Quantum well shape optimization by variational calculus: maximizing the Stark effect and quantum interference derived electro-optic susceptibility

A new method is proposed for semiconductor quantum well (QW) shape optimiza tion in respect to the electro-optic coefficients. It relies on iterative s olving of the system of coupled Schrodinger equations, which determine the wave functions of relevant states, and of Euler-Lagrange equations derived by applying the variational calculus to the target functional, with the sta rting potential supplied by the simulated annealing. Due to the combined us e of the two methods, one may expect to get the globally optimal QW profile . Numerical example is presented for an Al(x)Gal(1-x)As based structure. (C ) 2001 Elsevier Science B.V. All rights reserved.