OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 52, Iss. 10 — Oct. 1, 1962
  • pp: 1131–1142

Sideband Interpretation of Optical Information and the Diffraction Patterns of Unsymmetrical Pupil Functions

STANFORD GOLDMAN  »View Author Affiliations


JOSA, Vol. 52, Issue 10, pp. 1131-1142 (1962)
http://dx.doi.org/10.1364/JOSA.52.001131


View Full Text Article

Acrobat PDF (915 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This report shows how the pattern information in an object through which a coherent beam of light is passed can be transformed into information existing in the focal plane. The information in the focal plane can be interpreted as sidebands of a zero-frequency carrier. There is also a close connection between the sideband interpretation and the sampling theorem of information theory and this connection is derived and discussed.

The mathematical methods used in the first (one-dimensional) part of the following analysis are an application to optics of certain classical methods in modulation and communication theory. These are the method of symmetrical and antisymmetrical sideband distribution, the method of paired echoes and sampling theorem analysis.

In the two dimensional analysis, a more general method of separating functions into symmetrical and antisymmetrical parts is used. This leads to a new general analysis of the diffraction patterns of unsymmetrical pupil functions. In the course of the analysis a two-dimensional quadrature function is used. The quadrature function in one dimension is the Hilbert transform.

Citation
STANFORD GOLDMAN, "Sideband Interpretation of Optical Information and the Diffraction Patterns of Unsymmetrical Pupil Functions," J. Opt. Soc. Am. 52, 1131-1142 (1962)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-52-10-1131

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