对液晶新性能的研究是当前的研究热点。通过非线性数值拟合研究掺杂纳米稀土氧化物Nd2O3聚合物分散液晶(PDLC)在实验给定驱动电压范围20 V~30 V以及在紫外335 nm~375 nm范围内的透射率，给出了符合此实验数据的函数关系，即为一个正弦函数之和的形式。拟合结果中最小相关系数(R)为0.999 8，最大均方误差(RMSE)为0.057。另一方面，通过对吸收带峰值的位置和趋势随着驱动电压的变化进行数学拟合,得到2个数学函数，函数关系为二次多项式的形式。拟合结果的和方差(SSE)分别为1.292e-026和3.944e-030，相关系数均为1。拟合结果表明：数学拟合结果和实验数据接近吻合，能够为进一步研究掺杂纳米Nd2O3聚合物分散液晶(PDLC)在20 V~30 V驱动电压下的紫外电光特性提供一定的理论依据。

The new electro-optic properties of polymer dispersed liquid crystal (PDLC) have attracted considerable attention in recent years. The nonlinear numerical fitting was used to investigate the transmittance of PDLC doped with thulium oxide nanoparticles Nd2O3 (PDLC- Nd2O3). The experimental result is a sum of sinusoidal function in the given experimental condition, which is 20 V~30 V for driving voltage in 335 nm~375 nm. Fitting results show that the minimum correlation coefficient (R) is 0.999 8 and the maximum root-mean-square error (RMSE) is 0.057. Moreover, the nonlinear numerical fitting of the position and trend of the absorption band peak along with the driving voltage was done ,and two mathematical functions were achieved whose inter mathematical relationship is a quadratic polynomial. Fitting results show sum-square errors (SSEs) are 1.292e-026 and 3.944e-030 respectively, the correlation coefficient is 1. The results fit well with the experimental data, which could be used to further understand electro-optical properties of the PDLC- Nd2O3 in UV in 20 V~30 V driving voltage.