Education
Post-graduate Lecture Courses: Academic Year 2004-5
It is recognised that post-graduate students in the Cockcroft Institute come from many different disciplines, and that they work on projects which span a wide range of different aspects of engineering and physics. Thus, four lecture tracks are available from which, in consultation with their supervisors, students can assemble a portfolio of courses suited to the nature of their MSc, MPhil, and PhD work.
All students, including those beginning post-graduate work in more traditional experimental Particle Physics, are encouraged to attend the Introductory course on Accelerator Science by E Wilson (Track 1) which will be available over video link at the Cockcroft Institute with Oxford and CERN.
Students from UK universities who wish to take advantage of any of these courses should contact Dr J. Hopkinson (J.F.L.Hopkinson@dl.ac.uk) with details as soon as possible. Students interested in Track 3 material should also contact Dr A. Dexter (a.dexter@lancaster.ac.uk).
Unless otherwise stated, lectures will take place at the Cockcroft Institute , Daresbury Science and Innovation Centre, Daresbury, Warrington.
Track 1
Tutors : E Wilson (CERN), Cockcroft Institute personnel
Introductory course on Accelerator Science
Lectures will take place in room T22 at the Daresbury Laboratory (video conference room, tower block) on Thursdays 10:00am to 11:00am and Fridays 10:00am to 11:00am weekly from 14th October to 3rd December 2004. Tutorials are available on 20th October, 11th November and 25th November from 2:15pm to 4:15pm at the same venue.
Track 2
Tutors: R Appleby , J Clarke , M Dykes , N Marks , H Owen , M Poole , R Reid , S Smith
Lectures will take place at the Daresbury Laboratory.
The schedule for this track will be established once demand is finalised.
Syllabus
- Introduction to accelerator optics
- Advanced beam dynamics
- Design procedures - including use of codes
- Modern accelerator technologies
- Radiation emission - synchrotron radiation and FELs
- Linear collider and neutrino factory concepts
More specialised sessions will be organised on an ad hoc basis taking advantage of visiting scientists.
Track 3
Tutors: R Carter , A Dexter , A Phelps (Strathclyde), K Ronald (Strathclyde)
Lecture modules on High Power RF Engineering are run jointly each year by the departments of Engineering at Lancaster University and Physics at Strathclyde University. They are run as part of an M.Sc. degree course. Full course details are available at :-
http://www.engineering.lancs.ac.uk/PG/pgcourses_detail.asp?ID=35
The RF system is a key component of all particle accelerators. The M.Sc. modules on High Power RF engineering cover a broader subject area than just accelerator applications. The course leans towards the requirements of engineers who anticipate being involved with the design of active and passive RF components and systems. Active components include Klystrons, TWTs, Magnetrons, Gyrotrons and Solid State amplifiers.
Lectures for each module are delivered intensively over a two week period. Typically there is a morning and afternoon lecture each day. The length of the lectures are between 50 and 90 minutes. Most of the lectures are to be delivered via a video conference link.
The lecture modules are open to Ph.D. students and researchers of the Cockcroft Institute. Requests to attend these lecture modules should be made to Dr Amos Dexter.
The schedule for the 04/05 course is as follows:
Syllabus
- Advanced Electromagnetics (13 - 24 September 2004)
- Physical Processes (8 - 19 November 2004)
- Passive Components (10 - 21 January 2005)
- Active Components (7 - 18 February 2005)
- Power Supplies and HPRF issues (7 - 18 March 2005)
- High Power RF Systems (18 - 29 April 2005)
Track 4
Tutors: R W Tucker , D A Burton
These courses are run every academic year by the Mathematical Physics Group in the Department of Physics, Lancaster University.
Part I
Michaelmas Term 2004 (1st October to 10th December)
Location : Room A13, Physics Building, Lancaster University.
All sessions will be held from 2pm to 4pm on the Monday and Wednesday during the Michaelmas term commencing 18th October 2004.
Syllabus
- Geometric methods in Electromagnetism including perturbative waveguide and cavity mode analysis.
Elements of vector spaces, elements of differential geometry, exterior methods, frames and coframes, metric, connections and covariant derivatives, Stokes theorem, the Frenet apparatus, Fermi transport, use of curvilinear coordinates in field systems, the covariant Maxwell equations, gauge covariance, electromagnetic interactions with charged particles, boundary conditions and constitutive relations, applications to RF cavity mode analysis. - Theory of Interacting Fields and particles with emphasis on relativistic effects and radiative phenomena.
Motion of charged particles in regular electromagnetic external fields, radiation from charged particles, charged fluids, radiation reaction and the Lorentz-Dirac equation, multi-pole analysis and electromagnetic scattering from a conducting and dielectric sphere, Eikonal methods for high frequency Maxwell fields. - Initial and Boundary value Problems, including relativistic moving media, discontinuous fields and moving boundaries.
Elements of distribution theory, applications to Sagnac effect. - Approximation schemes including variational methods
Linearisation techniques, applications to analysis of (non-planar) design orbits in cyclic accelerators, machine coordinates based on design orbits with curvature and torsion, multiple resonance phenomena.
Part II:
Lent Term 2005 (7th January to 18th March)
Location : TBA
Duration : TBA
Syllabus
- Global and Local Stability Analysis.
Hill's equation and Floquet theory, applications to transverse charged beam oscillation stability, notions of symplectic methods for beam dynamics and phase space. - Stochastic Methods.
Elements of stochastic methods and stochastic differential equations, the Fokker-Planck equations and its uses. - Modelling Techniques and Numerical Analysis.
Coding techniques in Maple and use of numerical algorithms for integrating non-linear differential systems. - Coupled Electromagnetic and Thermo-Mechanics.
Elements of continuum mechanics, Maxwell and Cauchy stress tensors, the stress-energy tensor for coupled relativistic systems, divergence theorems, Cosserat dynamics, coupled elasto-thermodynamics for charged matter.
Suggested Reading
The following are a suggested list of text books and sources which are available. They are compiled from sources such as http://www.kvi.nl/~brandenburg/accelera.htm and are offered only as a starting point.
"Particle Accelerator Physics: basic principles and linear beam dynamics" H. Wiedemann Springer Verlag, Berlin (1993) ISBN 3540565507
"Principles of charged particle Acceleration" (available from the web), Stanley Humphries, originally published by John Wiley and Sons, New York , ISBN 0471878782
"An Introduction to the Physics of High Energy Accelerators", D.A. Edwards and M.J. Syphers, John Wiley and Sons, New York (1993) ISBN 0471551635
"An Introduction to Particle Accelerators, E. Wilson", Oxford University Press (Oxford ), (2001) ISBN 0198508298
"The Physics of Particle Accelerators: an Introduction", K. Wille, Oxford University Press (2001) ISBN 0198505493
"Physik der Teilchenbeschleuniger", F. Hinterberger, Springer Verlag, Berlin (1997) ISBN 3540612386
"Fundamentals of Beam Physics", J. Rosenzweig, Oxford University Press (2003) ISBN 0198525540
"Particle Accelerator Physics: nonlinear and higher order beam dynamics", H. Wiedemann Springer Verlag, Berlin (1998) ISBN 3540645047
"Handbook of Accelerator Physics and Engineering", A.W. Chao and M. Tigner World Scientific, Singapore (1999) ISBN 9810235003
"Physics of Collective Beam Instabilities in High Energy Accelerators" (available from the web), A. W. Chao, originally published by John Wiley and Sons, New York (1993) ISBN 0471551848
"Theory of Cyclic Accelerators", A A Kolomensky, A N Lebedev, North Holland (1966)
