OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 41, Iss. 9 — Sep. 1, 1951
  • pp: 604–610

Reflection and Transmission of Radiation by Metal Films and the Influence of Nonabsorbing Backings

LOUIS HARRIS, JOHN K. BEASLEY, and ARTHUR L. LOEB  »View Author Affiliations

JOSA, Vol. 41, Issue 9, pp. 604-610 (1951)

View Full Text Article

Acrobat PDF (1043 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A set of equations is presented for the reflection and transmission of normally incident radiation by absorbing (metal) films on nonabsorbing backings.

Using these equations, the results of two different methods of calculation of the reflection and transmission coefficients of a thick nonabsorbing plate are shown to be practically identical, both with and without an absorbing (metal) film on one surface of the plate. One of these methods involves the addition of intensities of the multiple reflections from the two surfaces of the plate. The other method is a rigorous calculation involving solution of the boundary condition equations (amplitude addition) for small areas followed by intensity averaging over the whole plate.

In order to calculate optical constants of a metal film on a thick nonabsorbing backing, the much simpler method of intensity addition of internal reflections in the backing may usually be applied.

LOUIS HARRIS, JOHN K. BEASLEY, and ARTHUR L. LOEB, "Reflection and Transmission of Radiation by Metal Films and the Influence of Nonabsorbing Backings," J. Opt. Soc. Am. 41, 604-610 (1951)

Sort:  Author  |  Journal  |  Reset


  1. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), pp. 511–515.
  2. K. Koller, Z. Physik 110, 661 (1938).
  3. F. Matossi, J. Opt. Soc. Am. 39, 928 (1949).
  4. H. Goldschmidt, Ann. Physik 82, 947 (1927).
  5. H. Murmann, Z. Physik 80, 191 (1933).
  6. J. Krautkrämer, Ann. Physik 32, 537 (1938).
  7. F. Goos, Z. Physik 106, 606 (1937).
  8. L. N. Hadley and D. M. Dennison, J. Opt. Soc. Am. 37, 451 (1947).
  9. R. L. Mooney, J. Opt. Soc. Am. 35, 574 (1945).
  10. F. A. Jenkins and H. E. White, Fundamentals of Physical Optics (McGraw-Hill Book Company, Inc., New York, 1937), p. 36.
  11. L. A. Pipes, Applied Mathematics for Engineers and Physicists (McGraw-Hill Book Company, Inc., New York, 1946), p. 461.

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