Synchrotron light source data book

96 Pages·2005·0.84 MB·English

BNL--42333
DE89 014499
SYNCHROTRON LIGHT SOURCE
DATA BOOK
jlm murphy
bnl/nsls
MIM Of IHIS nor.HWEHT IS UNLIMITED
Disclaimer
Tins repon was prepared as an account of work sponsored by an
agency of live United Stales Government. Neither the United
Suites Government nor any agency ttwreof, nor any of their
employees, nor any of their contractors, subcontractors, or their
employees makes any warranty, express or implied, or assumes
any legal liability or responsibility for the accuracy, complete-
ness, or usefulness of any information, apparatus, product, or
process disclosed, or represents that its use would not infringe
privately owned rights. Reference herein lo any specific com-
mercial product, process, or service by trade name, trademark,
manufacturer, or otherwise, does not necessarily constitute or
imply us endorsement, recommendation, or favoring by the
United Slates Government or any agency, contractor or subcon-
tractor thereof. The views and opinions of authors expressed
herein do not necessarily state or reflect those of the United
State* Government or any agency, contractor or subcontractor
thereof.
i/iv
FOREWORD
The "Synchrotron Light Source Daw Book" is as iu name
implies a cnlleciion of dam on existing and planned synchrotron
light sources. 1 1 K intention was to provide a compendium of
tools for the design of electron storage rings as synchrotron radi-
ation sources. The slant is toward the accelerator physicist as
other booklets such as iltc X-Rny Data Booklet, edited by 1)
Vaughan (l.BL PUB-490), address I IK 'use' of synchrotron radi-
ation. 1> is hoped that the booklet serves as a pocket siwd refer-
encc to facilitate back of the envelope type calculations. It con-
tains some useful formulae in 'practical units' and a brier
description of many of the existing and planned light source lat-
tices.
1 welcome corrections and suggestions for improvement. If a
particular machine is missing it is because I did not have ready
access to the data. Additional machines will be added as lite
data becomes available.
I would like to thank my colleagues for providing the data
for the various lattices. In particular 1 would like to thank Dr.
Vukihide Kamiya (KEK) for gathering the information on most
of the Japanese machines. The computer code LEDA authored
by Dr. Gactano Vignola (BNL) was used to generate the lattice
displays.
James B. Murphy
NSLS 725C
Upton, New York 11973
January 1989
Table of Contents
1 rorcword in
2 Nomenclature & Physical Constants I
3 Useful Formulae .
l
4 Orthogonal Curvilinear Coordinates
5 Synchrotron Kwiation Integrals I
d Closed Otni Erors <
7 Random FJTOTS (>
H Storage Ring linulaih'r "I
* Beam Size and Angular DivrgeniT H
10 fcteciron Hcflm Optics A Twis Parameters y
1 Maynclic Mult iples 10
12 Radio Frequency System I
l!> Chmaticiy 12
14 Hctatron Resonances 12
15 FJectron fleam Liteimc 14
16 Synchrotron Radiation 15
17 Utulubtors IX
IK Wipglers 21
19 Umlula lor Field Versus G a p 2
20 Efects of Planar Insertions on the Ring 23
21 Synchrotron Ltj;ht Sources Worldwide 24
2 Storage Ring Latices 27
2.1 Adreses K8
24 References VI
Nomenclature
( I momentum cmnpaclton P, txM.llro.l l l l lKll
'1 dispersion function a,.|i,.Y, Twis\ par.tnu't'
1
V, betatron tune \ cniical waM'K
r, critical ertcrpy P di]M)k' fviutmt! r . i . i i u v
X, damping time li ruac'K'IK. tic-lil
c circumtt'a'rK.v 1: energy
a, energy .spa'ik) F emillaiui'
J, pailitiou fuiKiions f,, initiation li^v'i'
II riturant-Snyik'r lnv;uiani • V i
t
r, Total Cower S, cliroin.'tlK'iu
X cniiilancc coupling RF aiveplaiuo
a,, nn\ beam si/c angular sptead
°A •'
n licltl niik'ik quadru|i»lr M K
h RF lurmoniL* number /v, phntun ftux
undulator period K iindiilaliu parai
MCII Quaniny Svnibnl
|li
IZIemcntary Charge c 1«)22xlir
Vl
Electron Mass '"tr V l(NSxK)
;?
