Multiparameter optimization of optical nonlinearities in semiconductor quantum wells by supersymmetric quantum mechanics

Abstract

The multiparameter procedure of semiconductor quantum well profile optimization, using the supersymmetric quantum mechanics, is described and explored. The method generates families of isospectral potentials that depend on a specified number of scalar parameters, which are then varied so to maximize the desired property of the system, in this case the nonlinear susceptibility χ0(2) which gives rise to the optical rectification. The merits and limits of the multiparameter procedure are discussed.