Asymptotic behavior of the scattering solutions for a multilayered sphere

The asymptotic behavior of the scattering solutions for a point source radiating in the presence of a N-layered sphere is studied. A spectral integral representation is used to represent the potentials and the fields. The scattering solutions are approximated by the residue series arising from the poles of the integrand in the complex-order plane (v-plane). A diffraction factor D₀ (v_p) is used to determine the significance of each pole in the evaluation of the scattering solutions. Numerical results illustrate the dependence of D₀(ν_p) on the geometric parameters and material properties. Results for multilayered cylinders are included for comparison