光学ガラスの屈折率と振動子強度

概要

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Up to date, refractive index of optical glasses has been discussed in the Drude-Voigt dispersion formula in terms of the inherent wavelength of absorption λ0 and the number of molecules in unit volume N1 on the assumption that the oscillator strength f0 is constant. In this study, the influence of oscillator strength on the refractive index was investigated. It was found that the Drude-Voigt equation in which only a single oscillator is considered, nλ2-1=(e2/πmc2)N1f0/(1/λ02-1/λ2), is applied very well to the measured dispersions of almost all optical glasses. λ0, N1 and f0 of about two hundred kinds of optical glasses were calculated from above equation, and the following conclusions were obtained;1) As N1f0λ0 of crystals of the same structure are constant, those of each series of optical glasses such as SK-, La-series etc. are also found to be roughly constant.2) Refractive index nd is approximately expressed as a linear function of N1f0λ02. While Abbes number νd is approximately expressed as a linear function of 1/λ02 but is independent of N1 and f0.3) Refractive index was surely affected by oscillator strength values f0 as seen in those glasses which have nearly equal λ0 and N1 but different f0 values.4) Oscillator strength f0 are small in F-series glasses, while they are large in BK-, SK-, La- and Ta-series glasses. In La- and Ta-series glasses, N1 are also large.
社団法人日本セラミックス協会の論文
1976-09-01