Abstract
Eigenmodes and their growth rate in the photon storage ring (PhSR) are studied theoretically. In PhSR the synchrotron radiation emitted tangentially from the electron storage rings is reflected by a cylindrical mirror which surrounds the electron orbit. The radiation, thus confined in the cylindrical cavity, is represented by eigenmodes of very high mode numbers. It is found that the coherent radiation may build up, when the phase velocity of the eigenmode along the electron orbit is close to the electron velocity. The growth rate of this laser is evaluated for the compact electron storage ring AURORA.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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