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Tapering Enhanced Stimulated Superradiant Amplification Experimental Program — Fermilab (FERMILAB-SLIDES-21-0147-AD)

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A Fermilab slide presentation (FERMILAB-SLIDES-21-0147-AD) on the Tapering Enhanced Stimulated Superradiant Amplification experimental program, presented by P. Musumeci on behalf of the TESSA collaboration. The outline covers the TESSA roadmap, the single-pass TESSA‐FAST experimental plans, and a long term program that includes a TESSA oscillator, an ICS-based gamma ray source, and polarized positron production. The slides state that the TESSATRON measured a record 10 % efficiency. The listed goals of TESSA‐FAST include the first experimental measurements of the spectral and transverse profile of the amplified radiation and a demonstration of record single pass energy extraction. The conclusions state that a formal proposal to the FAST/IOTA facility is to be submitted soon.

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Tapering Enhanced Stimulated Superradiant Amplification experimental program

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“Tapering Enhanced Stimulated Superradiant Amplification Experimental Program — Fermilab (FERMILAB-SLIDES-21-0147-AD).” Original at www.osti.gov. Archived at Pandemic Darlings, https://pandemicdarlings.com/source-documents/2021-us-bureau-of-labor-statistics-2021b-us-department-of-the-treasury-2021a-federal-reserve-board-2021-and-hale-et-al/, SHA-256 438bb67eea42c277ca5aa0b7a8d2a05222fb50669aeaa3521d4f1199b2d1e5a2.

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Fermilab
Tapering Enhanced Stimulated Superradiant Amplification
experimental program

FERMILAB-SLIDES-21-0147-AD




This manuscript has been authored by Fermi Forward Discovery Group, LLC

under Contract No. 89243024CSC000002 with the U.S. Department of Energy,

Office of Science, Office of High Energy Physics.
Tapering Enhanced Stimulated
  Superradiant Amplification
    experimental program

              P. Musumeci
    on behalf of TESSA collaboration
TESSA‐FAST collaboration
    J. Duris, N. Sudar, Y. Park, A. Fisher, P. Denham Graduate Students (UCLA)

    A. Zholents, J. Byrd, A. Lumpkin (Argonne National Laboratory)

    A. Murokh, T. Hodgetts, R. Agustsson (Radiabeam Technologies)

    S. Webb, C. Hall (Radiasoft)

    A. Gover (Tel Aviv University)

    S. Nagaitsev, D. Broemmelsiek, A. Valishev, G. Stancari (FNAL)

    Funding agencies : DOE SBIR/STTR program, DOE BES (SCGSR + UCLA)
Outline
• Electron beam‐based high efficiency radiation sources
• TESSA roadmap
• Near term proposal.
   • Single‐pass TESSA – FAST experimental plans
• Long term program.
   • TESSA oscillator.
   • ICS‐based gamma ray source
   • Polarized positron production
    How to efficiently extract energy from relativistic e‐beams?
Single molecule imaging          EUV lithography




 High energy lasers              High power THz sources




 High efficiency enables high average and peak power light sources
Unique characteristics of ponderomotive interaction in magnetic undulator
      Particle acceleration                       ‐                    Radiation generation
           In an FEL energy in the e‐beam is          In an IFEL the electron beam absorbs
           transferred to a radiation field           energy from a radiation field.

                                                      High intensity
                                                      laser


                                          𝜆 1 𝐾
                                    𝜆
                                            2𝛾

   • “Without radiation there is no acceleration” – R. Palmer
   • “To be efficient an accelerator must be able to operate in reverse”
   • IFEL/FEL is a particularly advantageous interaction scheme in this regard
       • Vacuum‐based accelerator. No mechanism for energy loss. Efficient energy exchange
       • Tunability. Resonance can be adjusted using undulator parameters and beam energy
         (from FIR to X‐rays)
       • Plane wave or far field accelerator: minimal 3D effects. Transverse beam cross‐
         section can be mm‐size for m‐scale radiation wavelength.
                           Lessons from IFEL research
• Rubicon IFEL experiment demonstrated high
  quality acceleration of 50 MeV e‐beam at BNL
  ATF
• Strongly tapered helical undulator
• Prebuncher to maximize fraction of particles
  captured in laser accelerator
                                                 100 MeV/m
• Monochromatic output < 2 % energy spread       11 periods
                                                 0.5 m undulator
• Stability <1.5% energy jitter                  300 GW CO2 laser
• Emittance preservation


               Laser off energy spectrum



              IFEL output energy spectrum
                 NOCIBUR IFEL deceleration experiment
• Use RUBICON IFEL set up in reverse at BNL ATF
• Retune tapering profile for 0.54 m long helical undulator for high gradient deceleration
• Demonstrated >30% conversion efficiency from a relativistic electron beam

