Injection and/or Extraction and a Ring Cooler

Injection and extraction for a “ring cooler” or similar structure is discussed. A pulsed-magnet fast kicker could be used; however, the fast kicker would require a fast rise time and large apertures and the resulting parameter are very challenging. An alternative “energy-shift” injection scheme is proposed, in which the beam is injected off-energy and decelerated into a circulating orbit over a “half-turn” (with RF rephasing). The same method can also be used for extraction