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Microswimmers exhibit noisy circular motion due to asymmetric propulsionmechanisms, their chiral body shape, or by hydrodynamic couplings in thevicinity of surfaces. Here, we employ the Brownian circle swimmer model andcharacterize theoretically the dynamics in terms of the directly measurableintermediate scattering function. We derive the associated Fokker-Planckequation for the conditional probabilities and provide an exact solution interms of generalizations of the Mathieu functions. Different spatiotemporalregimes are identified reflecting the bare translational diffusion at largewavenumbers, the persistent circular motion at intermediate wavenumbers and anenhanced effective diffusion at small wavenumbers. In particular, the circularmotion of the particle manifests itself in characteristic oscillations at aplateau of the intermediate scattering function for wavenumbers probing theradius.

Intermediate scattering function of an anisotropic Brownian circle swimmer