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Numerical studies (for example, Chılek P et al 1985, Conwell PR et al 1984a) and observations (for example, Ashkin A and Dziedzic 1981, Ashkin A and Dziedzic 1977) of the spatial distribution of the electromagnetic power in the immediate vicinity of the sphere surface at optical resonance conditions indicate a substantial concentration of that power along the sphere surface. Interestingly, Sorensen CM and Fishchbach 2000 have shown that, in the first approximation, a power-law-like envelope of the Mie angular patterns plotted vs. the dimensionless product qa, where q is the magnitude of the scattering vector and a is the sphere radius, can be explained by assuming that the electromagnetic field is localized within a thin shell at the sphere surface.
Under the resonance conditions, the power density near the sphere surface may be several orders of magnitude greater than that far from the surface (both inside and outside the sphere). Thus, the optical resonances are sometimes referred to as manifestations of surface electromagnetic waves (for example, Lee KM et al 1998, Ashkin A and Dziedzic 1981, Chılek P et al 1980, Ashkin A and Dziedzic 1977). See Han X et al 2001 for a numerical and experimental study of frequency spectra of surface-waves related oscillations in angular patterns of the intensity of light scattered by water droplets, as well as Hovenac EA and Lock 1992 for a comprehensive discussion of the surface waves in the context of the Debye series formulation of Mie theory.
| CITATION: Jonasz M. 2006. Mie theory: Optical resonances and "surface waves" (www.tpdsci.com/Tpc/MieOptResSfcWv.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 21-Mar-2006 Modified: 30-Jun-2006 Peer-reviewed: 07-Dec-2006 |
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