A non-linear optimal control problem in obtaining homogeneous concentration for semiconductor materials

Cheng-Hung Huang, Jia Xun Li

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A non-linear optimal control algorithm is examined in this study for the diffusion process of semiconductor materials. The purpose of this algorithm is to estimate an optimal control function such that the homogeneity of the concentration can be controlled during the diffusion process and the diffusion-induced stresses for the semiconductor materials can thus be reduced. The validation of this optimal control analysis utilizing the conjugate gradient method of minimization is analysed by using numerical experiments. Three different diffusion processing times are given and the corresponding optimal control functions are to be determined. Results show that the diffusion time can be shortened significantly by applying the optimal control function at the boundary and the homogeneity of the concentration is also guaranteed. This control function can be obtained within a very short CPU time on a Pentium III 600 MHz PC.

Original languageEnglish
Pages (from-to)2343-2351
Number of pages9
JournalJournal of Physics D: Applied Physics
Volume39
Issue number11
DOIs
Publication statusPublished - 2006 Jun 7

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films

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