                                        • Maximized capture with prebuncher modulator + chicane
                                        • Up to 45% of 100 pC beam captured and decelerated




                                                      Prebuncher      Undulator
                                                                          Resonant energy
                                               Undulator parameters
       Tapering Enhanced Stimulated Superradiant Amplification
• Reversing the laser‐acceleration process, we can extract a large fraction of the energy from an
  electron beam provided:
    • A high current, microbunched input e‐beam
    • An intense input seed
    • High gain regime: strong tapering matches decelerating gradient to growing radiation field amplitude




                                                                                  IFEL deceleration



             J. Duris et al. New Journal of Physics, 17 (2015)
Tapered FEL
• 𝜌 is the dimensionless FEL parameter, for short
  wavelength typically ~ 0.1% or less
• High gain FEL
    • Exponential growth (LG~ 1/𝜌)
    • Saturation (Ps~ 𝜌Pb)
• 1981 KMR seminal paper on undulator tapering
    • Hamiltonian model
    • Concept of resonant phase
    • Instabilities
• Old and renewed interest
                                                    Orzechowski et al., PRL 57, 2172 (1986).
    • ELF. Waveguide FEL @35 GHz
    • Paladin experiment at 10 um
    • Nocibur / TESSA
    • Self‐seeded cases for TW X‐FEL
                                                             Demonstrated 34 % efficiency
                                                             in a waveguide @ 35 GHz
                                 TESSA examples & roadmap
  Low gain regime               High gain regime                   Optical cavity                           Applications

                                    TESSA‐FAST                                                           EUV lithography
                           Obtain first measurements of                                    LCLS2‐like injector
                           spectral and spatial properties                                 4 kA @ 1 GeV = 4 TW
                           of amplified radiation                     TESSO                @MHz‐reprate 10‐20 kW
       Nocibur                                                                             of EUV radiation power
                                                              No intense input seed        Duris et al. NJP 2015
                                                              available
                                                              Optical cavity and
                                                              recirculating scheme                   Laser ablation propulsion
                                                              Igniter pulse / RAFEL        SRF accelerator driver
                                                                                           1 m MW‐average power laser
                                                              configuration
Proof‐of‐principle test                                                                    with TW‐peak power
Simulation benchmark.                                                                      Atmospheric transparency
                           High energy high brightness                                     window. Phipps et al. JOSAB 2018
35 % efficiency @10 um
                           beamline
Deceleration from 65 ‐ >
35 MeV                      TESSATRON at Pegasus                                           High flux Polarized Gamma‐Ray source
                           10 % efficiency                                                  Inverse Compton Scattering
Sudar et al. PRL 2016      THz range                                                        High rep‐rate IFEL acceleration to boost photon
                                                               J. Duris et al. PRAB 2018    energy
                           Zero‐slippage
                           waveguide FEL                                                                           A. Murokh et al. Snowmass LOI
                           Prebunched e‐         CPPWG
                           beam                 Undulator
                                                Magnets

                           In operation at UCLA Pegasus !!!
TESSATRON
• Strongly tapered helical Theseus undulator installed at UCLA Pegasus (5‐8 MeV
  beamline)
• Zero‐slippage FEL physics. Use of waveguide to match e‐beam and radiation
  group‐velocity + satisfy FEL resonant condition                E‐beam spectrum
• Measured record 10 % efficiency
                              TESSA‐FAST project
• UCLA – RadiaBeam – ANL – FNAL – collaboration
• Main scientific goals:                                          Beam Energy            220 MeV
   • First experimental measurements of spectral and              Peak current           0.6 kA
     transverse profile characteristics of the radiation          Emittance              3 um
     amplified in the TESSA regime of operation.                  Charge                 1 nC
   • Demonstration of single pass record high energy              Energy spread          0.1 %
     extraction efficiency from a relativistic electron beam in
     the VIS region                                               Undulator length       4 x 0.96 m
   • Open the path to MHz‐rep rate Tapering Enhanced              Radiation wavelength   515 nm
     Oscillator multi‐kW high power lasers                        Seed power             1 GW
   • Enable high rep‐rate Inverse Compton Scattering based        Interaction geometry   Helical
     polarized gamma‐ray sources for nuclear
     physics/polarized positron production
Motivations for TESSA at FAST
• UCLA workshop on High Efficiency FELs. W. Fawley : “Before big $$$ are spent on a TW‐class x‐ray
  FEL undulator, we need systematic, well diagnosed experimental studies of best tapering
  strategies”
• Experiment originally designed for 340 MeV in LEA tunnel at APS linac, tuned for 266 nm
  wavelength. Not a good match due to APS‐U schedule
• Scarcity of available high brightness beam facilities in the 200‐400 MeV range. Leverage
  availability (time and space) of FAST linac
• Extend TESSA to SRF‐linac is a stepping stone towards high average power radiation sources.
• Enable very high flux ICS‐based polarized gamma‐ray source. Nuclear physics / Polarized Positron
  Production
• Convergence of interests from University‐National Laboratory‐Industry.
                                TESSA‐FAST experiment setup
40.625 MHz                          Amplitude Magma system

