OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 54, Iss. 2 — Feb. 1, 1964
  • pp: 229–234

Local Curvature of Wavefronts in an Optical System

JOHN A. KNEISLY II  »View Author Affiliations

JOSA, Vol. 54, Issue 2, pp. 229-234 (1964)

View Full Text Article

Acrobat PDF (617 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The local principal curvatures (shape) of a wavefront propagating through an optical system can be calculated from geometrical optics. Formulas are derived for the change in shape during transfer, refraction, reflection, and diffraction by a grating in a system of homogeneous isotropic media. The results not only have immediate application to design, but also provide necessary data for treating points where the geometric approximation fails.

JOHN A. KNEISLY II, "Local Curvature of Wavefronts in an Optical System," J. Opt. Soc. Am. 54, 229-234 (1964)

Sort:  Author  |  Journal  |  Reset


  1. C. S. Hastings, New Methods in Geometrical Optics (The Macmillan Company, New York, 1927).
  2. A. Gullstrand, Svenska Vetensk. Handl. 41, 1 (1906).
  3. See for example, C. E. Weatherburn, Differential Geometry of Three Dimensions (Cambridge University Press, New York, 1955), pp. 51–62, 66–74, 90–91.
  4. See, for example, M. Herzberger, Modern Geomnetrical Optics (Interscience Publishers, Inc., New York, 1958), p. 296.
  5. C. E. Weatherburn, Ref. 3, p. 66.
  6. M. Herzberger, Ref. 4, pp. 6, 7.
  7. G. H. Spencer and M. V. R. K. Murty, J. Opt. Soc. Am. 52, 676 (1962).
  8. O. Stavroudis, J. Opt. Soc. Am. 52, 187 (1962).
  9. See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1959), pp. 38–40.

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