Large-scale numerical simulation in semiconductor device modelling

Difference methods for the solution of the semiconductor flow-equations are discussed. It is shown that implicit schemes are best suited for the particular problem. The successive under-relaxation method (SUR) is appropriate for the solution of the implicit equations. Emphasis is placed on the discussion of the computer-code SECUNDA and its applications in a technical development project. Graphical output and computer animation are powerful resultevaluation techniques. Results for the MESFET and for Gunn diodes show the power and flexibility of the approach presented.

[1]  Wilhelm Niethammer,et al.  Iterationsverfahren und allgemeine Euler-Verfahren , 1967 .

[2]  E. Wasserstrom,et al.  The potential due to a charged metallic strip on a semiconductor surface , 1970, Bell Syst. Tech. J..

[3]  G. Poots HEAT TRANSFER BY LAMINAR FREE CONVECTION IN ENCLOSED PLANE GAS LAYERS , 1958 .

[4]  J. Fromm Numerical method for computing nonlinear, time dependent, buoyant circulation of air in rooms , 1971 .

[5]  A. De Mari,et al.  An accurate numerical steady-state one-dimensional solution of the P-N junction , 1968 .

[6]  R. D. Richtmyer,et al.  Difference methods for initial-value problems , 1959 .

[7]  H. D. Rees,et al.  Calculation of distribution functions by exploiting the stability of the steady state , 1968 .

[8]  Edward S. Yang,et al.  An analysis of current saturation mechanism of junction field-effect transistors , 1970 .

[9]  H. Gummel A self-consistent iterative scheme for one-dimensional steady state transistor calculations , 1964 .

[10]  M. Reiser Difference methods for the solution of the time-dependent semiconductor flow equations , 1971 .

[11]  A. Moser,et al.  A memory-cell array with normally off-type Schottky-Barrier FET's , 1972 .

[12]  J. Slotboom Iterative scheme for 1- and 2- dimensional d.c.-transistor simulation , 1969 .

[13]  H. W. Loeb,et al.  Application of 2-dimensional solutions of the Shockley-Poisson equation to inversion-layer m.o.s.t. devices , 1968 .

[14]  W. D. Ryan,et al.  Two-dimensional analysis of lateral-base transistors , 1971 .

[15]  W. Fawcett,et al.  Monte Carlo determination of electron transport properties in gallium arsenide , 1970 .

[16]  S. Kataoka,et al.  Two-dimensional computer analysis of dielectric-surface-loaded GaAs bulk element , 1970 .

[17]  Roger W. Hockney,et al.  A Fast Direct Solution of Poisson's Equation Using Fourier Analysis , 1965, JACM.

[18]  J. A. Lewis The flat plate problem for a semiconductor , 1970 .

[19]  P. Dubock Erratum: Numerical analysis of forward and reverse bias potential distribution in a 2-dimensional p-n junction with applications to capacitance calculations , 1969 .

[20]  R. R. O'Brien,et al.  Computer aided two-dimensional analysis of the junction field-effect transistor , 1970 .

[21]  M. Reiser Zweidimensionale Lösung der instationären Halbleitertransportgleichungen für Feldeffekt-Transistoren , 1971 .

[22]  Nguyen Huy Xuong,et al.  Mathematical 2-dimensional model of semiconductor devices , 1971 .

[23]  S. Middelhoek Projection masking, thin photoresist layers and interference effects , 1970 .

[24]  J. Gillis,et al.  Matrix Iterative Analysis , 1961 .

[25]  P. Dubock,et al.  D.C. numerical model for arbitrarily biased bipolar transistors in two dimensions , 1970 .

[26]  S. M. Sze,et al.  Physics of semiconductor devices , 1969 .

[27]  M. Reiser Two-dimensional analysis of substrate effects in junction f.e.t.s , 1970 .

[28]  W. Shockley,et al.  A Unipolar "Field-Effect" Transistor , 1952, Proceedings of the IRE.

[29]  M. Reiser,et al.  Switching Behavior of Over‐Critically Doped Gunn Diodes , 1972 .

[30]  P. Wolf,et al.  Microwave properties of Schottky-barrier field-effect transistors , 1970 .

[31]  M. Heydemann Numerical method of investigation for m.o.s.t. structures , 1970 .

[32]  Gesualdo Le Moli,et al.  Automatic contour map , 1969, CACM.

[33]  A. De Mari,et al.  An accurate numerical one-dimensional solution of the p-n junction under arbitrary transient conditions , 1967 .

[34]  H. W. Thim,et al.  Linear microwave amplification with Gunn oscillators , 1967 .