Coherent stacking of laser pulses in a high-Q optical cavity for accelerator applications

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We have performed the harmonic analysis of the steady-state coherent pulse-stacking process in a high-Q Fabry-Perot cavity. The expression for the stacked pulse shape is obtained as a function of both the laser cavity and pulse-stacking cavity parameters. We have also estimated the pulse power gains attainable in the laser-optical system of NESTOR storage ring, which is under development at Kharkov Institute of Physics and Technology. It is shown that high power gains (10000) can be, in principle, achieved in a cavity, formed with low-absorption, high reflectivity (R 0.9999) mirrors, if the laser carrier frequency will be matched to the second harmonic frequency of the pulse-stacking cavity. This means a development of the sophisticated frequency stabilization loop for maintaining the cavity length constant within a sub-nanometer range.