Relativistic Electron Beam Stimulated Coherent Phenomena mediated by Artificial Structures

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Relativistic Electron Beam Stimulated Coherent Phenomena mediated by Artificial Structures. Department of Physics, University of Oxford, Denys Wilkinson Building, Keble Road, Oxford, OX1 3RH, UK John Adams Institute for Accelerator Science. I.V. Konoplev. Contents. Introduction - PowerPoint PPT Presentation

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  • Relativistic Electron Beam Stimulated Coherent Phenomena mediated by Artificial StructuresI.V. KonoplevDepartment of Physics, University of Oxford, Denys Wilkinson Building, Keble Road, Oxford, OX1 3RH, UK

    John Adams Institute for Accelerator Science

  • ContentsIntroductiona/ Structures based on Two-dimensional Periodic Surface Lattices (PSL). b/ An eigenfield of the PSL of cylindrical topologiesc/ Synchronisation of an ensemble of oscillators distributed over a large surface aread/ Periodic Surface Lattice as an effective dielectricCollaborative research worka/ Cherenkov THz Surface Field oscillator based on 2D periodic lattice b/ Wake-field formation inside structures based Periodic Surface Lattices of cylindrical topology for particle accelerationc/ Compact Source of Coherent X-ray based on Standing near cut-off EM Field ScatteringConclusion

  • Two-Dimensional Periodic Surface Lattices Periodic Surface Lattice operating frequency 37.5 GHz (8mm)Periodic Surface Lattice operating frequency~ 95GHz (3.2mm) The 2D periodic corrugation of the waveguide surface can be defined as: waveguides mean diameter 8cm/2cm corrugation amplitude 1mm / 0.6mm number of azimuthal variations 28/20 longitudinal period of 8mm/3mm

  • Basic model of low-contrast 2D periodic lattice x+z xz x-zLocalised singularity point of large resistance for the surface currents Surface current oscillationsMode excitation associated with 2D+1D scattering is observed1D scattering2D scattering2D scattering

    f2

    f1

    -1

    1

    -1

    1

    -1

    1

    -1

    1

    1 -1 1 -1 1 -1 1 -1

    g2

    g1

    1

    0

    1

    0

    1

    0

    1

    0

    1

    1 0 1 0 1 0 1

  • Surface and Volume fields on 2D periodic lattice excited surface wave Excitation of the surface currents Ij(x,z) on the 2D periodic structure observed using CST Microwave Studio. Schematic representation of 2D periodic structure, incident pump, induced surface currents which are coupled with the surface waveInteraction between the EM fields and the periodic surface lattice:1/ surface currents excitation occurs on the lattice fundamental cell boundaries by an incident EM field;2/ surface fields excited by the surface currents and at the initial stage, may neither be coherent nor synchronised

  • Coupling of surface & volume waves on 2D periodic lattice-3/ the surface fields are scattered on the corrugation into propagating waves. If feedback is provided (by any means) the volume EM fields will accumulate inside the cavity and synchronise the individual scatterers. This leads to coherent and resonant scattering of the surface and volume fields. Some of the EM field will be radiated away from the cavity ensuring high mode selectivity similar to what is observed in Orotrons. (V.L. Bratman et al., IEEE Transaction on Plasma Science, PS-15(1),p.2,1987; Yu.A. Grishin et al., Rev. of Sci. Instr., 75(9),p.2926, 2004) Schematic of OrotronElectron beamoutput

  • V.L. Bratman at al., IEEE Trans on Plasma Science, 38(6), p.1466, 2010 Planar Orotrons based on 2D PSLNew concept: cylindrical 2D PSL

  • Two-Dimensional Periodic Surface Lattices Periodic Surface Lattice operating frequency 37.5 GHz Periodic Surface Lattice operating frequency~ 95GHz The 2D periodic corrugation of the waveguide surface can be defined as:Research proposed:

    Cherenkov compact sources of coherent radiation;Compact sources of coherent radiation based on standing EM field scattering ; Multi-beam accelerating structure.

  • 1/ Each single oscillator (defined by a localised surface field) is coupled to the nearest one inductively and via capacitance. Diagonal oscillators are coupled only via capacitance; 2/ All oscillators are coupled to the global oscillator (volume field) individually i.e. without prior knowledge of its neighbour interaction with the global oscillator 3/ Global oscillator affects all oscillators simultaneously Synchronisation of an ensemble of oscillators distributed over a large surface area

  • Basic Model of EM field scattering on 2D PSL To obtain the effective scattering the Bragg resonance condition has to be met :

    The periodic structures are low contrast i.e. either the corrugations on the surface of the conductors are shallow with respect to the wavelength a1

  • The field coupling takes place if the Bragg resonance conditions are satisfiedResonant coupling of surface and volume fields- The field inside is a superposition of partial surface and volume fields :Eigenmode = HE28,1 + TM0,10

  • Surface and volume fields observed inside cylindrical 2D periodic latticeThe transverse structures of the fields excited inside periodic surface structure. The inserts are the contour plots of the electric and magnetic field components excited by the pump wave inside the cylindrical 2D periodic lattice.

  • Excitation of the W-band cylindrical surface field cavity by broadband TEM pulse10ns Time dependence of the Ez field component associated with the pump pulse (t [0,7ns]) and cavity decaying field (t [7ns,41ns])Time dependence of the Ez field component associated with the cavity decaying field (t [7ns,41ns])EzEzFrequency (GHz)Frequency (GHz)dB(V/m)dB(V/m)EzEzm=20 ;l = 6m=20 ;l = 7

  • E. Lier et al.,Nature Materials,10, pp. 216222 (2011)Periodic surface lattice as effective dielectricThe set of discrete scatterers is substituted with continues dielectric Benefits1/ No complex or compound materials required2/ Simple temperature and stress management 3/ Simple dissipation of surface charges into bulk material4/ Simple machining5/ Unique electromagnetic and electron beam dispersive properties

  • Substitution of 2D periodic surface lattice with effective dielectrick kcut-offPECInside dielectricOutside dielectricMatching partial fields at the boundary of the dielectric its thickness can be found n is the refractive indexDispersion relation

  • (a)(b)Design of Cherenkov maser based on 2D periodic surface lattice(a)(b)

  • High-power THz and X-ray sources of coherent radiation based on 2D PSL Cherenkov type radiatorsRadiators based on electron scattering of standing EM wave (Kapitza-Dirac effect, FEL type oscillators)

  • ~10MWOutput power from Cherenkov maser based on 2D periodic latticeSpectrum of the output radiation 96GHz Cherenkov Maser based on 2D PSL(1st type radiators)time (ns)power (MW)Nonlinear interaction between relativistic electrons and EM radiation result in electron bunch formation in EM field decelerating phase Electron Beam 300kV, 100ADielectric

    Chart1

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    79.4

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    64.591

    dB

    Frequency (GHz)

    Output spectrum (dB)

    Sheet1

    freq(GHz)dBA1/A0A1/Amax

    0.9960270.9693.548453535.49314888090.0000566174

    1.043571.0163.55083554.67581999070.0000569246

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    1.470371.1513.557553610.35576950670.0000578163

    1.517771.1343.55673603.29650128160.0000577032

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    1.6671.0373.551853563.28040824880.0000570624

    1.707570.9933.549653545.27558617880.0000567741

    1.754970.9413.547053524.11441573610.0000564352

    1.802370.8813.544053499.85458273910.0000560467

    1.849870.8153.540753473.3616111730.0000556224

    1.897270.7443.53723445.08546286580.0000551696

    1.944670.6643.53323413.50072949310.0000546638

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