Proton Mass 1.6726x10
M
Planck Constant h 6.6262xl(r
Speed of Light c 2.W79XI0"
Classical Electron Radius '. 2.8179x10"" meter
Fine Structure Constant a 1/137.04
1
Bollzman Constant k 1.3807x10-" jnule/ K
1
Permittivity of Free Space e« R.8.142X1O"' farad/in
7
Permeability of Free Space Ho 4itxlO" lienn/m
Impedance of Free Space z
u 376.73 nlinis
Simii' I'wful lorinuUr
1
" i ' i pi'" i
IK til
'; Hl = — lAvi I M . S /••' i < i r r | « i ; i
i n / • K,vi
1
' ' 11 I (,-M) ' / |(,V>
i • • .««•
1
^ ^ J ' " ' ' • i'\m\ r , , | A . ' i - | n ^
i*:^/V"-. |
/C = >H4 /(, | ; | X, |<™l
| . m |
( i + — •
;
| \ , A
ul dmil int iar Coorflinal
Aff J^nplli A Volume I'k'nu'M
i l l * = h f«/u |* + hutul *» ^i WH { */\ •- h th jh tftu
(irjilicnt
V.I =
Cult
d ( ^2^
) •+ permui(itmn\
Coordinate System * 1 " 1
Canesian 1 1 1 X y /
I Cylindrical 1 1 1 r 0 /
' Spliencal r sinO r^ ^ ? ,
F-'rc'iiM-Sfnt'l il * X'PJ X t i s
Synchrotron Radiation Integrate"''
I,-- | -^d.t . / ; = J -V<A . / , = | — ~ d s
j 7
- , , , A r 7 ^ ' " ^ . ' P -
1 I NUmiciHuni coinpaciinn: n = —7
2 1 Uni'usy loss per lunv t/(l = TV'
3 t Damping panilion functions: Jt - I and Jt = 2 + —
55 * \ F. Y ')
4,Ene,gy,p«»1|:oI'.^--^j1j-t7-
£
5.,Emi.un«:c--^-!.f- J ^ -'»
[mr J ' j - ' t
C m m
6 ) Damping limes: T, (msl = t l P l ) ^
Closed Orbit Errors'"" '•*"•*•'
A single point kick of strength, y , at s = 0 along the cir-
cumference of a storage nng gives rise to a closed orbit dis-
placement at position s.
where p(0) and P<i) arc the betatron functions at the location of
the kick and the observation point respectively, • ( T ) is the phase
advance from the kick to Ihe observation point and v is the beta-
tron tune.
The angular deviation is obtained simply by diffc;cn!tation,
l
^ ' " 2 V p<5) sinicv
where O ( J ) = - P ' ( I W .
Kicks can arise from dipole trim magncls or errors in the
main magnets. The table below lists some of the kicks due to
magnet errors assuming the betatron phase advance across tlic
displaced clement is small.
I t:lcmcni Tvpc Source of Kick V Plane
Quiulrupole of Displacement K-I.A, , x.y
Ifngth.L. & by d, ,
2
• Strength.**
Uipolc of An>!lc,Q Rotation by 0
_J.
Uipolc cif Aii(;le.<> Reid Error. — X
a
II tbc plia\c ailvantc alonp (IK kick is not small, i.e.
vl.v'i r v S o ' l . the closed orbit must be deienmneil (rom tin-
innp.' general ct^uation for an extended kick.
The closed orbil blows up for integer tunes indicating ilk'
existence of a icsonancc for v = integer.
The bewron lune shift due to a gradient error 5K* is given
by
Tlw change in the hclalron function is given by
2
A p ( J ) = • • • f t j J - f 6 A ' U ' )P( .V ' ) cos2((jK.v ) - • < * ' ) -
2 sin2xv £
Die betatron functions blow up for half integer tunes indicating
the existence of a resonance for v = intcgcr/2.
1 1 <;v
Kandon Errors: Closed Orbit Amplification Factors '" '
P, and P,, arc defined to be llw ratio between I ho closed
orbit distortion at a particular location which will not be
exceeded with 9S% probability, to the 'rms error' in alignment
of the elements.
For quadrupoles. the error is the rms displacement of the elc-
meni assumed to be the same for all quads.
For dipoles of bend angle $ ; . P, is the 98% ratio between
closed orbit distortions in meters and the relative rms field errors
AB/B; similarly P, is the ratio between closed orbil distortions
in meters and the rms lilt of the dipolcs.