OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 54, Iss. 10 — Oct. 1, 1964
  • pp: 1235–1235

Focusing Properties of Hemispherical and Ellipsoidal Mirror Reflectometers

W. M. BRANDENBERG  »View Author Affiliations

JOSA, Vol. 54, Issue 10, pp. 1235-1235 (1964)

View Full Text Article

Acrobat PDF (332 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The purpose of this paper is to derive and summarize the focusing properties of hemispherical and ellipsoidal collector mirrors, which are often used in measuring the reflectance of imperfectly diffuse surfaces. Analytical expressions for the spherical aberration and magnification of a hemisphere and the magnification of an ellipsoid are derived. The resulting equations are applied to a rectangular and a circular source placed at one of the foci of the collector mirrors.

W. M. BRANDENBERG, "Focusing Properties of Hemispherical and Ellipsoidal Mirror Reflectometers," J. Opt. Soc. Am. 54, 1235-1235 (1964)

Sort:  Author  |  Journal  |  Reset


  1. F. Paschen, Ber. Berlin Akad. Deut. Wiss. 27 (1899).
  2. T. Royds, Physik Z. 11, 316 (1910).
  3. W. W. Coblentz, Natl. Bur. Std. (U.S.) Bull. 9, 283 (1913).

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