New accurate technique for solving the LIMM equation and a comparison with other methods

S. Lang
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Abstract

The Laser Intensity Modulation Method (LIMM) is widely used for the determination of the spatial distribution of polarization in ceramics, single crystals and polymers. The experimental data measured are pyroelectric currents as functions of frequency. The data analysis requires the numerical solution of a Fredholm integral equation of the 1st kind. This is an ill-posed problem that has multiple and very different solutions. In this paper, a new technique is proposed that gives the polarization. distribution in the form of a special 8th-degree polynomial. Both simulated and experimental data are analyzed with the new technique.
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一种新的精确求解LIMM方程的方法,并与其它方法进行了比较
激光强度调制法(LIMM)被广泛用于陶瓷、单晶和聚合物中偏振空间分布的测定。实验测量的数据是热释电电流作为频率的函数。数据分析需要第一类Fredholm积分方程的数值解。这是一个病态问题,有多种不同的解决方案。本文提出了一种新的测量偏振的方法。一个特殊的8次多项式形式的分布。用新技术对模拟数据和实验数据进行了分析。
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