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

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.