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Fourier method modeling of semiconductor devices

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1 Author(s)
Axelrad, V. ; Lehrstuhl fuer Intergrerte Schaltungen, Tech. Univ. Munchen, West Germany

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

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:9 ,  Issue: 11 )