A fiber-optic conversion module is provided as part of a lighting device on a vehicle. The module includes optical fibers with connectors, a light exit head, and a converter mounted on a cooling element. Shorter wavelength excitation light is fed to the optical fibers that emit the excitation light towards the converter arranged at an angle relative to the beam direction, at a light spot that remits useful light in a radiation angle in form of a cone of useful light and reflects excitation light as a Fresnel reflection substantially outside the cone of useful light, where Fresnel reflection is made harmless by a light stop.