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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 21 — Oct. 17, 2007
  • pp: 13463–13475

Losses of bound and unbound custom resonator modes

Brad Tiffany and James Leger  »View Author Affiliations

Optics Express, Vol. 15, Issue 21, pp. 13463-13475 (2007)

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We analyze a class of custom-mode laser cavities with aspheric mirrors that become either asymptotically flat or hemispheric away from the optical axis. Previous work classifies the modes of such cavities as either bound or unbound. We develop an analytic approximation for the losses and frequencies of such modes. The bound modes have losses that diminish exponentially as the size of the cavity mirror increases and have frequencies that become independent of the mirror size. On the other hand, unbound modes have losses that diminish asymptotically as the inverse third power of the mirror width and frequencies that converge toward those of the unperturbed (flat or hemispheric) cavity with increasing mirror width. Finally, we show good agreement between our model and numeric cavity eigenvalue calculations.

© 2007 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(140.3410) Lasers and laser optics : Laser resonators
(140.4780) Lasers and laser optics : Optical resonators

ToC Category:
Lasers and Laser Optics

Original Manuscript: July 5, 2007
Revised Manuscript: September 5, 2007
Manuscript Accepted: September 23, 2007
Published: October 1, 2007

Brad Tiffany and James Leger, "Losses of bound and unbound custom resonator modes," Opt. Express 15, 13463-13475 (2007)

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