The combination of equipment scale and feature scale models for chemical vapor deposition via a homogenization technique

Matthias K. Gobbert, Timothy S. Cale, Christian Ringhofer

Research output: Contribution to journalArticle

3 Scopus citations


In the context of semiconductor manufacturing, chemical vapor deposition (CVD) denotes the deposition of a solid from gaseous species via chemical reactions on the wafer surface. In order to obtain a realistic process model, this paper proposes the introduction of an intermediate scale model on the scale of a die. Its mathematical model is a reaction-diffusion equation with associated boundary conditions including a flux condition at the micro structured surface. The surface is given in general parameterized form. A homoganization technique from asymptotic analysis is used to replace this boundary condition by a condition on the flat surface to make a numerical solution feasible. Results from a mathematical test problem are included.

Original languageEnglish (US)
Pages (from-to)399-403
Number of pages5
JournalVLSI Design
Issue number1-4
StatePublished - Jan 1 1998



  • Asymptotic Analysis
  • Chemical Engineering
  • Chemical Vapor Deposition
  • Finite Differences
  • Homogenization
  • Partial Differential Equations

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering

Cite this