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Calculation method for scattering cross section of a dielectric sphere considering resonance phenomena

1981; Wiley; Volume: 64; Issue: 1 Linguagem: Inglês

10.1002/ecja.4410640110

8756-6621

T. Ando,

Scientific Research and Discoveries

Abstract The scattering cross section of the dielectric sphere was expressed in infinite series by Stratton. However, this series is difficult to calculate. In the conventional calculation, the applicable ranges of parameters are limited and the number of terms required for infinite series calculation is not clear. Further, the relation between the resonance of dielectric spheres proposes a new calculation method. The fundamental nature of the resonance of the dielectric sphere is discussed and calculation methods for spherical Bessel functions of complex variables and spherical Hankel functions required for scattering cross‐section calculations are presented. The resonance characteristics of the dielectric sphere are calculated with various parameters and the method of determining the number of terms in the calculation of infinite series is examined. This method is applicable for the calculation of scattering wave from the infinite dielectric cylinder.