Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
Volume 31, Issue 3, Pages 526-533Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAB.31.000526
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- Mexican National Council for Science and Technology (CONACyT) [186852]
- Johannes Kepler University of Linz
- Austrian Ministry for Research and Education Technology Grant Southeast Asia
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We discuss the susceptibility third-rank tensor for second harmonic and sum-frequency generation, associated with low index surfaces of silicon (Si(001), Si(011), and Si(111)), from two different approaches: the simplified bond-hyperpolarizability model (SBHM) and group theory (GT). We show that the SBHM agrees very well with the experimental results for simple surfaces because the definitions of the bond vectors implicitly include the geometry of the crystal and therefore the symmetry group. However, for more complex surfaces it is shown that one can derive from GT the SBHM tensor, if Kleinman symmetry is allowed. (C) 2014 Optical Society of America
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