Accelerator Physics 1 | Università degli Studi di Milano Statale

A.Y. 2024/2025

Max ECTS

Overall hours

SSD

FIS/01

Language

Italian

Included in the following degree programmes

Physics (Classe LM-17)-Enrolled from Academic Year 2019/2020

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

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

Lesson period: Second semester

Lessons timetable

Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi

Exams calendar

Single course

This course can be attended as a single course.

Take a single course

Course syllabus and organization

Single session

Responsible

Rossi Lucio

Lesson period

Second semester

Syllabus
(active tab)
Course structure

Course syllabus

1) Basic Characteristics of accelerators. History of accelerators: electrostatics, cyclotron, betatron, synchrotron, linac.
2) Motion equation, transverse dynamics in magnetic field. Linear motion, focusing, transfer matrix, and beam matrix. Emittance. Adiabatic damping. Longitudinal dynamics, phase stability.
3) Quadrupoles, matching and periodic transport
4) Hill equiations, Transfer matrix and stability. Matching , eigen-ellipses, FODO cell.
5) Resonance. Theory and classifications.
6) Colliders. Luminosity. LHC example.
7) Limits in synchrotrons and colliders. Collective effects: space charge, tune shift, beam-beam effects, luminosity decay..
8) Scaling law for sinchrotron and colliders. The CERN accelerator chain.
9) Main technology for modern accelerators:
a) RF cavities
b) Magnets
c) Collimators and absorbers
d) Plasma accelerators
e) Accelerators for light sources: Synchrotron light, FEL and inverse Compton

Prerequisites for admission

2nd order differential equations
Fundamental of electromagnetism

Teaching methods

Discussion of characteristics and design of modern energy frontier accelrators, plasma accelerators and light sources.
Visit to LASA lab

Teaching Resources

Lecture book (in Italaian); lectures slides and recording; further material given at the Courses;
- Edwards, Syphers - An Introduction to the Physics of High Energy Accelerators. Wiley&Sons editors. available at the Physics library
-K. Wille - The physics of particle accelerators. An introduction- Oxford University Press -available at the Physics library

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
Written report on a type of accelerator and on one technology (4-5 pages)
- Resonances
- Longitudinal beam stability
- Luminosity
Main technologies (Magnets, RF cavities, Collimators)

FIS/01 - EXPERIMENTAL PHYSICS - University credits: 6

Lessons: 42 hours

Professors: Rossi Andrea Renato, Rossi Lucio

Educational website(s)

Fisica degli Acceleratori 1 (a.a. 2024/25)

Professor(s)

Rossi Andrea Renato

Rossi Lucio

Reception:

Monday 2-4 pm

LASA Laboratory or Physics Department (please send an e-mail)

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