Electro-optic characteristics of polymer dispersed liquid crystals doped with thulium oxide nanoparticles Nd2O3 in UV based on numerical fitting

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.