We study optical properties of two dimensional silicene using density functional theory based calculations. Our results on optical response property calculations show that they strongly depend on direction of polarization of light, hence the optical absorption spectra are different for light polarized parallel and perpendicular to plane of silicence. The optical absorption spectra of silicene possess two major peaks: (i) a sharp peak at 1.74 eV due to transition from pi to pi* states and (ii) a broad peak in range of 4-10 eV due to excitation of sigma states to conduction bands. We also investigate the effect of external influences such as (a) transverse static electric field and (b) doping of hydrogen atoms (hydrogenation) on optical properties of silicene. Firstly, with electric field, it is observed that band gap can be opened up in silicene at Fermi level by breaking the inversion symmetry. We see appreciable changes in optical absorption due to band gap opening. Secondly, hydrogenation in silicene strongly modifies the hybridization and our geometry analysis indicates that the hybridization in silicene goes from mixture of sp^2 + sp^3 to purely sp^3. Therefore, there is no pi electron present in the system. Consequently, the electronic structure and optical absorption spectra of silicene get modified and it undergoes a transition from semi-metal to semiconductor due to hydrogenation.
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