We predict that Abrikosov Vortices moving towards the surface of a supercon
ductor emit electromagnetic radiation into free space. Passage of a single
Vortex line traveling at constant speed v from a superconducting half space
, x<0, towards the vacuum half space, x>0, is discussed in detail. The freq
uency distribution of the radiated intensity displays a pronounced maximum
at microwave frequencies around omega similar or equal to\upsilon(x)\/lambd
a, where lambda is the magnetic penetration depth. Coherent motion of a lat
tice of flux lines leads to constructive interference and increases the str
ength of the radiated power per vortex line by a large factor. Also the rad
iation source may be used to measure the velocity of Abrikosov vortices and
to determine the magnetic penetration depth.