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Optical cavities in the near-concentric regime have near-degeneratetransverse modes; the tight focusing transverse modes in this regime enablestrong coupling with atoms. These features provide an interesting platform toexplore multi-mode interaction between atoms and light. Here, we use a spatiallight modulator (SLM) to shape the phase of an incoming light beam to matchseveral Laguerre-Gaussian (LG) modes of a near-concentric optical cavity. Wedemonstrate coupling efficiency close to the theoretical prediction for singleLG modes and well-defined combinations of them, limited mainly by imperfectionsin the cavity alignment.

Coupling Light to Higher Order Transverse Modes of a Near-Concentric Optical Cavity