Experiments indicating the excitation of whispering-gallery-type electromag
netic modes by a vortex moving in an annular Josephson junction are reporte
d. At relativistic velocities the Josephson vortex interacts with the modes
of the superconducting stripline resonator giving rise to novel resonances
on the current-voltage characteristic of the junction. The experimental da
ta are in good agreement with analysis and numerical calculations based on
the two-dimensional sine-Gordon model.