High Brightness Electron Beam Diagnostics and their ... - CASA

High Brightness Electron Beam Diagnostics and their ... - CASA High Brightness Electron Beam Diagnostics and their ... - CASA

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6 5 4 3 2 1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 2 0 −2 −4 −6 −8 0 1 2 3 4 5 6 7 8 9 10 x 10 6 −10 6 5 4 3 2 1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 1 2 3 4 5 6 7 8 9 10 x 10 6 6 5 4 3 2 1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 −2 −4 −6 −8 −10 0 1 2 3 4 5 6 7 8 9 10 x 10 6 FigureC.1:Exampleofphaseretrievalforabi-gaussian-likebunchdistribution.Threetypeof (c) (e) transform(dashlinesonplot(b),(d),and(f))andtherecoveredphaseusingthedispersionrelation (crosses)onthesameformerplots. bi-modaldistributions(a),(c)and(e)arepresentedalongwiththeexactphaseoftheirFourier Distance (a.u.) Distance (a.u.) 0 (d) (f) −5 −10 −15 −20 Frequency (a.u.) Frequency (a.u.) Phase (rad) Bunch Population (a.u.) Phase (rad) Bunch Population (a.u.) Distance (a.u.) Frequency (a.u.) Bunch Population (a.u.) Phase (rad) (a) (b)

FigureD.1:OverviewoftheRF-controlsystemfortheIRFEL. 185 Buncher Photocathode Laser Cryounit (2 Cavities) GANG PHASE SRF- Linac (8 Cavities) RF Reference (Master Oscillator) Beam - LEGEND - Phase Shifter Attenuator Klystron AppendixD TheRadio-FrequencyControlSystem

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x 10 6 FigureC.1:Exampleofphaseretrievalforabi-gaussian-likebunchdistribution.Threetypeof<br />

(c)<br />

(e)<br />

transform(dashlinesonplot(b),(d),<strong>and</strong>(f))<strong>and</strong>therecoveredphaseusingthedispersionrelation (crosses)onthesameformerplots.<br />

bi-modaldistributions(a),(c)<strong>and</strong>(e)arepresentedalongwiththeexactphaseof<strong>their</strong>Fourier<br />

Distance (a.u.)<br />

Distance (a.u.)<br />

0<br />

(d)<br />

(f)<br />

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Frequency (a.u.)<br />

Frequency (a.u.)<br />

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Phase (rad) Bunch Population (a.u.)<br />

Distance (a.u.)<br />

Frequency (a.u.)<br />

Bunch Population (a.u.)<br />

Phase (rad)<br />

(a)<br />

(b)

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