By A. Streun
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Additional resources for Practical Guidelines for Lattice Design (particle physics)
Sample text
Then all chromatic modes are corrected exactly where they are created. Additional small sextupoles could help to cancel the geometric modes where too. However the strengthes of the multipoles would be correlated by the dispersion of course is a global function of the lattice and affected by all magnets. Thus a lattice of this type would have only one mode of operation and no flexibility. Furthermore the purposes of the machines usually require dispersionfree sections where nevertheless chromaticity is created too.
E. its amplitudes stay within some limits. Of course this depends on the number of turns to be tracked. Electrons fortunately ”forget” their history➍ due to radiation damping, thus tracking one damping time usually ✺➒ is enough ( turns) . With protons many more turns need to be tracked ( ). However during primal lattice design, even short term tracking ( 100 turns) is sufficient to test the lattice acceptance, at least to reject bad designs, since of course the results ✪✄✍✌✔☎ ➬ ✘ ❃✪❋ ♣ ❈❉❈❉❈ ❃✪❋ ❪ 37 ÿ ❃✪❋ CHAPTER 5.
The closed orbit reaches integer at much larger momentum deviations now due to second order chromaticity. 7: Dynamic aperture: Only chromatic sextupoles. The horizontal dynamic aperture does not reach at all the physical aperture. The framing rectangle corresponds to the double sized beam pipe transformed to the trackpoint according to eq. 1. CHAPTER 5. 8: Sextupole Hamiltonian: First order optimization. A minimization of the 5 first order geometric terms was done, keeping the chromaticities at zero and neglecting , modes since they are not accessible by the families S1–S4 anyway (because the they sit at dispersionfree locations), which were the “knobs” for the minimizer.