The Courant- Snyder invariant is a constant of motion that depends on these devices' Twiss parameters, which characterize an ellipse in phase space with area equal to pi times (*) emittance.
The stability of one type of these devices is analyzed using a necktie diagram. Another type of these devices is subject to the Touschek effect. The Keil-Schnell stability criterion and Robinson damping criterion are design constraints for these devices, which may incorporate Chasman-Green, DBA, or FODO lattices. The Courant- Snyder invariant is a constant of motion that depends on these devices' Twiss parameters, which characterize an ellipse in phase space with area equal to pi times (*) emittance. Chromaticity correction is a technique for reducing the frequency spread of these devices' betatron oscillations. These devices use quadrupole magnets for strong beam focusing and produce synchrotron radiation if they are circular in shape. For 10 points, name these devices exemplified by SLAC and the Large Hadron Collider.
The stability of one type of these devices is analyzed using a necktie diagram.
particle  accelerators [anti-prompt on "synchrotrons" or "storage rings"]