An Evaluation of Surface Response Function Re {d_┴ (ω)} and y (ω) for rs = 4 with Surface Damping rs = 0.3 ω p and 0.15 ω p

Abstract

INTRODUCTION Phenomenological approach attempt to use knowledge of the bulk response. This leeds to the long standing problem of additional boundary condition in phenomenological optics. Then, one develops green's functions for an extended hydrodynamic model. Here, one consider hydrodynamic model with spatial dispersion in both the longitudinal and the transversal response function. One develops the relation between ABC and nonlocal conductivity of the surface problem. For the homogeneous bulk system, the conductivity tensor gives longitudinal and transverse conductivities. The poles of this conductivity determine Eigen solutions of the ⃖ ⃗ ̅ = 0 where ⃖ ⃗ is a differential operator containing spatial derivative. To study optical response, one has are another model called the specular reflection model, In this model the conduction electron are specularly reflected at the surface plan. This system responds like one side of a homogenous system with a mirror plane for all properties and also for the existing fields. On a