Steady-State Junction-Current Distributions in Thin Resistive Films on Semiconductor Junctions (Solutions of ▿2v = ±ev)
- 1 August 1970
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 41 (9) , 3818-3830
- https://doi.org/10.1063/1.1659513
Abstract
A collection of exact and approximate solutions to the nonlinear equation ▿2v = ±ev is presented. This equation appears in an extremely wide variety of physical contexts, which are summarized. In particular, the equation is shown to describe the nonuniform junction voltage v resulting from current‐spreading resistance when the p and/or n layer of a p‐n‐junction device is thin and only partly covered by a contact. Outlines are given for the application of the solutions to the design of electroluminescent diodes, lasers, transistors, and metal‐insulator‐metal or Schottky‐barrier structures.This publication has 11 references indexed in Scilit:
- The Potential Due to a Charged Metallic Strip on a Semiconductor SurfaceBell System Technical Journal, 1970
- Optimum Stripe Width for Continuous Operation of GaAs Junction LasersJournal of Applied Physics, 1969
- A distributed model of the junction transistor and its application in the prediction of the emitter-base diode characteristic, base impedance, and pulse response of the deviceIEEE Transactions on Electron Devices, 1965
- Optimum length of emitter stripes in 'comb' structure transistorsIEEE Transactions on Electron Devices, 1965
- The effects of distributed base potential on emitter-current injection density and effective base resistance for stripe transistor geometriesIEEE Transactions on Electron Devices, 1964
- On the Solution of the Poisson-Boltzmann Equation with Application to the Theory of Thermal ExplosionsThe Journal of Chemical Physics, 1952
- The Isothermal Function.The Astrophysical Journal, 1949
- The Role of Heat Conduction in Thermal Gaseous ExplosionsThe Journal of Chemical Physics, 1940
- The thermal explosion of diethyl peroxideProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1940
- Some problems illustrating the forms of nebulœProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1915