Further Considerations on the Selection of Optical Glasses in Apochromats

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Abstract
An analytical proof for the method developed by the author [N. v. d. W. Lessing, J. Opt. Soc. Am. 47, 955 (1957)] for the choice of glasses of an apochromatic system consisting of three lenses in contact with each other is given. Variation of the powers with small changes in the coordinates representing the glasses is discussed and it is found that the optical constants of the glasses must be determined accurately (to ±0.000005 or better) for the selection of the best glasses. It is also shown how four glasses can be used to advantage in an apochromat. Finally the extension of the method to an apochromatic system which consists of three lenses separated by air spaces, is considered briefly.

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