Polynomial solutions of the fredholm integral equation in the laser intensity modulation method (LIMM)

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10 Scopus citations

Abstract

The Laser Intensity Modulation Method (LIMM) has recently been extended to the study of thin-film ferroelectrics on a substrate. The analysis of the experimental data requires the numerical solution of a Fredholm integral equation of the 1st kind, an ill-posed problem having multiple solutions. The techniques that have been applied previously for thick film analyses are not useable in this case because of the interference of the top electrode. A series solution method has been developed to solve this problem. The polarization distributions can be computed as 8th-degree polynomials by use of the constrained regularization method and singular value decomposition.

Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalIntegrated Ferroelectrics
Volume38
Issue number1-4
DOIs
StatePublished - 1 Dec 2001
Event13th International Symposium on Integrated Ferroelectrics - Colorado Springs, CO, United States
Duration: 11 Mar 200614 Mar 2006

Keywords

  • Constrained regularization
  • Ferroelectricity
  • Fredholm equation
  • LIMM
  • Polynomials
  • Pyroelectricity
  • Singular value decomposition

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Control and Systems Engineering
  • Ceramics and Composites
  • Condensed Matter Physics
  • Electrical and Electronic Engineering
  • Materials Chemistry

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