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

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)

Optical constants of amorphous hydrogenated germanium thin films

Stuart B. White and David R. McKenzie
Appl. Opt. 27(16) 3344-3350 (1988)

New interfacial-gel copolymerization technique for steric GRIN polymer optical waveguides and lens arrays

Yasuhiro Koike, Yoshitaka Takezawa, and Yasuji Ohtsuka
Appl. Opt. 27(3) 486-491 (1988)

Gradient infrared optical material prepared by a chemical vapor deposition process

Michael A. Pickering, Raymond L. Taylor, and Duncan T. Moore
Appl. Opt. 25(19) 3364-3372 (1986)