Application of wavelet transform to the Raman $2D$ peak components analysis for tri- and tetralayer graphene

In this paper we have proposed a wavelet-based approach to study peak components fitting to the Raman $2D$ band of few layer graphene. As a result of the Continuous Wavelet Transform application peak components of the Raman $2D$ band are visualized and their number and peak frequencies are determined. It is found that there are four and five peak components of the $2D$ band for bilayer and trilayer graphene stacked in the Bernal (ABA) configuration respectively. In the case of tetralayer graphene with the rhombohedral (ABC) stacking there are also five peak components of the Raman $2D$ band. The peak frequencies of detected components are in good agreement with the experimental data.