A comparison of three techniques for solving the fredholm integral equation of the laser intensity modulation method (LIMM)

Sidney B. Lang; Robert Fleming

doi:10.1109/TDEI.2009.5128521

A comparison of three techniques for solving the fredholm integral equation of the laser intensity modulation method (LIMM)

Sidney B. Lang, Robert Fleming

Department of Chemical Engineering

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

The Laser Intensity Modulation Method (LIMM) is widely used for the determination of the spatial distribution of polarization in polar ceramics and polymers, and space charge in non-polar polymers. The analysis of experimental data requires a solution of a Fredholm integral equation of the 1st kind. This is an ill-posed problem that has multiple and very different solutions. A number of methods have been used to solve this problem. In this paper, a comparison is made among three different techniques: the Scale Transformation Method, the Polynomial Regularization L-Curve Method and the Monte Carlo Method. The accuracy and ease of use of the three techniques are compared using both simulated and experimental data.

Original language	English
Article number	5128521
Pages (from-to)	809-814
Number of pages	6
Journal	IEEE Transactions on Dielectrics and Electrical Insulation
Volume	16
Issue number	3
DOIs	https://doi.org/10.1109/TDEI.2009.5128521
State	Published - 1 Jun 2009

Keywords

Fredholm integral equations
Intensity modulation
Monte Carlo methods
Polarization
Pyroelectricity
Semiconductor lasers

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TDEI.2009.5128521

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abstract = "The Laser Intensity Modulation Method (LIMM) is widely used for the determination of the spatial distribution of polarization in polar ceramics and polymers, and space charge in non-polar polymers. The analysis of experimental data requires a solution of a Fredholm integral equation of the 1st kind. This is an ill-posed problem that has multiple and very different solutions. A number of methods have been used to solve this problem. In this paper, a comparison is made among three different techniques: the Scale Transformation Method, the Polynomial Regularization L-Curve Method and the Monte Carlo Method. The accuracy and ease of use of the three techniques are compared using both simulated and experimental data.",

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AB - The Laser Intensity Modulation Method (LIMM) is widely used for the determination of the spatial distribution of polarization in polar ceramics and polymers, and space charge in non-polar polymers. The analysis of experimental data requires a solution of a Fredholm integral equation of the 1st kind. This is an ill-posed problem that has multiple and very different solutions. A number of methods have been used to solve this problem. In this paper, a comparison is made among three different techniques: the Scale Transformation Method, the Polynomial Regularization L-Curve Method and the Monte Carlo Method. The accuracy and ease of use of the three techniques are compared using both simulated and experimental data.

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KW - Pyroelectricity

KW - Semiconductor lasers

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A comparison of three techniques for solving the fredholm integral equation of the laser intensity modulation method (LIMM)

Abstract

Keywords

ASJC Scopus subject areas

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