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School (Level 1) but is also of interest to a wider audience. The ten lectures on all aspectswith the intention of preparing students for specialist training at the CERN Acceleratoroptional lectures which revise mathematical techniques. The level of the course is chosenlike to become familiar with the principles of accelerator design. It starts with twoThe course is intended for anyone with a technical or scientific background who would

This is a wide-screen video retransmission of a previous popular series.

10. Instabilities9. Electron dynamics

8. RF bunches and buckets7. Magnets rnultipoles and resonances6. Linear accelerators (by Guest Speaker : M. Weiss in person)5. Liouoille’s theorem and closed orbit errors4. Lattice design principles M ( § ` i3. The circulating beam : phase stability and focusing

Q 9 62. Mathematical introduction : differential equations1. Mathematical introduction ; matrices ’0'C“€j` I { /M"/I '

ABS J' IW {/h•¤QzO

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PLACE : Auditori

from 11.00 to 12.00 hrs

28 February, 1, 2, 3, 4, 7, 8, 9, 10 & 11 March

: Introduction to particle accelerators

SPEAKER : E.]N. WILSON / CERN·AC

LECTLHQE SERIES FOR POSTGRADIIATE S

1993 - 1994 ACADEMIC TRAINING PROGRAMME

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Weiss treats the principles of Linacsmachines are treated in one lecture and another, given by guest speaker M.systems, phase stability and beam instabilities. Special features of electronfocussing, betatron motion, dispersion, chromaticity,radio-frequencyof set questions in tutorials. They cover in a simple way the principles ofgiven over the first three months of 199l and complemented by discussiona wider audience. The nine lectures on all aspects of circular machines werepreparing students for the CERN Accelerator School but is also of interest toaccelerator design. The level of the course is chosen with the intention ofbackground who would like to become familiar with the principles of

This course is intended for anyone with a technical or scientific

Instabilities

Electrons

RF Bunches and Buckets

Linear Accelerators ( by guest speaker M.Weiss)Imperfections and Multipoles

Lattices

The Circulating Beam : Phase Stability and FocussingMathematical Introduction : Differential Equations

Mathematical Introduction : Matrices

E.J.N.Wi1s0n

ACCELERATORS

AN INTRODUCTION TO PARTICLE

ACADEMIC TRAINING LECTURE NOTES

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Answer 84 half perids will have bends and 60 will be empty. OCR Output

there.

8. How many bending magnets are needed and how many full andempty half periods are

Answer : 4.035 m.

per FODO period)be the length of the bending magnet? (Hint there are two bending magnets and two quads7. Allowing 0.5 m at one end of the Bending magnet and 1.5 m at the other — what will

Answer ; 0.51 m.

spacing. What is thelength of each one?6. Suppose there are 144 quadrupoles - and thefocal length is about equal to 2/3 of their

Answer 12 T/m

0.42 Tesla. What is themaximum field gradient?5. Suppose the quadrupoles have a bore diameter of 70 mm.and the Held at this radius is

Answer; 26.68 T.m. ; 8 GeV kinetic

*the maximum energy?4. Assuming the maximum field is 0.5 Tesla what would be B*rhoand from it calculate

Answer : 64.5

ISR tunnel - what is the radius of curvaturein these magnets?3. If 43 % of an electon synchrotron ring consists of bending magnetsand it matches the

Answer : 150 m.

2. Measure the radius of the ISR tunnel on the CERN phone book map.

Answer: [5 = ( 1+ ( E0/pc)2) ·°-5

What is the value for 8.0 Ge V electrons?plot it for momenta in the range 1 GeV/c to 100 GeV/c for protons.( on log paper).l. Find an expression for beta (v/c) as a function of Momentum (eV/c) and

OCR OutputTUTORIAL QUESTIONS FOR LECTURE #3