Matthias Liepe, P4456/7656, Spring 2010, Cornell University Slide 1. Matthias Liepe, P4456/7656, Spring 2010, Cornell University Slide 2
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1 5. F ystems ad Patile Aeleatio 5. Waveguides 5..3 Cylidial Waveguides 5. Aeleatig F Cavities 5.. Itodutio 5.. Tavelig wave avity: dis loaded waveguide 5..3 tadig wave avities 5..4 Highe-Ode-Modes 5..5 The pillbo avity 5..6 F pime Matthias Liepe, P4456/7656, pig, Coell Uivesity lide Matthias Liepe, P4456/7656, pig, Coell Uivesity lide
2 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 3 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 4
3 Mode fo patile aeleatio: TM os t si ' t si ' t Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 5 i e, i i os os si ' si ' os t t i t i t i t i Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 6
4 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 7, e i i i si ' os os os si ' t i t i t t i t i Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 8
5 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 9 T TM T Matthias Liepe, P4456/7656, pig, Coell Uivesity lide
6 U T egy desity fo T mode, UTM egy desity fo TM mode, UTM egy desity fo TM mode, y -.5 y Matthias Liepe, P4456/7656, pig, Coell Uivesity lide Matthias Liepe, P4456/7656, pig, Coell Uivesity lide
7 DC Aeleatos: Use high DC voltage to aeleate patiles Cooft ad Walto's eletostati aeleato 93 No wo doe by mageti fields Potos wee aeleated ad slammed ito lithium atoms poduig helium ad eegy. Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 3 Use time-vayig fields! Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 4
8 F Cavities The mai pupose of usig F avities i aeleatos is to povide eegy gai to haged-patile beams The highest ahievable gadiet, howeve, is ot always optimal fo a aeleato. Thee ae othe fatos both mahie-depedet ad tehology-depedet that detemie opeatig gadiet of F avities ad ifluee the avity desig, suh as aeleato ost optimiatio, maimum powe though a iput ouple, eessity to etat HOM powe, et. I may ases equiemets ae ompetig. Taiwa Light oue yomodule Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 5 NC o C elatively low gadiet 9 MV/m tog HOM dampig Q ~ High aveage F powe hudeds of W C avities PP II Cavity KK avity Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 6
9 NC o C High gadiets Modeate HOM dampig eqs. High pea F powe ILC:, avities! ILC / XFL avities Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 7 CAF avities F avities Modeate to low gadiet 8 MV/m elaed HOM dampig equiemets Low aveage F powe 5 3 W L yomodule Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 8
10 F avities Modeate gadiet 5 MV/m tog HOM dampig Q 4 Low aveage F powe few W Coell L avities NL L avity Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 9 tadig wave avity. Tavelig wave avity wave guide. Matthias Liepe, P4456/7656, pig, Coell Uivesity lide
11 Cylidial Waveguide: TM has logitudial eleti field ad ould i piiple be used fo patile aeleatio ut: phase veloity of wave > > speed of patile -> o aveage eegy tasfe to beam! olutio: Dis Loaded Waveguide Iis shaped plates at ostat sepaatio i waveguide lowe phase veloity Iis sie is hose to mae the phase veloity equal the patile veloity Matthias Liepe, P4456/7656, pig, Coell Uivesity lide opeatio V goup V patile opeatio Matthias Liepe, P4456/7656, pig, Coell Uivesity lide
12 Iises fom peiodi stutue i waveguide -> Iises eflet pat of wave -> Itefeee -> Fo loss fee popagatio: eed dis spaig d d λ p π pd pitege d Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 3 π eletio of itege p : λ p Log iitial settlig o fillig time, ot good fo pulsed opeatio with vey shot pulses. p4 p3 mall shut impedae pe legth shut impedae detemies how muh aeleatio a patile a get fo a give powe dissipatio i a avity. V sh P Commo ompomise. Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 4
13 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 5 Time depedet eletomageti field iside metal bo egy osillates betwee eleti ad mageti field! Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 6
14 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 7 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 8
15 Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 9 5MH Cavity of DOI: 3. m f M. 4967GH l The fequey is ieased ad tued by a tuig pluge. l A idutive ouplig loop eites the mageti field at the equato of the avity. Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 3
16 LC Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 3 t H ˆ, ˆ H T TM TM. 45 it e. 45 it H i e η. 45 µ, η ε Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 3
17 Highe Fequey Ode tadig Wave Modes TM mp T mp, m,, p H,, TM Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 33 t V i β ρ, e d d d si i V e d d β β d T d β T T T t t tasit eit ete d βλ V d π T /π a a V /d d βλ/ Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 34
18 ufae uets H esult i dissipatio popotioal to the sufae esistae s : Dissipatio i the avity wall give by sufae itegal: egy desity i eletomageti field: ε H u µ eause of the siusoidal time depedee ad 9 phase shift, the eegy osillates ba ad foth betwee the eleti ad mageti field. The stoed eegy i a avity is give by U µ H dv ε V V dv Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 35 Quality fato avity field [ab. uits] stoed eegy Q aveage powe loss U U π P T P τ Δ µ H dv V Q s H ds π ~ 4 ~ adwidth Fequey.3 GH [H] The F system has a esoat fequey The esoae uve has a haateisti width Δ Q
19 Geomety fato G Q s G µ H dv V G H ds G 57 Ohm Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 37 hut impedae ad /Q V sh P V sh P a sh P 4 P sh V Q U /Q 96 Ohm Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 38
20 V V V V P s sh Q sh / Q s Q sh / Q s G sh / Q G /Q Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 39 Pillbo vs. eal life avity Coell C 5 MH 7 88 /ell.5 5 Oe/MV/m H p p /Q Matthias Liepe, P4456/7656, pig, Coell Uivesity lide 4
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