Abstract

A mathematical model has been developed which describes the silicon composition gradient produced in germanium–silicon alloy GRIN crystals formed via Czochralski crystal growing. This model is based on the naturally occurring segregation effect of silicon in germanium. The refractive index of the alloy is described in terms of its relation to the band gap energy, which is itself dependent on the silicon composition. A relationship between refractive index and silicon composition of the alloy is derived.

© 1988 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Measurement of the refractive-index profile in polycrystalline germanium–silicon alloy GRIN crystals

Denis P. Naughton, Joseph J. Miceli, and Duncan T. Moore
Appl. Opt. 27(3) 505-507 (1988)

Infrared refractive index of germanium–silicon alloy crystals

Josef Humlíček, Arnulf Röseler, Thomas Zettler, Maria G. Kekoua, and Elza V. Khoutsishvili
Appl. Opt. 31(1) 90-94 (1992)

Germanium tin: silicon photonics toward the mid-infrared [Invited]

E. Kasper, M. Kittler, M. Oehme, and T. Arguirov
Photon. Res. 1(2) 69-76 (2013)

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 (8)

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 (16)

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