Design Study of a Coupling RF Cavity for Three-Dimensional Laser Cooling

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The purpose of this project is to develop a novel three-dimensional laser cooling scheme for fast stored ion beams. The main results obtained during the term of the project are :1. It has been numerically demonstrated, with the tracking code "SAD" and molecular dynamics code "SOLID", that longitudinal laser cooling force can be extended to the transverse degrees of freedom of beam motion by employing the resonant coupling method.2. A low-power model of coupling RF cavity was designed and fabricated.3. It has been shown that the storage-ring lattice suitable for beam crystallization must satisfy the following two conditions : (a). the phase advance of betatron oscillation per lattice period is below about 127 degrees, and (b). the beam energy is less than the transition energy of the ring.4. Provided that the above-mentioned conditions are fulfilled, it is possible to produce an ultra-cold beam by means of the resonant coupling method.5. The relation between intra-beam heating rate and the amount of focusing field errors was studied.6. It has been concluded that, in order to stabilize a crystalline beam, a tapered cooling force is necessary.7. In order to generate a tapered light, a possible cooling scheme using multiple lasers has been proposed, and its validity was tested with molecular dynamics simulations.