Relativistic Electron Beam Stimulated Coherent Phenomena mediated by Artificial Structures
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Transcript of Relativistic Electron Beam Stimulated Coherent Phenomena mediated by Artificial Structures
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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
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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
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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
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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
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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
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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
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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
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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.
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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
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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
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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
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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.
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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
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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
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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
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(a)(b)Design of Cherenkov maser based on 2D periodic surface lattice(a)(b)
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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)
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~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
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77.342
77.115
76.894
76.691
76.508
76.385
76.329
76.329
76.376
76.47
76.603
76.751
76.933
77.114
77.299
77.463
77.617
77.747
77.846
77.943
78.036
78.118
78.198
78.282
78.368
78.454
78.547
78.645
78.753
78.86
78.953
79.046
79.142
79.223
79.296
79.359
79.424
79.492
79.561
79.616
79.667
79.712
79.75
79.776
79.794
79.8
79.799
79.791
79.779
79.757
79.722
79.679
79.634
79.58
79.513
79.435
79.351
79.256
79.153
79.049
78.949
78.848
78.744
78.634
78.531
78.434
78.344
78.267
78.222
78.204
78.205
78.207
78.19
78.159
78.122
78.083
78.042
78.019
78.039
78.095
78.18
78.239
78.266
78.264
78.22
78.138
78.049
77.968
77.936
77.935
77.933
77.896
77.798
77.632
77.435
77.21
76.999
76.829
76.676
76.554
76.431
76.301
76.175
76.052
75.959
75.891
75.853
75.874
75.965
76.102
76.275
76.484
76.713
76.936
77.15
77.339
77.507
77.697
77.898
78.086
78.266
78.456
78.642
78.82
78.982
79.114
79.24
79.366
79.487
79.591
79.685
79.753
79.825
79.885
79.923
79.949
79.967
79.96
79.929
79.886
79.815
79.731
79.633
79.513
79.378
79.226
79.055
78.894
78.75
78.593
78.422
78.258
78.12
77.993
77.868
77.743
77.631
77.527
77.43
77.344
77.28
77.213
77.151
77.084
77.031
76.989
76.951
76.906
76.855
76.809
76.762
76.705
76.633
76.55
76.455
76.35
76.248
76.159
76.086
76.015
75.951
75.893
75.828
75.783
75.758
75.765
75.795
75.838
75.892
75.97
76.064
76.177
76.297
76.419
76.57
76.735
76.91
77.099
77.297
77.492
77.693
77.895
78.085
78.255
78.414
78.562
78.708
78.845
78.978
79.109
79.22
79.313
79.391
79.455
79.495
79.52
79.524
79.514
79.488
79.454
79.417
79.361
79.296
79.226
79.13
79.025
78.911
78.796
78.677
78.552
78.419
78.285
78.141
77.988
77.829
77.658
77.492
77.308
77.132
76.974
76.826
76.68
76.534
76.377
76.237
76.12
76.009
75.901
75.805
75.727
75.658
75.608
75.571
75.539
75.521
75.532
75.556
75.588
75.633
75.702
75.797
75.898
76.011
76.13
76.216
76.296
76.364
76.426
76.466
76.508
76.55
76.584
76.596
76.619
76.634
76.621
76.646
76.686
76.699
76.759
76.829
76.871
76.958
77.083
77.172
77.269
77.397
77.517
77.629
77.759
77.898
78.023
78.141
78.263
78.374
78.484
78.586
78.653
78.708
78.763
78.805
78.832
78.856
78.869
78.885
78.891
78.888
