This read me file contains the description of the data in order to replicate the experiment finding. 1) Il file figu_data.m il a Matlab file which replicate the figur present in the paper. n is the real part of the refractive index K is the imaginary part of the refractive index (k_1, k_2 and K_3 represent is for the different level of optical losses) VisA_500 is the exp energy visibility for the 500 nm AZO thickness with lowest value of k at the ENZ point (K_3) VisC_500 is the exp energy visibility for the 500 nm AZO thickness with value of k_2 at the ENZ point VisB_500 is the exp energy visibility for the 500 nm AZO thickness with highest value of k at the ENZ point (K_1) VisA_900 is the exp energy visibility for the 900 nm AZO thickness with lowest value of k at the ENZ point (K_3) VisC_900 is the exp energy visibility for the 900 nm AZO thickness with value of k_2 at the ENZ point VisB_900 is the exp energy visibility for the 900 nm AZO thickness with lowest value of k at the ENZ point (K_1) VisBh_500 is the exp energy visibility with high intensity of the incident laser beams for the 500 nm AZO thickness with lowest value of k at the ENZ point (K_1) VisBh_900 is the exp energy visibility with high intensity of the incident laser beams for the 900 nm AZO thickness with lowest value of k at the ENZ point (K_1) fit_nl represent the nonlinear fit for the energy visibility refl is the exp reflection of the sample trans is the exp transmission of the sample absor is the exp absorption of the sample refl_fit is the TMM reflection of the sample trans_fit is the TMM transmission of the sample absor_fit is the TMM absorption of the sample L and lambda are the TMM and experimental wavelength respectivelly fit500 and fit900 are the TMM calculation of the nonlinear energy visibility for the 500-nm-thick and 900-nm-thick film of AZO 2) In the file experimental_dataare reported all the experimental data related to this work. Sample A refers to the sample with lowest value of k_3 at the ENZ point for both the samples (500 and 900 nm) Sample C refers to the sample with lowest value of k_2 at the ENZ point for both the samples (500 and 900 nm) Sample B refers to the sample with lowest value of k_1 at the ENZ point for both the samples (500 and 900 nm) 3) In the file Drude model fit the fit's parameters for the index of refraction