Accelerator Physics 1
A.Y. 2020/2021
Learning objectives
The course gives a general description of the accelerators and introduces the fundamental concepts of the transversal and longitudinal focalization. A detailed derivation of the periodic focusing structure FODO is given.
The characteristic and limits of the colliders are illustrated
The characteristic and limits of the colliders are illustrated
Expected learning outcomes
At the end of the course the students are expected to:
- be able to understand the characteristic of a circular accelerator (synchrotron)
- design a FODO cell and calculate the properties of the matched beam
- have the knowledge of the principal properties of the high energy proton colliders
- be able to understand the characteristic of a circular accelerator (synchrotron)
- design a FODO cell and calculate the properties of the matched beam
- have the knowledge of the principal properties of the high energy proton colliders
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
1)-Basic characteristics and classification: electrostatic, induction, circular, linear accelerators
2)- Hamiltonian formulation. Emittances. Linear motion, transfer matrix, beam matrix
3)- Magnetic field with cylindrical symmetry. Equation of motion and focusing, transfer matrix, matching and eigenellipse, adiabatic damping
4)- Other focusing system. Edge focusing, magnetic quadrupoles, matching and periodic transport
5)- Hill equations, transfer matrix and stability, eigenellipses. The FODO cell
6)- Resonances. Theory and classification
7)- Colliders. Luminosity . Luminosity calculation for accelerators
8)- Elettrosynchrotrons. Energy loss by radiation. Radiation damping
9)- Limits of synchrotrons and colliders. Dynamic aperture. Space charge, tune shift, beam-beam effect. Luminosity decay.
10)- Scaling law for synchrotrons and colliders
2)- Hamiltonian formulation. Emittances. Linear motion, transfer matrix, beam matrix
3)- Magnetic field with cylindrical symmetry. Equation of motion and focusing, transfer matrix, matching and eigenellipse, adiabatic damping
4)- Other focusing system. Edge focusing, magnetic quadrupoles, matching and periodic transport
5)- Hill equations, transfer matrix and stability, eigenellipses. The FODO cell
6)- Resonances. Theory and classification
7)- Colliders. Luminosity . Luminosity calculation for accelerators
8)- Elettrosynchrotrons. Energy loss by radiation. Radiation damping
9)- Limits of synchrotrons and colliders. Dynamic aperture. Space charge, tune shift, beam-beam effect. Luminosity decay.
10)- Scaling law for synchrotrons and colliders
Prerequisites for admission
2nd order differential equations
Fundamental of electromagnetism
Fundamental of electromagnetism
Teaching methods
LeLectures
Discussion of some relevant papers
Discussion of some relevant papers
Teaching Resources
Dispense e altro materiale forniti al corso
- Edwards, Syphers - An Introduction to the Physics of High Energy Accelerators. Wiley&Sons editors. - Disponibile alla Biblioteca di Fisica
-K. Wille - The physics of particle accelerators. An introduction- Oxford University Press - Disponibile alla Biblioteca di Fisica
- Edwards, Syphers - An Introduction to the Physics of High Energy Accelerators. Wiley&Sons editors. - Disponibile alla Biblioteca di Fisica
-K. Wille - The physics of particle accelerators. An introduction- Oxford University Press - Disponibile alla Biblioteca di Fisica
Assessment methods and Criteria
Oral examination ( approximately 45 minutes) on some topics:
- Magnetic quadrupoles: equations of motion, transfer matrix, thin lens approximation
- Periodic structure: Hill equation, stability criteria, Twiss matrix, beta function, beam matching
- FODO cell and beam matching
- Resonances
- Longitudinal beam stability
- Luminosity
- Magnetic quadrupoles: equations of motion, transfer matrix, thin lens approximation
- Periodic structure: Hill equation, stability criteria, Twiss matrix, beta function, beam matching
- FODO cell and beam matching
- Resonances
- Longitudinal beam stability
- Luminosity
Professor(s)
Reception:
Monday 2-4 pm
LASA Laboratory or Physics Department (please send an e-mail)