Theory of the double heterostructure laser: I. Numerical solution of the charge transport equations

摘要

As a first stage in self-consistent calculations of the optical and electrical properties of the double heterostructure laser, a numerical integration procedure has been developed for the solution of the charge transport equations. The procedure is capable of integrating the equations for a range of device parameters without excessive demands upon computing facilities. The calculated distributions of electrons and holes across the device reveal the inadequacies of analytical solutions to approximate forms of the equations. It is found to be essential to a proper treatment of the transport problem to include the variation of the electric field by way of Poisson's equations. The retention of Poisson's equation in the scheme of transport equations introduces difficulties in an integration routine. It is these difficulties that are successfully overcome by the procedure described in this paper.