                                          515 nm seed
RF 650 MHz

                                           Matching quads + diagnostics
              D600   Injection chicane
                                         Prebuncher          Theseus undulators

                                              Bunching chicane
From FAST linac
                                                                                  D600 dipole
Requires installation of TESSA beamline components including :                            Also needs:
o Seed laser system (at company, waiting to be shipped)                                   Beamline supports
o Prebuncher (in hand, tuned)                                                             Power supplies
o Injection and Bunching chicane (in hand, ready to be shipped)                           Vacuum pump and controllers
o 4 undulator sections (2 ready, 2 to be built using latest round of SBIR funding)        Control system integration
o 3 break sections (1 prototype built)
o Matching quadrupoles (missing)
o Radiation and beam long. phase space diagnostics (partially developed in collaboration with ANL)
                                      TESSA simulations
                           Injection Chicane
                    D600                       MQ1      Prebuncher Chicane
                                                                             Theseus 1   Theseus 2   Theseus 3   Theseus 4



                                                     Prebuncher
                                                                  Matching quads


Time‐independent simulations
•   ~9 % power efficiency                                                                            Beam Energy             220 MeV
•   Doublet permanent magnet quadrupole (112 T/m) channel                                            Peak current            0.6 kA
•   75 um average rms size in undulators                                                             Emittance               3 um
•   13 GW output power
                                                                                                     Charge                  1 nC
                                                                                                     Energy spread           0.1 %
                                                                                                     Undulator length        4 x 0.96 m
                                                                                                     Radiation wavelength    515 nm
                                                                                                     Seed power              1 GW
                                                                                                     Interaction geometry    Helical
    Theseus: Tapered HElical SEgmented Undulator System
• 2 orthogonal Halbach arrays with constant       Undulator period           3.2 cm
  period and adjustable gap                       Peak field                 0.75 T
• Improved design from Rubicon undulator
• 1 m long sections                               K_max                      2.3
• Completed prebuncher (8 periods) and two        Resonant energy @ 515 nm   220 MeV
  undulator sections ( 28 periods)                Gap (min/max)              5.5 mm / 7.5 mm
• Entrance and exit sections add ~ 1 period per
  section to FEL interaction (GPTFEL)
• Measurements, tuning and fiducialization
  ongoing

                           Prebuncher




                                                  THESEUS I                    THESEUS II
       Hall probe scans                                 Pulse wire
3D mini Hall probe (Senis‐GMW)                    Final trajectory adjustment
1 m translation stage                             Entrance and exit magnet tuning
Mounting system for centering Hall probe in       Trajectory axis references to alignment
undulator (u‐beam+carriage)                       monument on undulator body to < 40 um
Need to keep/register the probe on the            Consider checking trajectory after shipping?
undulator axis within 200 um and 2 degrees.
Linear system allows Matlab optimization for
magnet insertion




                                               Tol=+/- 0.2%
       Prebuncher chicane                                        3 magnet bunching chicane parameters
                                                                 Dipole Strength           0.078T, 0.16 T (center)
                                                                 Bend Angle                .009 rad, .018rad (center)
FROM injection chicane                              To THESEUS   Magnetic Length           146mm
                                                                 Physical Chicane Length   410 mm
                                                                 Prebuncher to Theseus I   1.368 m
                                                                 entrance length
                                         Microbunching           R56                       < 18 um
                                         diagnostics chamber
           Field and e‐beam Trajectory
                                                                                                     Same dipole as
                                                                                                     injection chicane

                                                                                                     Old Neptune
                                                                                                     chicane.

                                                                                                     Thanks to Jamie
                                                                                                     Roseznweig
 Microbunching Diagnostics Chamber
‐ 2 stations in storage at ANL from A. Lumpkin
‐ FEL light and COTRI station with L=6.3 cm between foils.
‐ 50 um foil to block laser and preserve microbunching




                                                             Old setup
                    THESEUS Break Section Design
                                                        o One of the most critical section of the experiment
                                                        o 162.6 mm long
                                                        o Physics requirement: minimize inter‐undulator
                                                          distance where radiation is quickly diffracting and
                                                          losing intensity.
                                                        o Quadrupole doublet to refocus beam
                                                        o Phase shifter design based on offset quadrupoles
                                                          + electromagnetic dipole
                                                        o GPT model to evaluate dispersion effects
                                                        o Vacuum + diagnostics




