Open AccessBulk quadrupole contribution to second harmonic generation from classical oscillator model in silicon
Author(s) -
Klaus-Dieter Bauer,
Kurt Hingerl
Publication year - 2017
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.25.026567
Subject(s) - hyperpolarizability , anharmonicity , silicon , quadrupole , optics , second harmonic generation , dipole , harmonic oscillator , materials science , harmonic , nonlinear optics , beam (structure) , physics , molecular physics , atomic physics , nonlinear system , optoelectronics , condensed matter physics , quantum mechanics , nonlinear optical , laser
We predict the frequency-dependent bulk quadrupole contribution to second harmonic generation in silicon quantitatively from the linear susceptibility by means of a generalized classical anharmonic oscillator model and the simplified bond hyperpolarizability model. We show that in single-beam setups the main contribution is found for the silicon (111) surface, and only a minor contribution for the (001) and (011) facets. The dipole contribution obtained from our model is compared to literature values for SiC, AlAs and GaAs to demonstrate the viability of the method.