These devices may use a series of cells without dipoles in the “missing bend” method for suppressing dispersion. The k-modulation technique uses tune shifts to measure these devices’ beta function, which can be calculated analytically for a symmetric and periodic FODO (“foh-doh”) lattice. Solving the modified Hill’s equation along the s-coordinate yields these devices’ Twiss parameters, which characterize an ellipse in phase space. (-5[1])Courant and Snyder suggested an (*) alternating gradient (10[1])design for these devices, (-5[1])in which quadrupoles with oppositely-directed (-5[1])B-fields are used for focusing. (-5[2])Tailored high-intensity light is generated in examples of these devices that use a storage ring to generate (10[1]-5[1])synchrotron (10[1])radiation. (10[1])For 10 points, name these devices in high-energy physics that use electromagnets to propel particles (10[2])to very high (10[1])speeds. ■END■ (10[6])