*EMD design and position in the figure is not updated
                        Time‐dependent simulations
For equal bunch charges, a flatter current distribution yields higher energy efficiency due to slippage
Necessary to correct linac compression nonlinearity (no linearizer compared to advanced FEL beamlines) to better control
current distribution for four‐undulator setup


                                                                               Longitudinal phase space from LINAC
                                TESSA Oscillator = TESSO
• Oscillator is needed whenever high intensity seed is not available                         J. Duris, P. Musumeci, N. Sudar, A. Murokh,
                                                                                             A. Gover. Tapering Enhanced Stimulated
• Solution: embed TESSA in optical resonator                                                 Superradiant Oscillator. Physical Review
                                                                                             Accelerators and Beams 21, 080705 (2018)

• Reach very high average power with high rep‐rate CW SRF accelerators
    • Exploit 3 MHz (or 9 MHz if available) pulse train capability at FAST
• Oscillator start‐up : an open problem. Various possibilities.
    • Igniter pulse                                                                                 9 MHz 220 MeV 1.2 nC
    • Control bunch parameters along train                                                         ‐> 12 kW average power
    • Ramping of bunching chicane R56
                                                             Oscillator output
                                                                                                  20 % efficiency would give
                                                                                                    400 kW in pulse train
                                                   ~50 % beamsplitter        Igniter pulse          2.4 kW average power

                         9 MHz cavity                                                         50 mJ per pulse – synch with e‐
                                                                                                          beam
            Oscillator transverse and longitudinal modes
• Lots of work to do: Optimize focusing optics. Optimize return fraction. Study stability to e‐beam current
  fluctuations
• Modeling tools in hand. Use field propagator + GENESIS/GPTFEL to simulate multi‐pass in cavity
• Important connection with RAFEL and XFELO program at SLAC
• Longitudinal and transverse active cavity eigenmodes established after < 10 passes. Short pulse train
  would be sufficient for first studies
• Cavity detuning/ spectral filtering is critical to select optimal lasing modes
                                                                               Longitudinal TESSO cavity eigenmode
• Mirrors and stretcher optics may require cooling at
  very high average powers
                   Transverse TESSO cavity eigenmode
                   ICS‐based Gamma‐ray production
For high flux gamma ray production via Compton the main          Parameter          Value
issue is the laser rate. His @ TUNL/Duke uses an FEL +          E‐beam energy      220 MeV
storage ring to generate ~10^10 ph/sec
                                                                 E‐beam charge      1.2 nC
Tunability (limited by optics) scales as 𝛾                       Laser energy       50 mJ (20% efficiency)
                                                                 Laser wavelength   515 nm
@ 9 MHz train / 5 Hz ‐> 5∙10^11 photons/sec – ps pulses
                                                                 Gamma ray energy   1.8 MeV
Synchronization scheme. A possibility is two light pulses in a   Gamma ray flux     >10^7 per shot
2x longer cavity

Helical geometry ‐ > Circularly polarized gammas

                         50 mJ per pulse 9 MHz laser pulses synched with e‐beam

                                                    Gamma rays
  Polarized positron production for e+/e‐ linear collider                                    Case study for 40 MeV ph

• ILC/Higgs factory really benefits from polarized positron source
• Current scheme uses 200 m long undulator (K = 1) and 120 GeV beams to get the
  required gamma ray flux (10^14 ph/sec) at 10 MeV.
• ICS‐based source considered, but laser‐power limited
• Murokh, Musumeci et al. Snowmass 21 LOI. Compact source proposed based on
  IFEL acceleration + ICS + TESSA deceleration
• Optical energy recirculation
• Note: for ILC, with laser‐based Compton source it is hard to get close to 1 ph/e‐
  so in order to get as many e+ as e‐, one would need to start with much higher e‐
  current
                                           Recirculating 515 nm cavity
               Double Seed pulse
               TW power. 515 nm
                                                                                   200 MeV


10 MeV gamma rays

                                                    IFEL acceleration to 500 MeV
Conclusions
 • High gradient FEL interaction can achieve electrical‐to‐optical energy conversion
   efficiency up to the tens of percent !
    • BNL Nocibur experiment demonstrated 30 % energy extraction
    • UCLA TESSATRON results shows 10 % efficiency and high gain in THz regime
 • TESSA mechanism provides direct path to high peak power + high average power
   radiation sources
    • FAST is the only available high energy SRF accelerator beamline in US
    • Leveraging significant investment in hardware from UCLA/RBT in the last 5 years
 • Long range research program and various end‐applications
    • TESSA‐FAST – First experiment targeting single pass high efficiency at 515 nm.
    • TESSO – optical resonator cavity. build‐up. High average power lasing.
    • Application developments (ICS‐based gamma ray source, SLAP, EUV‐lithography, TW‐XFEL)
 • Formal proposal to FAST/IOTA facility to be submitted soon !!!


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