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Optics Express

Optics Express

  • Editor: C. Martijin de Sterke
  • Vol. 15, Iss. 9 — Apr. 30, 2007
  • pp: 5761–5774

Modified Gouy phase in optical resonators with mixed boundary conditions, via the Born-Oppenheimer method

Jens U. Nöckel  »View Author Affiliations


Optics Express, Vol. 15, Issue 9, pp. 5761-5774 (2007)
http://dx.doi.org/10.1364/OE.15.005761


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Abstract

We investigate near-paraxial modes of high-finesse, planoconcave microresonators without using the paraxial approximation. The goal is to develop an analytical approach which is able to incorporate not only the spatial shape of the resonator boundaries, but also the dependence of reflectivities on angle of incidence. It is shown that this can be achieved using the Born-Oppenheimer method, augmented by a local Bessel wave approximation. We discuss how this approach extends standard paraxial theory. It is found that the Gouy phase of paraxial theory, which is determined purely by ray-optics, is no longer the sole parameter governing transverse mode splittings. The additional determining factor is the sensitivity with which boundary reflection phases depend on incident angle.

© 2007 Optical Society of America

OCIS Codes
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(140.4780) Lasers and laser optics : Optical resonators
(260.2110) Physical optics : Electromagnetic optics
(350.3950) Other areas of optics : Micro-optics

ToC Category:
Physical Optics

History
Original Manuscript: April 3, 2007
Revised Manuscript: April 24, 2007
Manuscript Accepted: April 25, 2007
Published: April 26, 2007

Citation
Jens U. Nöckel, "Modified Gouy phase in optical resonators with mixed boundary conditions, via the Born-Oppenheimer method," Opt. Express 15, 5761-5774 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-9-5761


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