Andy Wolski
University of Liverpool, and the Cockcroft Institute, Daresbury, UK.
November, 2012
Course Outline
Part I (Lectures 1 – 5): Dynamics of a relativistic charged particle in the electromagnetic field of an accelerator beamline.
1. Review of Hamiltonian mechanics
2. The accelerator Hamiltonian in a straight coordinate system
3. The Hamiltonian for a relativistic particle in a general electromagnetic field using accelerator coordinates
4. Dynamical maps for linear elements
5. Three loose ends: edge focusing; chromaticity; beam rigidity.
To download the lecture click on the following link:
https://www.cockcroft.ac.uk/wp-content/uploads/2014/12/wolski-1.pdf
University of Liverpool, and the Cockcroft Institute, Daresbury, UK.
November, 2012
Course Outline
Part I (Lectures 1 – 5): Dynamics of a relativistic charged particle in the electromagnetic field of an accelerator beamline.
1. Review of Hamiltonian mechanics
2. The accelerator Hamiltonian in a straight coordinate system
3. The Hamiltonian for a relativistic particle in a general electromagnetic field using accelerator coordinates
4. Dynamical maps for linear elements
5. Three loose ends: edge focusing; chromaticity; beam rigidity.
To download the lecture click on the following link:
https://www.cockcroft.ac.uk/wp-content/uploads/2014/12/wolski-1.pdf
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