Three-Dimensional Laser Coolingt

To realize effective transverse laser cooling simultaneously with longitudinal laser cooling, two possibilities are theoretically studied. The schemes are both based on forced synchro-betatron coupling, which transfer the extremely effective longitudinal laser cooling action to transverse directions. The coupling is provided by an rf-cavity with a transverse variation of the longitudinal electric field (e.g. TM210 mode) or by a normal r-f-cavity located at a position of fmite dispersion, It is shown that, when a working point is close to the difference resonance, cooling in all three degrees of freedom is simulmneously obtained. 1