Reflectance modeling of electrochemically P-type porosified silicon by Drude-Lorentz model

Porous silicon remains a promising material for optoelectronic application; in this field monitoring of the refractive index profile of the porous layer is required. We present in this work a procedure based on Drude-Lorentz model for calculating the optical parameters such as the high- and low-frequency dielectric constants, the plasma frequency by fitting the reflectance spectra. The experimental data of different porous silicon layer created above the bulk silicon material by electrochemical etching are extracted from reflectance measurements. The reflectance spectra are recorded in the spectral range 350-2500 nm. First, our computational procedure has been validated by its application on mono-crystalline silicon for the determination of its optical parameters. A good agreement between our results and those found in other works has been achieved in the visible-NIR range. In the second step, the model was applied to porous silicon (PS) layers. Useful optical parameters like the refractive index and the extinction coefficient, respectively, n (λ) and κ(λ), the band gap Eg, of different fabricated porous silicon layer are determined from simulated reflectance spectra. The correlation between the optical properties and the conditions of the electrochemical treatment was observed and analyzed. The main conclusion is that the reflected light from the porous silicon surface, although non-homogeneous and thus possessing the light scattering, is essentially smaller than the reflected light from the bulk crystalline silicon. These results show that the porous surface layer can act as an antireflection coating for silicon and could be used, in particular, in solar cells.