A new and highly effective approach for calculating the Mie series

Abstract

In this paper, a new and highly effective approach for calculating the Mie series under high frequency condition is introduced. Using the approach, the traditional Mie series is transferred to a new residue series based on a series of mathematic transformation and a novel derivation is presented. The derivation shows that compared with the traditional solution of Mie series and the solution derived from Sommerfeld-Watson transformation, the new approach exhibits a clear physics concept, the number of the summation terms required by calculation is greatly reduced compared with the traditional Mie series solution. Simulation results show that the new approach is well agreement with the traditional solution.