Calculating the Fine Structure of a Fabry-Perot Resonator using Spheroidal Wave Functions

Abstract

A new set of vector solutions to Maxwell's equations based on solutions to the wave equation in spheroidal coordinates allows laser beams to be described beyond the paraxial approximation. Using these solutions allows us to calculate the complete first-order corrections in the short-wavelength limit to eigenmodes and eigenfrequencies in a Fabry-Perot resonator with perfectly conducting mirrors. Experimentally relevant effects are predicted. Modes which are degenerate according to the paraxial approximation are split according to their total angular momentum. This includes a splitting due to coupling between orbital angular momentum and spin angular momentum.

References in corpus (3)

• Deterministic Single-Photon Source for Distributed Quantum Networking
• Nonlinear spectroscopy of photons bound to one atom
• Solutions to Maxwell's Equations using Spheroidal Coordinates

Cited by in corpus (8)

• Sisyphus Cooling of Electrically Trapped Polyatomic Molecules
• Frequency splitting of polarization eigenmodes in microscopic Fabry-Perot cavities
• Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators
• Observation of microcavity fine structure
• Fabry-Perot microcavity spectra have a fine structure
• Aberrated optical cavities
• Mode mixing and losses in misaligned microcavities
• Understanding and suppressing backscatter in optical resonators