Nonlinear Optical properties of ZnO cylindrical quantum wire using parabolic confining potential

Abstract

One of the most intensively explored classes of semiconductor structures is the class of quantum wires. With the advances in semiconductor growth techniques it is possible to fabricate quantum wires of different sizes and geometries from different materials. Cylindrical quantum wire made of ZnO is one of such geometries. This cylindrical structure can be described using a parabolic potential model. In this study the energy eigenvalue of restricted electrons was calculated for ZnO cylindrical quantum wire. Using this energy eigenvalue the nonlinear optical properties such as susceptibility, index of refraction and absorption coefficient were investigated with the help of density matrix formalism. From the result of this study the change in index of refraction ∆n(ω) and absorption coefficient ∆β(ω) were calculated numerically and represented graphiclly. The changes in both cases are the difference of nonlinear and linear. The changes are very large and nonlinear, in general, this tells us our case material(ZnO cylindrical quantum wire) exhibits nonlinear optical properties.