“…Hence, the observed optical nonlinearity in the currently studied matrices is due to a two-photon absorption (2PA) process at 800 nm and a three-photon absorption (3PA) process at longer wavelengths (1000 and 1200 nm). Further, the NLO coefficients of 2PA and 3PA (α 2 and α 3 , respectively) have been estimated from the experimentally observed OA Z -scan data using eq by considering the values of n = 2 and n = 3, respectively ,, italicT OA ( n PA ) = 1 false[ 1 + ( n − 1 ) α n L normale normalf normalf false( I 00 / ( 1 + ( Z / Z 0 ) 2 ) false) n − 1 false] 1 / n − 1 where n = order of absorption process, α n = multiphonon absorption coefficient, I 00 = input laser irradiation intensity, L eff = effective path length travel by laser beam within the sample, Z = sample position, and Z 0 = Rayleigh range. The OA plots of all the matrices at 800 nm using the value n = 2 are shown in Figure a–c.…”