New magic angle bumps and magic translation bumps Page: 2 of 10
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III» Magic Translation Bump
A translation bump must translate an electron beam ;nd a positron
beam traveling with the same trajectory parallel to but offset from the
axis of the linac back onto that axis. An example of a translation bump
is shown in Fig. 2, The displacments of the beam and •‘he incremental de-
flections along the bump are also tabulated. The key to this bump (as
well as the other magic bumps) is that a focusing quadrupole for one beam
is a defocusing quadrupole for the oppositely charged beam.
IV. New Magic Angle Bump
A new magic angle bump is shown in Fig, 3. The symmetric kicks given
to the beams occur at quadrupole located in the center jf the bump.
The corrector at Q^ separates the beams coming from the left so that they
pass through quadrupole on opposite sides of the axis. Qj+i deflects
both beams equal amounts in the same direction. If the amplitude and sign
of the corrector at are properly chosen, the beam deflections due to
Qi+1 exactly cancel the deflections caused by the RF. Finally, the cor-
rectors at and Q^+2 direct the beams back to the axis. This bump
is a factor of two shorter longitudinally than the one of Ref. 1 and has
peak particle amplitudes which are either two or 5.8 times smaller depend-
ing on the beam. Furthermore, both beams are handled equally. This bump
will significantly reduce the wake field effects on the beams due to the
correction of given RF deflections. The maximum corrector strengths are,
however, the same for this bump and the one of Ref. 1.
V. "Mid-quad'' Correction Scheme
The longitudinal extent of the magic bumps and the transverse maximum
particle amplitude of the magic translation bump can be reduced by adding
to the linac a second set of correctors placed midway between the present
quadrupoles.
VI. Mid-quad Magic Angle Bump
A magic angle bump using the mid-quad correction scheme is shown in
Fig. 4. This magic angle bump is very similar to the one of Fig. 3 with
the exception that the initial and final correctors are closer to the
quadrupoles where the RF kick is located. Clearly, the length of the bump
is one half the other bump, but the peak particle excursion is the same.
The correctors are twice as strong.
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Seeman, J. New magic angle bumps and magic translation bumps, report, October 28, 1983; California. (https://digital.library.unt.edu/ark:/67531/metadc1085668/m1/2/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.