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On the Addition of the Primary Aberrations

Published online by Cambridge University Press:  24 October 2008

G. C. Steward
G. C. Steward
Affiliation:
Gonville and Caius College
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Extract

In the application of the Characteristic Function of Hamilton, or of any allied function, to the computation of a symmetrical optical system three steps are necessary. The performance of the system as a whole must be considered, and from this it appears that the aberrations may be derived from certain ‘aberration coefficients’ which occur in the expansion of an ‘aberration function’. In the second place, relations must be obtained giving the properties of the complete system in terms of the properties of the component systems, which, in general, will be single refracting surfaces; and finally, an evaluation of the coefficients must be made for the simple system—a single surface. For the first and third of these steps reference may be made elsewhere, and also for a general investigation of the second; a simple derivation is given, in the present note, of the necessary relations between a composite system and its components in the case where first order aberrations only are considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 5 , January 1927 , pp. 584 - 587
Copyright
Copyright © Cambridge Philosophical Society 1927

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References

* Phil. Trans. A. (225), 1925, Part I;Google ScholarTrans. Camb. Phil. Soc., No. IX, 1926;Google ScholarProc. Opt. Convention, 1926, Part II, p. 776.Google Scholar

† Smith, T., Trans. Opt. Soc., Vol. XXV, No. 4, 1923–1924.Google Scholar

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‖ Smith, T., Trans. Opt. Soc., Vol XXII, No. 5, 1921–1922.Google Scholar

* Smith, T., “The Addition of Aberrations,” Trans. Opt. Soc., Vol. XXV, No. 4, 1923–1924.Google Scholar

‡ Proc. Camb. Phil. Soc., 10. 1926.Google Scholar