Site perso :
Emmanuel Branlard
HOME
Work
Publications
Contact
Curriculum Vitae
Papers
Programs
Music
Linux
Web sites
HOME
work
papers
html
2009fermi
Next:
1. Quick memo on electromagnetism and special relativity
|
Up:
Report
|
Previous:
Dipole points definition
|
Navigation:
Contents
|
Index
1
A quick introduction to beam physics
Subsections
1
. Quick memo on electromagnetism and special relativity
1
.
1
Basic notions of Electromagnetism and charged particles
1
.
1
.
1
Electromagnetic fields: Maxwell equations
1
.
1
.
2
Lorentz Force
1
.
1
.
3
Equation of motion
1
.
2
Basic notions of relativity
1
.
2
.
1
Relativity parameters and useful formulas
1
.
2
.
2
Lorentz transformation
1
.
2
.
2
.
1
Space Transformation
1
.
2
.
2
.
2
Field Transformation
2
. Beam dynamics - linear formalism
2
.
1
Introduction
2
.
1
.
1
Coordinate system
2
.
1
.
2
Equation of motion
2
.
2
A particular case: Hill's equation - Betatron functions
2
.
3
General resolution of the perturbated linear equation of motion
2
.
3
.
0
.
1
Vectorial form
2
.
3
.
0
.
2
Homogeneous equation
2
.
3
.
0
.
3
Particular solution by variation of constant parameter
2
.
3
.
0
.
4
General Solution
2
.
3
.
0
.
5
Going back to two dimensions
2
.
3
.
0
.
6
Particular case of
constant
3
. Phase space and matrix formalism
3
.
1
Transportation matrix
3
.
1
.
1
From equations of motion to matrix formalism
3
.
1
.
2
Interpretation in term of optics
3
.
2
Beam matrix and phase space
3
.
2
.
1
Phase space
3
.
2
.
2
Beam emittance
3
.
2
.
3
Beam matrix
3
.
2
.
4
Two dimensional beam matrix - Relation with Twiss-parameters
3
.
2
.
5
Relation with transport matrix
3
.
2
.
6
Four dimensional beam matrix - introduction to Emittance exchange
Next:
1. Quick memo on electromagnetism and special relativity
|
Up:
Report
|
Previous:
Dipole points definition
|
Navigation:
Contents
Index
Emmanuel Branlard
http://emmanuel.branlard.free.fr/