Concerning the author's newly proposed treatment of aberrational region of optical systems with the use of intrinsic coefficients and characteristic matrix, when it comes to extending the case to fifth order region in analyzing and synthesizing the optical system, the degree of freedom of the system in the said region should be first acquainted with.
Exact analytical formulas are shown which express the fifth order intrinsic coeffients of thin lens contact system in air in terms of constructional data of the system.
Various new results derived from these formulas are discussed. Some of them are as follows.
1. The degree of freedom is regarded as six.
2. In exchanging object for image or viceversa, there are no simple relations between fifth order intrinsic coeffients before and after the exchange.
3. Sagittal curvature is saturated by the fifth order term.
抄録全体を表示