Abstract

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.

© 2014 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Model of third harmonic generation and electric field induced optical second harmonic using simplified bond-hyperpolarizability model

Adalberto Alejo-Molina, Kurt Hingerl, and Hendradi Hardhienata
J. Opt. Soc. Am. B 32(4) 562-570 (2015)

Bulk dipolar contribution to second-harmonic generation in zincblende

Hendradi Hardhienata, Adalberto Alejo-Molina, Cornelia Reitböck, Andrii Prylepa, David Stifter, and Kurt Hingerl
J. Opt. Soc. Am. B 33(2) 195-201 (2016)

Second-harmonic generation in nonpolar chiral materials: relationship between molecular and macroscopic properties

Victor Ostroverkhov, Kenneth D. Singer, and Rolfe G. Petschek
J. Opt. Soc. Am. B 18(12) 1858-1865 (2001)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (26)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription