![Page 1: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/1.jpg)
Generation of THz radiation at KEK LUCX facility
K. Lekomtsev on behalf of LUCX collaboration
JAI Seminar: Introduction Seminar by Recently Started Research Staff
![Page 2: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/2.jpg)
Personal Introduction
JAI Seminar, Oxford University 2
KonstantinLekomtsev
Currently:Marie– CurieresearchfellowatRoyalHollowayUniversityofLondon.
2012– 2016:PostdoctoralresearcheratHighEnergyAcceleratorResearchOrganization(KEK),Tsukuba,Japan.
• AnalyticalstudiesandSimulationsoftheradiativephenomenainelectronaccelerators(Transition,Diffraction,Cherenkov,Smith-Purcelletc.).
• Highpowerfslasersystemtuningandmaintenance,experimentalstudiesattheLaserUndulator CompactX-rayfacility(LUCX).• etc.
2009– 2012:Marie– Curieearlystageresearcher(PhDstudent)atRoyalHollowayUniversityofLondon
• AnalyticalstudiesofcoherentDiffractionradiation.• ExperimentalstudyatCLICTestFacility3atCERN.• etc.
Earlier: NationalResearchNuclearUniversity(MoscowEngineeringPhysicsInstitute)
• MasterdegreeinAppliedMathematics.
![Page 3: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/3.jpg)
Introduction
JAI Seminar, Oxford University 3
1.OverviewoftheLUCXfacility.a.Beamparameters.b.Multi-bunchbeamgeneration.
2.MonochromaticityofcoherentTHzSmith-Purcellradiation(SPR).a.Brieftheoreticalbackground.b.ParticleInCellsimulationsofSPRspectrum.c.Discussionofexperimentaldata.
3.CherenkovSmith– Purcellradiation(ChSPR)fromcorrugatedcapillary.a.Brieftheoreticalbackgroundandcomparisonwithsimulations.b.ParticleInCellsimulationsoftheradiationfrommulti-bunchbeamandcapillarywithreflector.c.Discussionofexperimentaldata.
![Page 4: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/4.jpg)
LUCX facility: Overview
JAI Seminar, Oxford University 4
“Femtosecondmode”n Ti:Sa lasern e-bunchRMSlength~100fsn e-bunchcharge<100pCn Singlebunchtrain,Micro-bunching4-16(4isconfirmed)n TypicalRep.rate3.13Hzn Experiments:THzprogram
“Picosecondmode”n Q-switchNd:YAG lasern e-bunchRMSlength~10psn e-bunchcharge<0.5nCn Multi-bunchtrain2- few103
n MaxRep.rate12.5Hzn Experiments:Compton,CDR
• TheLaserUndulator CompactX-rayfacility(LUCX)isamultipurposelinearacceleratorwhichwasinitiallyconstructedasanRFguntestbenchandlaterextendedtofacilitateComptonscatteringandcoherentradiationgenerationexperiments.
![Page 5: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/5.jpg)
LUCX laser system
JAI Seminar, Oxford University 5
• FemtoseconddurationelectronbuncheswithTHzrepetitionfrequency illuminateaphotocathodeandandelectronbeamisgeneratedonasingleRFacceleratingfieldcycle.
• Titanium– Sapphire“ChirpedPulseAmplificationtechnique”lasersystemisusedtogenerateasequenceofmicrobunches.
![Page 6: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/6.jpg)
Micro-bunch beam generation and characterization
JAI Seminar, Oxford University 6
• TheRMSelectronbunchlengthismeasuredbythezero-phasingmethod*.Timecorrelatedmomentumdeviation imposedonthebunch ifweoperateatthezerocrossingoftheacceleratingwave.
• ThebeamisthendispersedbyadipolemagnetBH1GsothatthedifferenttimeslicesoftheelectronbunchareprojectedontoascintillatingYAGscreenatdifferenthorizontalpositions, andthus beamimageonthescreenshows theintensity distributionoftheelectronbunchalongitstemporalprofile.
• Thecorrelation oftheRFphasewiththeYAGbeamimageshiftismeasured.• ThelinearcorrelationofthisapproximationgivesthescaleofthehorizontalimagesizeinRFdegrees,whichcanberecalculatedtotimescale.
*D.X.Wangetal,Phys.Rev.E57,2283 (1998).
![Page 7: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/7.jpg)
Monochromaticity of SPR
7
Smith-Purcellradiationappearswhenchargedparticlesmoveaboveandparalleltoadiffractiongrating.Spectrallinespositionsaredefinedbythedispersionrelation*:
𝜆" =$"
%& − 𝑐𝑜𝑠𝜃 ; (1)
where 𝜆"isthewavelengthoftheresonanceorder𝑘, 𝑑 isthegratingperiod, 𝛽 istheparticleintheunitsofthespeedoflight,and 𝜃 istheobservationangle.
Thespectral-angulardistributionofthecoherentSPR** producedfromgratingwithfinitenumberofperiodsN:
$/0$1$2 =
$/03$1$2
456/ 78456/ 8 𝑁: + 𝑁: 𝑁: − 1 𝐹 ; (2)
𝜑 = 𝑑 ?1@ 𝛽A% − 𝑐𝑜𝑠𝜃 - phaseassociatedwithstripsperiodicity, $
/03$1$2 isthespectralangulardistributionfromasinglegratingperiod,
𝜈 isradiationfrequency,𝑁 isthenumberofgratingperiods,𝑁: isthebunchpopulation,and𝐹 isthebunchform-factor.
From(2),ifFWHMistakenasanabsolutespectrallinewidth,themonochromaticity isdefinedas:
∆DD =
E.GH"7 . (3)
*S.J.SmithandE.M.Purcell,Visiblelightfromlocalizedsurfacechargesmovingacrossagrating,Phys.Rev.92,1069 (1953).**A.P.Potylitsynetal.,DiffractionRadiationfromRelativisticParticles,Springer(2010).
![Page 8: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/8.jpg)
Monochromaticity of SPR
JAI Seminar, Oxford University 8
Measurementslimitations:
ThewidthofSPRspectrallinescanbecomelargeriftheyaremeasuredbythedetectorplacedinthesocalled“pre-wavezone”.IfthegratingtodetectordistanceisL,thenthefar-fieldzone(orwavezone)condition isdeterminedby*:
𝐿 ≫ 𝐿KK = 𝑘𝑁L𝑑 1 + 𝑐𝑜𝑠𝜃 .
Monochromaticityoftheradiationgeneratedfromaninfinitegrating(𝑁 →∞) andmeasuredwithafiniteaperturedetector∆𝜃:
∆DD =
456OPQA@R4O
∆𝜃.
Assumingthatthereallineshape𝛿𝜆T andthespectrometerresolution𝛿𝜆4U canbeapproximatedbyaGaussiandistribution,theFWHMofthemeasuredline:
𝛿𝜆 = 𝛿𝜆TL + 𝛿𝜆4U
L�.
*D.V.KarlovetsandA.P.Potylitsyn,JETPLetters84,489 (2006).
![Page 9: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/9.jpg)
Particle in Cell simulations (SPR)
JAI Seminar, Oxford University 9
Simulation parameter Value
L 500mm
D 60mm
h 0.6mm
d 4 mm
𝛼 30deg.
Bunch length 0.5ps
Bunchtransversesize 250𝜇m
Beamenergy 8MeV
• SimulationswereperformedinCSTParticleStudio,ParticleInCellSolver.• Consideredtwocalculationdomainsinordertoshowthe influenceof
thepre-wavezoneeffectforthefirstdiffractionorderofSPR.
• SPRspectrumobtainedbyrecordingelectricfieldcomponentsasfunctionsoftime andthenbyperformingFouriertransformofthetimedependenceofthedominantcomponent.
![Page 10: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/10.jpg)
Particle in Cell simulations (SPR)
JAI Seminar, Oxford University 10
• Boththesimulationandthetheoryshowthathigherorderspectrallinesbecomemoremonochromatic.
• Whencomparingthelinewidthsforthetheoryandthesimulation,itisimportanttorememberthatthetheorywasdevelopedfor𝑁 → ∞andnottakingintoaccountrealshapeofthegrating.
ComparisonoftheSPRspectrallinewidths:
![Page 11: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/11.jpg)
Experimental study (SPR)
JAI Seminar, Oxford University 11
• Vacuumwindow:12mmthick2deg.wedgedsapphire,witheffectiveapertureof145mm.
• 5-axismanipulatorsystemwasinstalledonthetopofthevacuumchamber.Usedforfineadjustment ofthegratingpositions in3orthogonal directionsandalsoforthecontrolforthe2rotationalangles.
• Thegratingwasalignedwithrespecttotheelectronbeamusing theforwardbremsstrahlungappearingduetodirectinteractionoftheelectronbeamwiththetargetmaterial.
![Page 12: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/12.jpg)
Experimental study (SPR)
JAI Seminar, Oxford University 12
MeasurednormalizedTransitionRadiationspectrumcanbeusedasspectralefficiencyoftheentiremeasurementsystem,including:
ü spectraltransmission efficiencyofthevacuumwindow,ü detectorwavelengthefficiency,ü splitterefficiency,ü reflectioncharacteristicsofthemirrorsandabsorption inair.
SpectralresolutionofFourierspectrometer: 𝛿𝜆 defined asFWHMofthespectralpeakfromamonochromatic source:
YDD= 1.21 D
L[\]^,
where 𝐿56_ istheinterferometermaximumopticalpathdifferencefromzeroposition.
TransitionRadiationangularscanusing SBD320- 460
TransitionRadiationspectralmeasurements: Applying thiscriteriontotheinterferograms,thespectrometerresolution:
YDPDP
= 15%; YDbDb
= 6%
ThemeasuredpeaksFWHM:
YDPd
DP= 16%; YDb
d
Db= 6.1%
SBD60– 90GHzSBD320– 460GHz
![Page 13: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/13.jpg)
Theory and simulation of THz radiation from corrugated channel
JAI Seminar, Oxford University 13
Spectral– angulardistribution *oftheradiationgeneratedasaresultofthepointlikeelectronpassing throughcorrugatedchannelininfinite dielectric(𝑅 → ∞):
CST Particle In Cell simulation:
𝑐𝑜𝑠 𝛳 = L?g"$
+ %& h i� ;
ThediffractionordersofCherenkov andSmith-Purcellradiationpeakssatisfy the dispersion relation:
where𝛳 ispolarangle,𝛽 istheelectronspeed intermsofthespeedoflight,𝑘 isthewavenumberindielectric,𝑑 isthecorrugationperiod,𝑚 isadiffractionorder,𝜀 𝜔 isdielectricpermittivityasafunctionoffrequency.
*A.A.Ponomarenko et.al,Terahertzradiationfromelectronsmovingthroughawaveguidewithvariableradius,basedonSmith-PurcellandCherenkovmechanisms,NIMB309,223 (2013).
Bluecurve– corrugatedchannel.Reddashedcurve– channelwithconstantradius.
![Page 14: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/14.jpg)
PIC simulations (ChSPR)
JAI Seminar, Oxford University 14
x
y
• 3Dpowerpatternandthecorrespondingazimuthalcross-sections(𝜃 = 90 deg.)fortheradiationat300GHzfortheoff-centralbeampropagationx=0,y=1mm.
• Cherenkovradiationisreflectedbytheoutside boundariesofthecorrugatedcapillaryanddirectedatsmallangles𝜃 ≈ 10 deg.
𝑃U:q" =r i∆_ ,
∆𝑡 =0.13ns(simulationtime)
![Page 15: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/15.jpg)
Experiment (ChSPR)
JAI Seminar, Oxford University 15
15
x
z
y
zDet.
220
mm
θ≈ 40𝑑𝑒𝑔.
beam
x
y
xDet.beam
manX
θ≈ 40𝑑𝑒𝑔.
20 mm180 mm
20 mm
180 mm
Bunchsize:200x200𝜇𝑚
Bunchcharge:1bunch 25pC
Detector:SBD320– 460GHz
Quartzvacuumwindow:100mm(effectivediameter)
manY
![Page 16: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/16.jpg)
Experiment (ChSPR)
JAI Seminar, Oxford University 16
Cross-checkwithTransition radiation:
Positioning ofthecapillarieswithrespecttothebeam(bremsstrahlung, appearing duetodirectinteractionoftheelectronbeamwiththetargetmaterial):
![Page 17: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/17.jpg)
Experiment (ChSPR)
JAI Seminar, Oxford University 17
Thepolardistribution oftheradiation:
• The simulated geometry was identical to the realisticone with the exception of holders, which were nottaken into account in the simulations.
