S-approximation for spherical particles with a complex refractive index
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The approximation of optically soft particles (S-approximation) for components of electromagnetic field and efficiency factors is considered within the framework of the problem of diffraction of a plane electromagnetic wave at a sphere. Representations for the efficiency factors of scattering and absorption are obtained in the Rayleigh-Gans approximation for weakly absorbing particles with the help of the S-approximation. The proposed modification of the S-approximation with consideration for the short-wavelength asymptotics for field components allows the factors of extinction efficiency to be accurately calculated for large spheres with a complex refractive index m=n−ik, where 1≤n≤2 and 0≤k≤0.5.
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