stability properties of anisotropic or “nonequipartitioned” beams with different focusing
constants and emittances in the two transverse directions. The thus obtained dispersion
relations of transverse multipole oscillations with quadrupolar, sextupolar, and octupolar
symmetries are solved numerically. We find that for sufficiently large energy anisotropy some
of the eigenmodes become unstable in the space-charge-dominated regime. Applying our …