Constraints to the Dispersion Parameters of Optical Media

Materials with certain values of the partial dispersion / 12 = [n(u 1 ) m n (u 2 )]/[n(u 1 ) m n(u 3 )] and the Abbe number x 2 = [n(u 2 ) m 1 ]/[n(u 1 ) m n(u 3 )] are needed in different wavelength regions for the construction of dispersion corrected optical systems. Using a one-oscillator model for n(u) due to Wemple, we investigate the predictions of this model for the n - x -diagram and the / - x -diagram. The influence of a second oscillator is also discussed and compared with experimental results for optical glasses and crystals. The location of the second oscillator is correlated with that of the first one.