A fast Poisson solver for realistic semiconductor device structures

Abstract

Combines the techniques of fast Fourier transforms, Buneman cyclic reduction and the capacity matrix in a finite difference Poisson solver specifically designed for modelling realistic electronic device structures. A solution may be determined on a number of connected rectangular regions which correctly accounts for continuity of the electric displacement at dielectric interfaces. Suggests the method is particularly well suited to problems requiring repeated solution with the same device structure and provides a self‐consistent Monte Carlo simulation as an example of such an application.

Citation

Walmsley, M. and Abram, R.A. (1996), "A fast Poisson solver for realistic semiconductor device structures", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 15 No. 2, pp. 31-51. https://doi.org/10.1108/03321649610126457