Abstract

In this third paper of our series, some consequences of the theories for the refractive and the rotatory dispersion are examined. It is shown that the Sellmeier-Drude and the Lorentz-Lorenz formulas for the dispersion of the refractive index are equivalent, and in fact are special cases of a more general equation. In a similar vein, the classical oscillator model of Vysin and the quantum calculations of Agranovich, for the rotatory dispersion, are shown to be equivalent for a nonmolecular crystal. This equivalence is used to analyze and interpret the Agranovich type of equation that we deduced from our measurements reported in the first two papers. It is found that the oscillator parameters specified by our data and this equation are reasonable in the light of completely unrelated experiments and considerations.

© 1979 Optical Society of America

Piezo- and thermo-optical properties of Bi₁₂GeO₂₀, I. Optical rotatory dispersion*

P. Hennessey and K. Vedam
J. Opt. Soc. Am. 65(4) 436-441 (1975)

Piezo- and thermo-optical properties of Bi₁₂GeO₂₀, II. Refractive index*

K. Vedam and P. Hennessey
J. Opt. Soc. Am. 65(4) 442-445 (1975)

Effects of temperature and pressure on the rotatory dispersion of Bi₁₂GeO₂₀

R. Greenwald and E. Anastassakis
J. Opt. Soc. Am. 65(4) 446-450 (1975)

Relation between piezo-optical and thermo-optical properties of crystals*

E. Anastassakis
J. Opt. Soc. Am. 64(7) 944-951 (1974)

Near-infrared refractive index of bismuth germanium oxide (Bi₁₂GeO₂₀)

E. Burattini, G. Cappuccio, M. Grandolfo, P. Vecchia, and Sh. M. Efendiev
J. Opt. Soc. Am. 73(4) 495-497 (1983)