Solution of the LIMM equation for determination of polarization distributions in thin-film ferroelectrics

Sidney B. Lang

doi:10.1080/00150190108008572

Solution of the LIMM equation for determination of polarization distributions in thin-film ferroelectrics

Sidney B. Lang

Department of Chemical Engineering

Research output: Contribution to journal › Conference article › peer-review

5 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. The principle of parsimony which limits the amount of detail obtainable and the assumption of 1-dimensional diffusion of heat are discussed. Two new solution techniques, based on neural networks and power series, are presented.

Original language	English
Pages (from-to)	213-222
Number of pages	10
Journal	Ferroelectrics
Volume	264
Issue number	1
DOIs	https://doi.org/10.1080/00150190108008572
State	Published - 1 Dec 2001
Event	3rd Asian Meeting on Ferroelectrics, AMF-3 - Hong Kong, China Duration: 12 Dec 2000 → 15 Dec 2000

Keywords

Fredholm equation
LIMM
ferroelectricity
neural networks
power series
pyroelectricity

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1080/00150190108008572

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title = "Solution of the LIMM equation for determination of polarization distributions in thin-film ferroelectrics",

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. The principle of parsimony which limits the amount of detail obtainable and the assumption of 1-dimensional diffusion of heat are discussed. Two new solution techniques, based on neural networks and power series, are presented.",

keywords = "Fredholm equation, LIMM, ferroelectricity, neural networks, power series, pyroelectricity",

author = "Lang, {Sidney B.}",

note = "Funding Information: This research was supported by The Israel Science Foundation founded by The Academy of Sciences and Humanities.; 3rd Asian Meeting on Ferroelectrics, AMF-3 ; Conference date: 12-12-2000 Through 15-12-2000",

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AU - Lang, Sidney B.

N1 - Funding Information: This research was supported by The Israel Science Foundation founded by The Academy of Sciences and Humanities.

PY - 2001/12/1

Y1 - 2001/12/1

N2 - 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. The principle of parsimony which limits the amount of detail obtainable and the assumption of 1-dimensional diffusion of heat are discussed. Two new solution techniques, based on neural networks and power series, are presented.

AB - 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. The principle of parsimony which limits the amount of detail obtainable and the assumption of 1-dimensional diffusion of heat are discussed. Two new solution techniques, based on neural networks and power series, are presented.

KW - Fredholm equation

KW - LIMM

KW - ferroelectricity

KW - neural networks

KW - power series

KW - pyroelectricity

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SN - 0015-0193

VL - 264

SP - 213

EP - 222

JO - Ferroelectrics

JF - Ferroelectrics

IS - 1

T2 - 3rd Asian Meeting on Ferroelectrics, AMF-3

Y2 - 12 December 2000 through 15 December 2000

ER -

Solution of the LIMM equation for determination of polarization distributions in thin-film ferroelectrics

Abstract

Keywords

ASJC Scopus subject areas

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