A Comparison of Three Techniques for Solving the Fredholm Integral Equation of the Laser Intensity Modulation Method (LIMM)

被引：18

作者：

Lang, Sidney B. ^{[1
]}

Fleming, Robert ^{[2
]}

机构：

[1] Ben Gurion Univ Negev, Dept Chem Engn, IL-84105 Beer Sheva, Israel

[2] Monash Univ, Sch Phys, Clayton, Vic 3800, Australia

来源：

IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION | 2009年 / 16卷 / 03期

关键词：

Fredholm integral equations; intensity modulation; Monte Carlo methods; polarization; pyroelectricity; semiconductor lasers; SPACE-CHARGE; POLYMER ELECTRETS; POLARIZATION; DISTRIBUTIONS; REGULARIZATION;

D O I：

10.1109/TDEI.2009.5128521

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：809 / 814

页数：6

共 13 条

[1] Current practice in space charge and polarization profile measurements using thermal techniques [J].

Bauer, S ;

Bauer-Gogonea, S .

IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION, 2003, 10 (05) :883-902

[2] Resolution of direct space charge distribution measurement methods [J].

Hole, Stephane .

IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION, 2008, 15 (03) :861-871

[3] LASER-INTENSITY-MODULATION METHOD - A TECHNIQUE FOR DETERMINATION OF SPATIAL DISTRIBUTIONS OF POLARIZATION AND SPACE-CHARGE IN POLYMER ELECTRETS [J].

LANG, SB ;

DASGUPTA, DK .

JOURNAL OF APPLIED PHYSICS, 1986, 59 (06) :2151-2160

[4] Fredholm integral equation of the Laser Intensity Modulation Method (LIMM): Solution with the polynomial regularization and L-curve methods [J].

Lang, SB .

JOURNAL OF MATERIALS SCIENCE, 2006, 41 (01) :147-153

[5] A TECHNIQUE FOR DETERMINING THE POLARIZATION DISTRIBUTION IN THIN POLYMER ELECTRETS USING PERIODIC HEATING [J].

LANG, SB ;

DASGUPTA, DK .

FERROELECTRICS, 1981, 39 (1-4) :1249-1252

[6] Laser intensity modulation method (LIMM): Review of the fundamentals and a new method for data analysis [J].

Lang, SB .

IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION, 2004, 11 (01) :3-12

[7] A NEW TECHNIQUE FOR DETERMINATION OF THE SPATIAL DISTRIBUTION OF POLARIZATION IN POLYMER ELECTRETS [J].

Lang, Sidney B. ;

Das-Gupta, D. K. .

FERROELECTRICS, 1984, 60 :23-36

[8] Unbiased iterative reconstruction of polarization and space-charge profiles from thermal-wave experiments [J].

Mellinger, A .

MEASUREMENT SCIENCE AND TECHNOLOGY, 2004, 15 (07) :1347-1353

[9]

PHILLIPS DL, 1962, J ASSOC COMPUT MACH, V9, P97

[10] THERMAL WAVE PROBING OF PYROELECTRIC DISTRIBUTIONS IN THE SURFACE REGION OF FERROELECTRIC MATERIALS - A NEW METHOD FOR THE ANALYSIS [J].

PLOSS, B ;

EMMERICH, R ;

BAUER, S .

JOURNAL OF APPLIED PHYSICS, 1992, 72 (11) :5363-5370

← 1 2 →