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.
