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Phys. Rev. A 79, 011803(R) (2009) [4 pages]

Degenerate perturbation theory describing the mixing of orbital angular momentum modes in Fabry-Perot cavity resonators

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David H. Foster1,*, Andrew K. Cook2, and Jens U. Nöckel2
1Deep Photonics Corporation, Corvallis, Oregon 97333, USA
2Department of Physics, University of Oregon, Eugene, Oregon 97403, USA

Received 28 July 2008; published 8 January 2009

We present an analytic perturbation theory which extends the paraxial approximation for a common cylindrically symmetric stable optical resonator and incorporates the differential, polarization-dependent reflectivity of a Bragg mirror. The degeneracy of Laguerre-Gauss modes with distinct orbital angular momentum (OAM) and polarization, but identical transverse order N, will become observably lifted at sufficiently small size and high finesse. The resulting paraxial eigenmodes possess two distinct OAM components, the fractional composition subtly depending on mirror structure.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.011803
DOI:
10.1103/PhysRevA.79.011803
PACS:
42.50.Tx, 42.60.Da, 42.60.Jf

*davidhfoster@gmail.com