SCATTERING WIDTH OF THE SPHERICAL SHELL FILLED WITH DIELECTRIC MATERIAL IN NID SPACE

Abstract

In this paper, we have studied the effect on spherical shell of dielectric material analytically in fractional dimensional space. Here, the spherical shell has been considered as nanoparticle. The exact solution has been obtained in non integer dimensional space from the laplacian differential equation. This is a boundary value problem that is solved by separation variable method taking low frequency  Electric potential and cross section of the spherical shell is obtained in fractional dimensional space for the three regions, namely outside the spherical shell, between shell and hollow sphere and inside the sphere. Also the induced dipole moment is derived. This general solution reduces to the classical results by setting fractional parameter  which takes its value .