Light is often described as a fully transverse-polarized wave, i.e., with an electric field vector that is orthogonal to the direction of propagation. However, light confined in dielectric structures such as optical waveguides or whispering-gallery-mode microresonators can have a strong longitudinal polarization component. Here, using single 85 Rb atoms strongly coupled to a whispering-gallerymode microresonator, we experimentally and theoretically demonstrate that the presence of this longitudinal polarization fundamentally alters the interaction between light and matter.PACS numbers: 42.50. Pq,42.50.Ct,42.60.Da,42.25.Ja The interaction between light and matter underlies basically every optical process and application. For essentially plane waves in isotropic media, it has been quantitatively investigated in a number of groundbreaking experiments at the level of single atoms and single photons in high-finesse cavities [1][2][3][4][5][6][7][8]. In order to further enhance the light-matter coupling strength, an increasing number of recent experiments rely on waveguide structures [9][10][11], or high NA objectives [12][13][14]. However, in these situations, the physics changes drastically from the plane wave case because the polarization of the light fields is in general no longer transversal but exhibits a longitudinal component in the direction of propagation. This tags the propagation direction of the light by its polarization state and fundamentally renders full destructive interference of two counter-propagating waves impossible. One would thus expect this effect to have striking consequences for the physics of light-matter interaction.Here, we quantitatively investigate this phenomenon in a model system consisting of single atoms that strongly interact with a whispering-gallery-mode (WGM) microresonator [15]. These resonators confine light by continuous total internal reflection and offer the advantage of very long photon lifetimes in conjunction with nearlossless in-and out-coupling of light via tapered fibre couplers [16]. As recently demonstrated in a series of pioneering experiments with toroidal WGM microresonators [17][18][19][20][21][22], single atoms as well as solid state quantum emitters can be strongly coupled to WGMs. Beyond their importance in strong light-matter coupling, WGM microresonators are highly versatile photonic devices which have found applications in a large variety of disciplines. They have enabled, e.g., on-chip detection of single nanoparticels [23] and single viruses [24], the generation of optical frequency combs [25] as well as squeezed and correlated twin-beams and single and pair photons [26,27]. Moreover, WGM microresonators provide a successful experimental platform in the thriving field of cavity optomechanics [28,29].However, thus far, the non-transversal polarization of WGMs has not been taken into account in the description of the quantum mechanical interaction of light and mat-FIG. 1. a) Schematic view of our bottle microresonator interfaced with a tapered fibre cou...