Sextupolar fields are non-linear (i.e. they depend on the artefact of the sizes of the axle displacements), and accept agreement which depend on both the accumbent and vertical offsets (i.e. they are coupled).
This leads to equations of motion that cannot be apparent for the accepted case, appropriately acute approximations to be acclimated if artful their furnishings on the beam.
In addition, the quadrature assurance of the sextupole bang on the axle account of the beam, can advance to top amplitude particles getting kicked far from the axle arbor and getting absent on the beam-pipe walls. Due to this mechanism, the accession of sextupole fields to an accelerator filigree will absolute the activating breach or accepting of the accelerator.
This leads to equations of motion that cannot be apparent for the accepted case, appropriately acute approximations to be acclimated if artful their furnishings on the beam.
In addition, the quadrature assurance of the sextupole bang on the axle account of the beam, can advance to top amplitude particles getting kicked far from the axle arbor and getting absent on the beam-pipe walls. Due to this mechanism, the accession of sextupole fields to an accelerator filigree will absolute the activating breach or accepting of the accelerator.
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