An Asymptotic Anslysis of Single-Junction Semiconductor Devices.

Abstract

In this paper we present an analysis of the fundamental one-dimensional semiconductor equations describing potential, carrier, and current density distributions in single-junction semiconductor devices when an external voltage is applied to the contacts. We reformulate the model equations by appropriate scaling as a singularly perturbed two point boundary value problem for a system of nonlinear ordinary differential equations. The right-hand side of the system has a jump discontinuity with respect to the independent variable (space-coordinate) representing the junction between differently doped sides of the device. The solution components are assumed to be continuous across this junction. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA130499

Entities

People

  • C. A. Ringhofer
  • E. Langer
  • Peter A. Markovich
  • S. Selberherr

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Birds
  • Boundary Layer
  • Boundary Value Problems
  • Continuity
  • Current Density
  • Differential Equations
  • Electron Density
  • Materials
  • Mathematics
  • Numerical Analysis
  • P-N Junctions
  • Semiconductor Devices
  • Semiconductors
  • Solid State Electronics
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Electronics Engineering
  • Fluid Dynamics.
  • Operations Research

Technology Areas

  • Microelectronics
  • Space