Numerical analysis of semiconductor devices

Abstract

Very large scale integration made computer aided design an urgent necessity in modern design process, since experimental investigations are very time consuming, often too expensive, and sometimes not feasible. In this thesis,we make an introduction to the numerical analysis of semiconductor devices. The fundamental semiconductor equations are derived with brief review of semiconductor physics. An algorithm for the numerical solution of these equations is described, and its implementation in one dimension is thoroughly explained. The problems of higher dimensional simulation are discussed; various algorithms are compared. Some mathematical background is established for the solution of large matrix systems. And the results of one dimensional simulation are presented and discussed.