In linear beam dynamics transverse motion of particles can be treated separately in the horizontal and vertical plane. This can be achieved by a proper selection, design, and alignment of beam transport magnets. Fabrication and alignment tolerances, however, will introduce, for example, rotated quadrupole components where only upright quadrupole fields were intended. The perturbation caused creates a coupling of both the horizontal and vertical oscillation and independent treatment is no longer accurate. Such linear coupling can be compensated in principle by additional rotated quadrupoles, but the beam dynamics for coupling effects must be known to perform a proper compensation.
KeywordsBeam Cross Section Couple Beam Beam Emittance Couple Motion Beam Transport
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