English

Fabry-Perot microcavity spectra have a fine structure

Optics 2022-09-12 v1 Instrumentation and Detectors

Abstract

Optical cavities can support many transverse and longitudinal modes. A paraxial scalar theory predicts that the resonance frequencies of these modes cluster in different orders. A non-paraxial vector theory predicts that the frequency degeneracy within these clusters is lifted, such that each order acquires a spectral fine structure, comparable to the fine structure observed in atomic spectra. In this paper, we calculate this fine structure for microcavities and show how it originates from various non-paraxial effects and is co-determined by mirror aberrations. The presented theory, which applies perturbation theory to Maxwell's equations with boundary conditions, proves to be very powerful. It generalizes the effective 1-dimensional description of Fabry-Perot cavities to a 3-dimensional multi-transverse-mode description. It thereby provides new physical insights in several mode-shaping effects and a detailed prediction of the fine structure in Fabry-Perot spectra.

Keywords

Cite

@article{arxiv.2203.01638,
  title  = {Fabry-Perot microcavity spectra have a fine structure},
  author = {M. P. van Exter and M. Wubs and E. Hissink and C. Koks},
  journal= {arXiv preprint arXiv:2203.01638},
  year   = {2022}
}

Comments

20 pages, 4 figures

R2 v1 2026-06-24T10:00:37.115Z