A fast poisson solver for realistic semiconductor device structures

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Volumn 15, Issue 2, 1996, Pages 31-51

  Walmsley, M ^a   Abram, R A ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FAST FOURIER TRANSFORMS; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; MONTE CARLO METHODS; BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; ELECTRIC CHARGE; ELECTRIC CONTACTS; ELECTRIC FIELDS; ELECTRIC POTENTIAL; HETEROJUNCTION BIPOLAR TRANSISTORS; PERMITTIVITY; POISSON EQUATION; SEMICONDUCTOR JUNCTIONS;

SOLVERS; CHARGE DENSITY; CONTACT VOLTAGE; ELECTRON INJECTION; HOLE INJECTION;

SEMICONDUCTOR DEVICES; SEMICONDUCTOR DEVICE STRUCTURES;

EID: 0030417791     PISSN: 03321649     EISSN: None     Source Type: Journal    
DOI: 10.1108/03321649610126457     Document Type: Article

References (8)

1. Cooley, J.W. and Tukey, J.W., "An algorithm for the machine calculation of complex Fourier series", Mathematics of Computation, Vol. 19, 1965, p. 297.
2. Bergland, G.D., "The fast Fourier transform recursive equations for arbitrary length records", Mathematics of Computation, Vol. 21, 1967, p. 236.
3. Bergland, G.D., "A fast Fourier transform algorithm using base 8 iterations", Mathematics of Computation, Vol. 22, 1968, p. 275.
4. Temperton, C., "On the FACR(1) algorithm for the discrete Poisson equation", Journal of Computational Physics, Vol. 34, 1980. p. 314.
5. Buzbee, B.L. et al., "The direct solution of the discrete Poisson equation on irregular regions", SIAM Journal on Numerical Analysis, Vol. 8, 1971, p. 722.
6. Hockney, R.W., "The potential calculation and some applications", Methods of Computational Physics, Vol. 9,1 970, p. 135.
7. Swartztrauber, P.N., "The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle", SIAM Review, Vol. 19, 1977, p. 490.
8. Jacoboni, C. and Reggiani, L., "The Monte Carlo method for the solution of charge transport in semi-conductors with applications to covalent materials", Reviews of Modern Physics, Vol. 55, 1983, p. 645.