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Lecture 5 Damping Ring basics Exercise solution

Lecture 5 Damping Ring basics Exercise solution. Thin Lens FODO Cell. In thin lens approximation and representing dipoles as drift spaces the matrix of a FODO cell can be written as.

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Lecture 5 Damping Ring basics Exercise solution

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  1. Lecture 5 Damping Ring basicsExercise solution

  2. Thin Lens FODO Cell In thin lens approximation and representing dipoles as drift spaces the matrix of a FODO cell can be written as Comparing this with the matrix of a periodic structure evaluate the betatron phase advanceand the Twiss functions  and  at the center of QF (optionally QD) Optional: Observe the behavior of  and D as a function of ; what happens at 180º?

  3. Solution or F = D = 0

  4. F (blue) and D (magenta) vs phase advance for FODO cell L=1.5 m For =180º F and D0 The motion is unstable

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