OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 53, Iss. 12 — Dec. 1, 1963
  • pp: 1394–1402

Relation between the Height Distribution of a Rough Surface and the Reflectance at Normal Incidence

J. O. PORTEUS  »View Author Affiliations


JOSA, Vol. 53, Issue 12, pp. 1394-1402 (1963)
http://dx.doi.org/10.1364/JOSA.53.001394


View Full Text Article

Acrobat PDF (1048 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A theory concerning the relation between the root-mean-square (rms) roughness of a plane surface and its specular reflectance at normal incidence has been reported previously for the case when the roughness is small compared to the wavelength of light. In the present paper the theory is extended with certain restrictions to shorter wavelengths. The inadequacy of parameters such as the rms roughness, the rms slope, and the autocovariance length for describing the reflectance in the shorter wavelength region is discussed. Particular attention is given to the problem of determining the distribution of heights of the surface irregularities from reflectance measurements at normal incidence. It is shown that for many surfaces, designated as normal surfaces, this distribution may be readily determined. Simple models for both normal and abnormal surfaces are used to illustrate the behavior of the reflectance in both cases and the consequent precautions necessary to obtain accurate height distributions. The role of the phase change due to roughness in determining the height distribution is also discussed.

Citation
J. O. PORTEUS, "Relation between the Height Distribution of a Rough Surface and the Reflectance at Normal Incidence," J. Opt. Soc. Am. 53, 1394-1402 (1963)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-53-12-1394

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited