Maurice L. Huggins, Kuan Han Sun, and Dorothy O. Davis, "The Dispersion of Silicate Glasses as a Function of Composition. II*," J. Opt. Soc. Am. 32, 635-650 (1942)
A previously proposed refraction and dispersion equation, containing two empirical constants per component oxide, is improved by the addition, for each component, of a term containing a single new constant (the same for all components) and, for each of the components PbO, CaO, and BaO, of another term containing two additional constants characteristic of the component. Tests of the new equation with experimental data, both for simple (crystalline and vitreous) oxides and for 2-, 3-, and multicomponent glasses, show agreement, practically within the probable error of the experimental data, over the visible range of wave-lengths.
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The unite of dM and gM are cm and cm−2, corresponding to λ values in cm. The units of the constants aD and aF−C are cm3.
The * identifies components for which the constants were computed from Young and Finn’s rM and qM values.
The Ca, Ba, and Pb constants in the rows marked † are approximately valid up to NM =0.25, 0.10, and 0.10, respectively.
Table III
Comparisons of observed and calculated refractive indices and dispersions for certain analyzed glasses.
The index listed by Morey (Table XVI. 11) as nD for this glass (practically pure SiO2) is probably really ND (the index in air) since it is the same as that given by Sosman as ND for pure SiO2. For comparison with our calculated values (H and HSD) we have therefore corrected it to vacuum; on the other hand, for comparison with the value computed by the Young and Finn constants, we have used the value given by Morey directly, since that gives better agreement and we have been unable to determine from their papers whether their constants are meant to be applicable to the air indices or to the vacuum indices.
Tables (3)
Table I
Rough values of the ratio dM,i/dM, using dM,i values computed from Eq. (21).
The unite of dM and gM are cm and cm−2, corresponding to λ values in cm. The units of the constants aD and aF−C are cm3.
The * identifies components for which the constants were computed from Young and Finn’s rM and qM values.
The Ca, Ba, and Pb constants in the rows marked † are approximately valid up to NM =0.25, 0.10, and 0.10, respectively.
Table III
Comparisons of observed and calculated refractive indices and dispersions for certain analyzed glasses.
The index listed by Morey (Table XVI. 11) as nD for this glass (practically pure SiO2) is probably really ND (the index in air) since it is the same as that given by Sosman as ND for pure SiO2. For comparison with our calculated values (H and HSD) we have therefore corrected it to vacuum; on the other hand, for comparison with the value computed by the Young and Finn constants, we have used the value given by Morey directly, since that gives better agreement and we have been unable to determine from their papers whether their constants are meant to be applicable to the air indices or to the vacuum indices.