Abstract
Electromagnetic scattering and absorption of multilayered spheres illuminated by a plane wave or a shaped beam are important issues because of the extensively applications. However, computation of the internal fields suffers from several difficulties, especially when the sphere contains strongly-absorbing layers. In the paper, reformulation of expressions of electromagnetic fields are made, by replacing the unnormalized associated Legendre functions and the Riccati-Bessel functions with the normalized associated Legendre functions and the ratios of Riccati-Bessel functions. Thus, the beam shape coefficients and the Mie coefficients are redefined. An improved recurrence algorithm is presented for calculating the redefined Mie coefficients and numerical calculations are performed for exemplifying the algorithm. It is numerically shown that the reformulation of expressions rescales the involved quantities into the reasonable ranges for machine calculation and the modified algorithm is robust, reliable and efficient.
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