Publisher's Synopsis
Excerpt from The Reciprocal Spherical Aberration of an Optical System Including Higher Orders
It has been pointed out that successively closer approximations to the aberration curve can be obtained by evaluating additional terms of the series (equation The usual methods of evaluating these coefficients are of three general types. First, if the lens has acti'ially been constructed, a number of narrow beams of light may be singled out, as in the Hartmann test, by a diaphragm with several small holes, and their positions after traversing the lens may be determined photographically or otherwise. Second, from the specifications of the lens system the theoretical position of several rays may be found by trigonometric ray tracing. In either case an empirical curve or equation 1s fitted to the discrete points this obtained. Third, trigonometric relations, such as those used ln ray tracing, are expanded as Taylor's or similar series in ascending powers bf whatever function of the aperture is chosen as the parameter The aberration coeffi cients are thereby expressed as functions of the object distance and of the constants of the lens system. The present investigation is of this third type, which is usually called the algebraic or analytical method.
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