Degenerate Perturbation Theory Describing the Mixing of Orbital Angular Momentum Modes in Fabry-Pérot Cavity Resonators

Abstract

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.

arXiv comment4 pages, 2 figures. To be published in Phys. Rev. A (RC)

References in corpus (5)

• A hemispherical, high-solid-angle optical micro-cavity for cavity-QED studies
• Goos-Haenchen induced vector eigenmodes in a dome cavity
• Methods for 3-D vector microcavity problems involving a planar dielectric mirror
• Spin-orbit interaction of photons and fine splitting of levels in ring dielectric resonator
• Bragg-induced orbital angular-momentum mixing in paraxial high-finesse cavities

Cited by in corpus (4)

• Frequency splitting of polarization eigenmodes in microscopic Fabry-Perot cavities
• Observation of microcavity fine structure
• Fabry-Perot microcavity spectra have a fine structure
• Polarization properties in the transition from below to above lasing threshold in broad-area vertical-cavity surface-emitting lasers