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3. Phase space and matrix formalism
Linear theory introduced in the previous section calls for the use of matrix formalism for its linearity. From this, we will define the transformation matrix, which allow to determine the trajectory of a single particle by simple matrix multiplication. Then, we will introduce the phase space, and the ellipse representation of the beam, that allow to reduce the problem of the study of numbers of particle, to a single envelop determined by six parameters. This will also be the perfect time for us to introduce the notion of emittance, which is a key element in phase space.
Subsections
- 3.1 Transportation matrix
- 3.2 Beam matrix and phase space
Next: 3.1 Transportation matrix | Up: 1 A quick introduction to beam physics | Previous: 2.3 General resolution of the perturbated linear equation |
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