Design and analysis of a cooling insertion lattice for optical stochastic cooling

We consider an example of a highly isochronous beam line that can be used in the Optical Stochastic Cooling method to bypass an optical amplifier. There are stringent requirements on the time-of-flight properties of the bypass lattice employed in a cooling scheme. Namely, it is necessary to preserve relative longitudinal positions of particles inside the bunch from the beginning to the end of the bypass with the accuracy of /spl lambda//2/spl pi/, where /spl lambda//spl sime/0.6 /spl mu/m is a carrying (optical) wavelength. At first glance, /spl lambda//2/spl pi/ is such a small value that reaching this accuracy looks nearly impossible. However, simulations show that a carefully designed bypass can meet all the requirements even with rather conservative tolerance to errors. Currently, we are planing to build a highly isochronous beam line where we can learn how to handle a difficult problem of time-of-flight operation at record accuracy.