Simplified bond-hyperpolarizability model of second-harmonic-generation in Si(111): theory and experiment
arXiv:1212.0231 · doi:10.1088/1742-6596/423/1/012046
Abstract
Second-harmonic-generation (SHG) in centrosymmetric material such as Si(111) is usually understood either from the phenomenology theory or more recently using the Simplified Bond-Hyperpolarizability Model (SBHM) [G. D. Powell, J. F. Wang, and D. E. Aspnes, Phys. Rev. B 65, 205320/1 (2002)]. Although SBHM is derived from a classical point of view, it has the advantage over the former that it gives-especially for lower symmetry systems- a clear physical picture and a more efficient explanation of how nonlinearity is generated. In this paper we provide a step-by-step description of the SBHM in Si(111) for the linear and second harmonic case. We present a SHG experiment of Si(111) and show how it can be modelled by summing up the contribution of the fields produced by the anharmonic motion along the bonds.
ACCEPTED to be published in the The Journal of Physics: Conference Series, 2013 International Conference on Science & Engineering in Mathematics, Chemistry and Physics (ScieTech 2013)