| Paper | Title | Page |
|---|---|---|
MOPF04 |
2D McMillan map for Accelerator Physics | |
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| The McMillan lens is one of the most important concepts of 1D nonlinear integrable optics for accelerators, however, its generalization to higher dimensions is not trivial. We will discuss two possible extensions to 2D, namely, axially symmetric McMillan lens which is based on hollow electron lens, and, quasi-integrable map based on the McMillan magneto-static lens and properly tuned linear lattice. The beam dynamics in the first case resembles the electron cooling process and possibly the lens can be used as a cooling device by itself. The second one has very nontrivial phase-space structure due to strong sensitivity to initial conditions, which experimental study may be done with the use of very cold (in transverse dimensions) pencil-like beams. In addition we will discuss Smaller and Global Alignment Indexes techniques allowing to distinguish ordered motion from chaotic which is based on the Lyapunov stability analysis. | ||
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