OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 5, Iss. 6 — Jun. 1, 1966
  • pp: 1023–1029

Rays and Ray Envelopes within Stable Optical Resonators Containing Focusing Media

Noritaka Kurauchi and Walter K. Kahn  »View Author Affiliations


Applied Optics, Vol. 5, Issue 6, pp. 1023-1029 (1966)
http://dx.doi.org/10.1364/AO.5.001023


View Full Text Article

Enhanced HTML    Acrobat PDF (929 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In stable resonators any given initially paraxial rays remain close to the axis of the structure and are, in fact, confined within well-defined contours—the envelope of the ray system. Previously, envelopes of rays in empty resonators had been found and their form identified with the variation of the spot size. This geometric optical approach is extended to general resonators, comprising arbitrary arrangements of lenses and convergent or divergent inhomogeneous focusing media. An invariant quadratic form involving parameters descriptive of any of the ray segments that result from a given initial ray segment leads to a differential equation satisfied by the ray segments and their envelope in portions of the resonator. A maximum–minimum problem for the envelope is formulated and solved. In convergent media the envelope function is found to be periodically modulated. The period of the modulation depends only on the properties of the convergent medium; the location of relative maxima and minima, as well as their ratio, depends on both the medium and associated optics. In special cases, results are compared with available solutions of the corresponding electromagnetic problem. A particularly simple resonator is analyzed, and envelope characteristics correlated with the stability limits.

© 1966 Optical Society of America

History
Original Manuscript: January 3, 1966
Published: June 1, 1966

Citation
Noritaka Kurauchi and Walter K. Kahn, "Rays and Ray Envelopes within Stable Optical Resonators Containing Focusing Media," Appl. Opt. 5, 1023-1029 (1966)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-5-6-1023

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

You do not have subscription access to this journal. Figure files 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. Article level metrics 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