A self-consistent iterative scheme for one-dimensional steady state transistor calculations

作者: H.K. Gummel

DOI: 10.1109/T-ED.1964.15364

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摘要: A self-consistent iterative scheme for the numerical calculation of dc potentials and currents in a one-dimensional transistor model is presented. Boundary conditions are applied only at points representing contacts. Input data are: doping profile, parameters governing excess carrier recombination, describing dependence mobility on electric field, emitter collector voltages, trial solution electrostatic potential. The major limitation present approach results from use Boltzmann rather than Fermi statistics. Convergence iteration good low moderate injection levels.

参考文章(16)
J. J. SPARKES, A Reappraisal of Certain Aspects of Transistor Theory International Journal of Electronics. ,vol. 16, pp. 153- 168 ,(1964) , 10.1080/00207216408937632
R.D. Middlebrook, Conditions at a p-n junction in the presence of collected current Solid-State Electronics. ,vol. 6, pp. 555- 571 ,(1963) , 10.1016/0038-1101(63)90052-2
W. Shockley, W. T. Read, Statistics of the Recombinations of Holes and Electrons Physical Review. ,vol. 87, pp. 835- 842 ,(1952) , 10.1103/PHYSREV.87.835
J. Ebers, J. Moll, Large-Signal Behavior of Junction Transistors Proceedings of the IRE. ,vol. 42, pp. 1761- 1772 ,(1954) , 10.1109/JRPROC.1954.274797
Edmund S. Rittner, Extension of the Theory of the Junction Transistor Physical Review. ,vol. 94, pp. 1161- 1171 ,(1954) , 10.1103/PHYSREV.94.1161
W. Shockley, The theory of p-n junctions in semiconductors and p-n junction transistors Bell System Technical Journal. ,vol. 28, pp. 435- 489 ,(1949) , 10.1002/J.1538-7305.1949.TB03645.X
J. Early, Effects of Space-Charge Layer Widening in Junction Transistors Proceedings of the IRE. ,vol. 40, pp. 1401- 1406 ,(1952) , 10.1109/JRPROC.1952.273969