• The beam parameters were chosen to be the sameas during the time of the experiment, and the beamwas moving at 0.6 mm from the corrugation to allowfor 3𝜎 beam – corrugation separation.
• The power distribution was obtained by, first,calculating the power spectrum of emitted radiationin the frequency range 240 – 360 GHz. The radiationdirectivity pattern for each frequency was calculatedas well, hence it was possible to convert powerspectrum into the power distribution at the detectorlocations on the translation stage.
• After the converted power distribution wasobtained, the beam contribution in the powerspectrum was subtracted.
• The power spectrum of the radiation emittedthrough the surface of the outside boundary A ofthe calculation domain during the simulation time∆𝑡 was calculated as:
𝑃(𝜔) = ∫ ∯𝑺�� 𝜔 ∗ 𝒏𝑑𝐴𝑑𝑡∆_E ;
where 𝑺(𝜔) is the Poynting vector, n is a unity vector in theoutward normal direction from the boundary 𝐴of thecalculation domain.
![Page 18: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/18.jpg)
Experiment (ChSPR)
JAI Seminar, Oxford University 18
• Azimuthaldistributionoftheradiationwassimulatedusingthefar-fieldmonitorofCSTParticleStudio,whichextrapolatestheelectricfieldvaluesattheborderofthecalculationdomaintoobtaintheelectricfields inthefar-field(distances≫ 𝛾L𝜆)atasinglefrequency.
• Accordingtothedispersion relation:𝑐𝑜𝑠 𝛳 = L?g
"$+ %
& h i� the
frequencyat𝛳 = 90deg.(detZ =0)is300GHz(𝜆 = 1mm).
• Theredcurve:measurementoftheazimuthaldistribution oftheradiationat300GHz.
Theazimuthaldistributionoftheradiation:
![Page 19: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/19.jpg)
Overview and outlook
JAI Seminar, Oxford University 19
• ThemainobjectiveoftheSPRstudywastodemonstratethefeasibilitytogenerateSPRwithmonochromaticitybetterthan1-2%,bychoosingahigherdiffractionorderandrelativelysmallnumberofperiods(intheorderof10).
• Themeasurementswerelimitedbyseveralfactors,includingtheresolutionofthespectrometer,thequalityofitsalignment,angularacceptanceofthedetector.Allofthesefactorscontributetothewideningofthemeasuredspectrallines.
• Furthermonochromaticityimprovementsareexpected ifamulti-bunchbeamisused.
• TheobjectivesoftheChSPR studyweretocross-checktheradiationwithotherwellknownradiationmechanism(TR),tostudytheeffectofcorrugationandmeasuretheradiationdistributions.
• Measured10-foldincreaseoftheradiationintensityforthecorrugatecapillaryincomparisontotheblankcapillary.• Confirmed thatthemaximumoftheradiationintensity isachievedfortheoff-centralbeampropagation.• Thecompositedesignofthecorrugatedcapillaryallowsforflexibility toeasilychangethegeometry,whichcanbeveryuseful
foravarietyofstudiesincludingradiationgeneration,beamenergyandchargemodulationetc.
![Page 20: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/20.jpg)
Marie Sklodowska-Curie Horizon 2020 project
JAI Seminar, Oxford University 20
Researchobjectives:
• toinvestigateCherenkovandSmith- PurcellmechanismsforTHzradiationgenerationusingEMsimulationtoolsandproposethemostefficienttargetconfigurationandobservationgeometry;
• tomanufacturearadiationsourcethatprovideshighpeakpower levelsandbasedonacompactlinearacceleratortechnologywithfs-durationbeam;
• toevaluatethepossibleapplicationsoftheinvestigatedradiationmechanismsforbeampositionandbunchlengthdiagnostics;• Toexpandresearchinterestsinthedirectionswhichallowforeffectiveskillsandknowledgetransfer(dielectricwake-field
acceleration,accelerator-scalewake-fieldsimulations,evaluationofpositiveandnegativeeffectsofwake-fieldsinaccelerator).• toprovidetheknowledgeexchangebetweenthepartnerorganizationsandotherinterestedpartiesviaseminars,satelliteand
progressmeetings,conferencesandworkshops;• toimprovethepublicawarenessabouttheongoingresearchviaoutreachactivities;• tofurtherdevelopprojectmanagementskills(financial,workflow,deliverablesplanningetc.)
