Abstract
We derived analytic formulae for the correction of spherical aberration, coma, and axial color of a two-components lens system consisted of a cemented doublet and a singlet by using the thin lens approximation. The correction formulae were applied to design a telephoto lens system. We examined two kinds of glass combinations in the design, one was crown-flint-crown combination and the other was flint-crown-flint combination. We found two kinds of achromatic aplanat solutions in the crown-flint-crown combination. For the case of flint-crown-flint combination, there were also two kinds of solutions, but their configurations are not useful in practice.
2매 접합렌즈와 단렌즈로 구성된 2군 렌즈계의 구면수차, 코마, 종색수차 보정을 위한 3차수차 전개식을 얇은렌즈 근사를 이용하여 해석적으로 유도하였다. 유도된 3차수차 전개식은 telephoto렌즈계의 설계에 적용되었다. 초기설계에서 광학유리 조합은crown-flint-crown조합과 flint-crown-flint 조합에 관하여 조사하였다. Crown-flint-crown조합의 경우 2가지 형태의 achromatic aplanat 존재하였다. Flint-crown-flint조합의 경우에서도 2종류의 해가 존재하였으나, 해의 형태가 유용하지 못하였다.