Applied electric field effect on light-scattering birefringence of dye-doped liquid crystal molecule and consistent neural network empirical physical formula construction for scattering intensities

► We investigate the birefringence in dye-doped nematic liquid crystal (NLC) molecules. ► To do this, we use NLC laser scattering intensities under applied electric field. ► We construct neural network empirical physical formulas (EPFs) for NLC intensities. ► Neural network EPFs can help to identify unknown liquid crystal molecular parameters.