Optical rectification and second order nonlinear optical properties of zinc oxide parabolic quantum well with applied electric field

Abstract

In this thesis, the Hamiltonian and wave functions of parabolic quantum wells with applied electric field are developed. Then the Schrodinger ¨ equation is solved analytically and numerically for determining the energy eigenvalue using variational method. The energy eigenvalues are decreasing with the increment of an applied electric field. However, the energy spacing between two states are constant. By using the compact-density matrix formalism and iterative procedure, the optical rectification χ(2) 0 is calculated for the parabolic quantum wells. Numerical results show that, optical rectification (OR) coefficient is strongly affected by the magnitude of applied electric field. The magnitude of optical rectification was decreasing with the increment of the magnitude of applied electric field F. Furthermore, the phenomenological damping constant has a great influence on second-order nonlinear optical rectification (OR). With increase of damping constant, the magnitude of optical rectification decreases. Again, the maxima of optical rectification shifts towards the higher energy, as a confinement frequency of parabolic quantum well increases.