The absorption coefficient and absorption cross-section of an ensemble of different shape ellipsoidal metallic particles, in dielectric host material

Abstract

The effects of particle shape on the polarizability, absorption coefficient, and absorption cross sections of randomly oriented particles as the function of distribution function are studied in the Rayleigh limit. In particular, the validity of the so-called statistical approach are investigated. In this approach it is assumed that the scattering and absorption properties of irregularly shaped particles can be simulated by the average properties of a distribution of simple shapes. Polarizability, absorption coefficient, and the absorption cross sections as functions of distribution function of ellipsoidal metallic particles are compared one another. Moreover, the imaginary part of polarizability, absorption coefficient and absorption cross-section as the function of distribution function are derived analytically. As the result, the imaginary part of polarizability, absorption cross-section and absorption coefficient versus frequency curve of different shapes of nano-ellipsoidal metallic dielectric host materials by varying distribution function parameter (δ) with the constant value of relative phonon damping constant (Γ) are explained. And also by varying relative phonon damping constant (Γ) with the constant value of distribution function parameter (δ) are described. The polarizability, absorption coefficient and absorption cross-section; versus frequency curve with the variation of distribution parameter delta (δ) and damping constant(Γ)are studied graphically. In general, the effect of distribution function parameter (δ) and relative phonon damping constant (Γ) on polarizability, absorption coefficient and absorption cross-section of ellipsoidal metallic particles are discussed briefly by using graphs.