抄録
The aberration theory is important as the basis of optical design. From this standpoint, however. the expressions should be arranged more or less different from those which are arranged with the theoretical interest alone.
Recent advance in optical systems has made third order theories too insufficient and fifth order theories have been developed by many authors. But, the practical expressions seem to be still required from the standpoint of optical design. The author tries to establish the practical expressions, starting from the Herzberger-Focke's fifth order theory.
Herzberger-Focke's theory is noticeable for its clear physical meaning. But, it has a few defects for practical purposes, that is:
i) it does not use the “reduced coordinates”, and then, it is difficult to apply it to the optical systems, comprising many refracitive surfaces.
ii) it uses the “exit-pupil coordinates” instead of the “entrance-pupil coordinates” and also does not usually fit to the practical work.
In this paper, the author applies the two transformations to the Herzberger's expressions, that is, from the “Herzberger coordinates” to the “reduced coordinates” and, from the “exit-pupil co-ordinates” tothe “entrance-pupil coordinates”. Upon this, the author defines the new symbols of the aberration coefficients, which correspond to the Berek's symbols.
