A new method for computing nonlinear carrier diffusion in semiconductor optical devices

The solution of carrier diffusion equations typically associated with semic onductor optical devices has been achieved by combining a function expansio n scheme, using the Hermite-Gauss functions as the basis set, with the coll ocation numerical procedure. Results for a wide range of cases obtained by this new scheme compare very favorably with those calculated with other met hods, Not only is the present process computationally fast and efficient, b ut it has the added attraction of providing the basis for conveniently solv ing also the nonlinear electromagnetic wave equation for the self-consisten t modeling of such devices.