OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 38, Iss. 1 — Jan. 1, 1948
  • pp: 14–18

Algebraic Theory of the Primary Aberrations of the Symmetrical Optical System

H. A. BUCHDAHL  »View Author Affiliations


JOSA, Vol. 38, Issue 1, pp. 14-18 (1948)
http://dx.doi.org/10.1364/JOSA.38.000014


View Full Text Article

Acrobat PDF (497 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A concise, purely algebraic theory of the monochromatic primary aberrations of the symmetrical optical system is developed by means of a method depending on the consideration of quantities which reduce to optical invariants in the paraxial limit. The derivation of summation theorems is rendered superfluous. At every stage the order of the errors committed in the various approximations involved is considered in detail, with a corresponding gain in rigor. The equations for the final aberrations are derived in a well-known form. They contain aberration coefficients closely resembling the usual Seidel sums, and reducing to the latter when all the refracting surfaces are spherical. The increase in the labor involved in computing these more general sums is very small.

Citation
H. A. BUCHDAHL, "Algebraic Theory of the Primary Aberrations of the Symmetrical Optical System," J. Opt. Soc. Am. 38, 14-18 (1948)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-38-1-14


Sort:  Author  |  Journal  |  Reset

References

  1. A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, London, 1929), p. 314.
  2. M. Born, Optik (Julius Springer, Verlag, Berlin; 1933), Chapter II, pp. 23–31.
  3. H. A. Buchdahl, Proc. Phys. Soc. 58, 551 (1946).
  4. G. C. Steward, The Symmetrical Optical System, Cambridge Tracts No. 25 (Cambridge University Press, Teddington England, 1928), p. 32.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited