Effective dielectric function of TiO2 nanoparticles under laser pumping in the fundamental absorption band

A nonlinear optical response of TiO₂ nanoparticles under pumping by 355-nm laser radiation is experimentally investigated. Using the data obtained by z-scanning with simultaneous measurement of the scattering intensity, the effective permittivity of particles is reconstructed as a function of the pump intensity. It is found that graphical mapping of the relationship between the real and imaginary parts of the permittivity can be obtained using an affine transformation of a similar map of the frequency-dependent dielectric function for the Lorentz model. It is shown that an increase in the pump intensity should lead to a red shift of the absorption maximum of nanoparticles and a rise in the plasma frequency, which is estimated (using a single-oscillator Lorenz model) from the obtained values of the real and imaginary parts of the effective permittivity for the probe radiation wavelength in use.