Aberrated optical cavities

Abstract

Optical cavities are an enabling technology of modern quantum science: from their essential role in the operation of lasers, to applications as fly-wheels in atomic clocks and interaction-enhancing components in quantum optics experiments, developing a quantitative understanding of the mode-shapes and energies of optical cavities has been crucial for the growth of the field. Nonetheless, the standard treatment using paraxial, quadratic optics fails to capture the influence of optical aberrations present in modern cavities with high finesse, small waist, and/or many degenerate modes. In this work, we compute the mode spectrum of optical resonators, allowing for both non-paraxial beam propagation and beyond-quadratic mirrors and lenses. Generalizing prior works [1-5], we develop a complete theory of resonator aberrations, including intracavity lenses, non-planar geometries, and arbitrary mirror forms. Harnessing these tools, we reconcile the near-absence of aberration in Ref. [6] with the strongly evident aberrations in the seemingly similar cavity of Ref. [7]. We further validate our approach by comparison to a family of non-planar lens cavities realized in the lab, finding good quantitative agreement. This work opens new prospects for cavities with smaller waists and more degenerate modes.

arXiv comment21 pages, 5 figures

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Cited by in corpus (6)

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• Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities
• A cavity array microscope for parallel single-atom interfacing
• Understanding and suppressing backscatter in optical resonators
• Vibration damping platform for cavity quantum-electrodynamics experiments
• Aberration-driven tilted emission in degenerate cavities