“…The Mie coefficients a k and b k are calculated by the formulas [9] ( 35) where (36) In formulas (33)-(36), x′ = 2πa′/λ, x′′ = 2πa′′/λ, the quantities m′ = n′ -iκ′ and m′′ = n′′ -iκ′′ are complex refractive indexes of the core and shell, and the functions α k , β k , and γ k are expressed in terms of the Riccati-Bessel functions [9]. As was demonstrated in [45], formulas (35) and (36) for the Mie coefficients may also be used in the case where the medium surrounding the particle refracts and absorbs radiation. With an arbitrary value of the complex refractive index of the surrounding medium m 0 = n 0 -iκ 0 , it is sufficient to replace the diffraction parameters x′ and x′′ by the complex quantities and , and the complex refractive indexes m′ and m′′ by the relative quantities and .…”