Fourier method modeling of semiconductor devices

A high-order approach to a numerical modeling of semiconductor devices is presented. The method combines the classical Fourier-series Galerkin procedure, a special matrix calculus, and fast numerical pseudospectral techniques. The proposed algorithm renders the exact solution (machine precision) of the semiconductor equations in the closed form of a trigonometric polynomial. The condition number of the diagonally dominant discrete equations is near unity. As a consequence, a highly accurate solution is achieved at moderate computer costs. The method has been implemented for one- and two-dimensional device models. Properties of the procedure are demonstrated with examples