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Intrinsic Third Order Aberrations in Electrostatic and Magnetic Quadrupoles | | R. Baartman
; | | Date: |
1 Aug 2015 | | Abstract: | Intrinsic aberrations are those which occur due to the finite length of the
desired field configuration. They are often loosely ascribed to the fringing
field. This is misleading as it implies that the effects can be minimized by
shaping the fields. In fact, there is an irreducible component related to the
broken symmetry. It is present even in the hard-edge limit, and moreover, the
other (soft-edge) effects can be simply ascribed to the intrinsic aberration
spread over a finite length.
We rederive the aberration formulas for quadrupoles using a Hamiltonian
formalism. This allows for an easy comparison of electrostatic and magnetic
quadrupoles. For different combinations of large and small emittances in the
two transverse planes, it is found that in some situations electrostatic
quadrupoles have lower aberrations, while in others, magnetic quadrupoles are
better. As well, we discuss the ways in which existing transport codes handle
quadrupole fringe fields. Pitfalls are pointed out and improvements proposed. | | Source: | arXiv, 1508.0058 | | Services: | Forum | Review | PDF | Favorites | |
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