OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 51, Iss. 12 — Dec. 1, 1961
  • pp: 1342–1350

Concept of Cross-Spectral Purity in Coherence Theory

L. MANDEL  »View Author Affiliations


JOSA, Vol. 51, Issue 12, pp. 1342-1350 (1961)
http://dx.doi.org/10.1364/JOSA.51.001342


View Full Text Article

Acrobat PDF (965 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An examination of the conditions under which the normalized coherence function γ(X1,X2,τ), at two points X1 and X2 in an optical field, is reducible to the product of a function of X1, X2 and a function of τ leads to the concept of cross spectral purity. Spectrally pure beams of light are characterized by the property that their coherence function is so reducible and, operationally, by the fact that superposition does not affect the spectral distribution. Light beams that do not have this property are called spectrally impure, and it is shown to be characteristic of such beams that the interference fringes exhibit a detailed periodic coloring. A measure of the departure from cross-spectral purity is introduced and evaluated in some special cases. It is shown by an example that spectrally pure and spectrally impure beams of light may be derived from the same source with similar optical components. Moreover, these beams may be identical as regards their intensity, their spectral distribution, and their degree of coherence, and differ only as regards their state of spectral purity.

Citation
L. MANDEL, "Concept of Cross-Spectral Purity in Coherence Theory," J. Opt. Soc. Am. 51, 1342-1350 (1961)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-51-12-1342

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