Acknowledgements:
Thisprojecthasreceivedfunding fromtheEuropeanUnion’sHorizon2020researchandinnovation programme undertheMarieSklodowska-Curie grantagreementNo655179.
![Page 21: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/21.jpg)
PIC simulations (capillary with reflector)
JAI Seminar, Oxford University 21
Parameter Value
beamLorentz- factor,𝛾 16
frequency up to700 GHz
bunch length,𝜎�R6� 0.03mm
bunch transversesize,𝜎_Tq64�
0.3 mm
micro-bunch charge 0.1nC
Nofmicro-bunches 4
distancebetweenmicro-bunches
variable(0.25– 1mm)
capillarymaterial Fusedquartz
holdermaterial Copper
numberofperiods 30
cylindrical ringwidth,l 0.5mm
corrugationperiod,2l 1mm
groovedepth, r2– r1 0.2 mm
internal radius, r1 2mm
outer radius, r3 2.7mm
Simulationgeometry(generalview):
Simulationgeometry(meshviewinOyzplane):
z
y
x
Probe
• Electricfieldprobeislocatedoutsideofthecalculationdomain;• Thefieldvaluesattheprobelocationareobtainedbasedonthe
extrapolationofthefieldvaluesattheborderofthecalculationdomain*.
beam
*Yee K S, Ingham D and Shlager K 1991 Time-Domain Extrapolation to the far field based on FDTD calculations IEEE Trans. of Ant. and Prop. 39 410
![Page 22: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/22.jpg)
PIC simulations (capillary with reflector)
JAI Seminar, Oxford University 22
The power radiated through the surface of the outsideboundary 𝐴 of the calculation domain during thesimulation time ∆𝑡 at each frequency is given by thefollowing expression:
𝑃(𝜔) = ∫ ∯𝑺�� 𝜔 ∗ 𝒏𝑑𝐴𝑑𝑡∆_E ;
where 𝑺(𝜔) is the Poynting vector, n is a unity vector inthe outward normal direction from the boundary 𝐴 of thecalculation domain.
Single bunch:relatively flat response at all frequencies.
Blank capillary:power spectral modulation due to Cherenkov radiation.
Corrugated capillary:even larger spectral modulation if the distance betweenbunches is equal to the corrugation period.
Resonantcondition:
bunchdistance=corrugationperiod
![Page 23: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/23.jpg)
PIC simulations (capillary with reflector)
JAI Seminar, Oxford University 23
Beamposition:x=0mm,y=1mm
x
y
Form-factorsoffourbuncheswithdifferentbunchspacing,andtheformfactorofasinglebunch:
Spectralmodulationoftheradiationdependsontheperiodicityofthecorrugationaswellasthedistancebetweenbunches.
![Page 24: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/24.jpg)
Assembly of the capillary with holders
JAI Seminar, Oxford University 24
Capillarywithholders andradiationreflectorassembledonthebaseplate:
Laserscanswereperformedontheoutside surfaceofthecapillaryinstalledintheholders:
• Laserbeamscannedalongtheoutersurfaceofcorrugatedandblankcapillaries.
• Lightreflectedfromthesurfacedetectedbyanarraydetectorandtheverticaloffsetofthelaserbeamrecorder.
• Asaresultobtainedtheverticaloffsetasafunctionofthehorizontaltravelrange.
Both corrugated and blank capillaries are constructed as sets of cylindrical rings:
![Page 25: Generation of THz radiation at KEK LUCX facilityjaiweb/slides/2016_Lekomtsev.pdf · • Simulations were performed in CST Particle Studio, Particle In Cell Solver. • Considered](https://reader033.vdocuments.net/reader033/viewer/2022042108/5e87e59ba374bd0c512bcbe8/html5/thumbnails/25.jpg)
Experiment (capillary with reflector)
JAI Seminar, Oxford University 25
detY
detX
beamscan
holder
Target – beam separation and the corresponding radiation yield: