The Analytical Solution of Anastigmatic Optical Lenses (II)
Single Thick Lenses
1962 年 31 巻 4 号 p. 318-328
詳細
1962 年 31 巻 4 号 p. 318-328
The shapes of single thin lenses designed by repeated ray-tracing differ remarkably sometimes from those calculated by the formula given in Part 1. Therefore, by taking into account of the thickness of the lens, which seems to be the main reason of this discepancy, an analytical study is made to render single thick lenses anastigmatic in the Seidel region by the application of Zinken-Sommer's condition.
When the object plane is placed at infinity or at the anterior focal plane of the lens, the anas-tigmatic condition turns into equations of the fifth degree of refractive power of the first surface. But it is of the seventh degree when the magnification of the image is taken as a parameter, and of the sixth degree when the distance of the object plane is taken as a parameter.
The possibility of finding the required shape or shapes of the lens rests on the solution of these equations,
