Semiconductor device simulation

The most effective way to design VLSI device structures is to use sophisticated, complex two-dimensional (2D) and three-dimensional (3D) models. This paper and its companion [1] discusses the numerical simulation of such device models. Here we describe the basic semiconductor equations including several choices of variables. Our examples illustrate results obtained from finite-difference and finite-element implementations. We stress the necessary 3D calculations for small-size MOSFET's. Numerical results on inter-electrode capacitive coupling are included.