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

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

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Reflection <strong>and</strong> Transmission Coefficents<br />

10 0<br />

10 0<br />

2 5 10 1<br />

2 5 10 2<br />

2 5 10 3<br />

2 5 10 4<br />

Wavenumber (cm -1 10<br />

)<br />

-2<br />

10<br />

5<br />

2<br />

-1<br />

5 R[E ||] wg<br />

2<br />

R[Ek]wgisthereectioncoecientofthewiregridfortheelectriceldcomponentparalleltothe<br />

T[E] gc<br />

TheenergyspectrumcanbederivedbyFouriertransformingtheautocorrelationdeducedfromthe wires,<strong>and</strong>T[E]gcisthetransmissioncoecientoftheGolaycellentrancewindow. wires,R[E?]wgisthereectioncoecientofthewiregridforthecomponentperpendiculartothe Figure5.13:LimitationofsomeopticalcomponentsintheMichelsonpolarizinginterferometer.<br />

R[E ] wg<br />

data.SincetheFouriertransformofasampledfunctionwithsamplingintervaltisa1=t-periodic FastFourierTransformalgorithm(FFT)[47]becauseofthesamplednatureoftheexperimental interferogram.However,wecannotperformanexactFouriertransform<strong>and</strong>havetousest<strong>and</strong>ard function,thefrequencyresolutionwillbeoftheorderof1=(2Nt)ifNisthenumberofsamplings 5.5.5ExperimentalResultsUsinganAutocorrelationTechnique acquired.Againnotethatt==cisrelatedtotheOPD<strong>and</strong>therefore,foraninterferogram acquiredwithmirrorstepsof,thefrequencyspectrumresolutionis1=(4N). ArstsetofmeasurementswasperformedintheperiodpriorrstlasingoftheIRFEL.Typically,it wasfoundthattheGolaycellcouldeasilydetect,withafairlygoodsignalovernoise,thecoherent transitionradiationpowergeneratedastheelectronbeamwasinlowdutycyclemode(theso-called tune-upmode);signalswithamplitudeoftheorderof1Vwereseeninthiscase.

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