the incidence plane of an oblate spheroid (marked in the outer panels by a white dash-dot outline) with a real refractive index of 1.33 relative to the surrounding medium, a size parameter C = πd/λ = 7, and an aspect ratio b/a = 2, where d is the interfocal distance of the spheroid, b and a are, respectively, its minor and major axes, and λ is the wavelength of light in the medium (Mendes MJ et al 2010). Req is the radius of the volume-equivalent sphere, in the unit of λ. V (center panel) is the electrostatic potential at the spheroid surface. Iθ (right panel) is the far-field intensity of scattered light. The circular dots in the Iθ curve correspond to the values obtained by Asano S and Yamamoto 1975. The field distributions were calculated analytically by using a separation-of-variables method in spheroidal coordinates (Li LW et al 2002) and assuming axially incident monochromatic illumination.
The highest scattered field occurs in the forward (incidence) direction outside the spheroid. The high field region extends over a distance that is above ten times the spheroid size (see also Figure 10 of Mendes MJ et al 2010).   The figure reproduced by permission from Mendes MJ et al 2010 with minor modifications. [MJM]
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