78.869
78.845
78.819
78.783
78.733
78.678
78.622
78.574
78.514
78.416
78.311
78.2
78.074
77.934
77.789
77.633
77.464
77.281
77.076
76.867
76.664
76.444
76.213
75.956
75.686
75.398
75.08
74.73
74.378
74.026
73.672
73.325
73.006
72.776
72.583
72.475
72.485
72.612
72.83
73.155
73.558
73.987
74.449
74.921
75.381
75.807
76.2
76.572
76.919
77.237
77.509
77.758
77.982
78.187
78.368
78.523
78.653
78.765
78.86
78.944
79.013
79.071
79.115
79.142
79.147
79.139
79.119
79.082
79.038
78.999
78.948
78.887
78.81
78.716
78.621
78.52
78.411
78.283
78.147
78.012
77.873
77.727
77.57
77.401
77.226
77.052
76.874
76.697
76.535
76.389
76.261
76.145
76.041
75.963
75.906
75.866
75.845
75.836
75.831
75.82
75.802
75.862
75.9
75.895
75.878
75.845
75.809
75.755
75.695
75.628
75.532
75.426
75.302
75.169
75.027
74.885
74.738
74.591
74.451
74.342
74.252
74.198
74.171
74.174
74.233
74.343
74.496
74.687
74.926
75.193
75.473
75.766
76.069
76.365
76.654
76.935
77.205
77.456
77.697
77.93
78.148
78.355
78.54
78.711
78.878
79.029
79.164
79.294
79.408
79.505
79.576
79.623
79.645
79.649
79.629
79.574
79.495
79.391
79.251
79.081
78.872
78.618
78.334
78.02
77.669
77.288
76.89
76.467
76.032
75.58
75.097
74.608
74.128
73.694
73.309
72.991
72.739
72.569
72.478
72.483
72.581
72.773
73.032
73.346
73.709
74.113
74.545
74.961
75.37
75.765
76.124
76.477
76.81
77.092
77.323
77.582
77.868
78.035
77.987
77.912
77.986
78.091
78.102
78.061
78.015
77.94
77.843
77.737
77.611
77.461
77.291
77.111
76.926
76.746
76.553
76.352
76.145
75.939
75.722
75.506
75.302
75.098
74.907
74.735
74.603
74.505
74.451
74.429
74.48
74.601
74.757
74.938
75.153
75.393
75.653
75.911
76.184
76.45
76.689
76.907
77.12
77.309
77.475
77.624
77.755
77.878
77.979
78.065
78.127
78.172
78.202
78.219
78.218
78.199
78.166
78.113
78.056
77.985
77.897
77.794
77.668
77.525
77.371
77.205
77.012
76.821
76.625
76.421
76.211
75.99
75.776
75.561
75.339
75.126
74.941
74.77
74.62
74.494
74.402
74.327
74.272
74.249
74.248
74.265
74.295
74.364
74.443
74.519
74.621
74.726
74.842
74.966
75.079
75.198
75.316
75.433
75.54
75.64
75.734
75.813
75.889
75.954
76.002
76.052
76.085
76.108
76.129
76.165
76.197
76.23
76.274
76.327
76.389
76.46
76.55
76.639
76.729
76.83
76.941
77.061
77.186
77.328
77.474
77.615
77.75
77.883
78.004
78.119
78.223
78.308
78.378
78.439
78.489
78.512
78.516
78.506
78.475
78.423
78.365
78.287
78.179
78.043
77.891
77.712
77.518
77.306
77.071
76.826
76.577
76.315
76.02
75.698
75.357
75.004
74.639
74.263
73.868
73.479
73.119
72.797
72.494
72.228
72.011
71.873
71.816
71.849
71.958
72.153
72.439
72.782
73.153
73.546
73.958
74.366
74.77
75.161
75.52
75.855
76.186
76.48
76.764
77.024
77.253
77.452
77.638
77.814
77.974
78.112
78.226
78.336
78.433
78.514
78.587
78.65
78.707
78.755
78.801
78.835
78.863
78.875
78.871
78.856
78.834
78.797
78.742
78.677
78.599
78.502
78.384
78.248
78.088
77.915
77.72
77.488
77.23
76.951
76.651
76.326
75.967
75.597
75.226
74.829
74.412
73.996
73.604
73.237
72.914
72.659
72.493
72.398
72.403
72.519
72.708
72.967
73.286
73.618
73.948
74.296
74.643
74.956
75.25
75.528
75.791
76.031
76.261
76.475
76.662
76.838
76.998
77.139
77.268
77.39
77.497
77.585
77.652
77.705
77.746
77.784
77.803
77.807
77.806
77.8
77.781
77.751
77.707
77.66
77.607
77.547
77.483
77.416
77.347
77.273
77.199
77.13
77.059
76.988
76.918
76.858
76.796
76.726
76.646
76.563
76.458
76.374
76.302
76.213
76.135
76.069
76.012
75.971
75.947
75.928
75.916
75.91
75.909
75.908
75.911
75.907
75.92
75.931
75.938
75.951
75.953
75.952
75.959
75.966
75.968
75.97
75.972
75.978
75.981
75.993
76.013
76.052
76.099
76.141
76.176
76.219
76.272
76.33
76.395
76.473
76.572
76.683
76.813
76.946
77.051
77.13
77.189
77.218
77.22
77.218
77.211
77.213
77.235
77.269
77.294
77.305
77.309
77.267
77.195
77.115
77.021
76.952
76.911
76.884
76.901
76.941
76.971
77.018
77.049
77.047
77.024
76.987
76.967
76.958
76.954
76.983
77.028
77.067
77.069
77.028
76.984
76.931
76.867
76.811
76.772
76.751
76.713
76.671
76.633
76.605
76.593
76.584
76.564
76.571
76.57
76.564
76.588
76.617
76.644
76.661
76.696
76.713
76.722
76.756
76.797
76.835
76.898
76.984
77.034
77.085
77.118
77.167
77.185
77.184
77.181
77.212
77.244
77.279
77.32
77.355
77.393
77.474
77.545
81.688
81.879
82.06
82.247
82.404
82.563
82.678
82.801
82.887
82.963
83.027
83.094
83.129
83.205
83.231
83.253
83.263
83.291
83.29
83.286
83.3
83.324
83.309
83.303
83.302
83.31
83.328
83.34
83.362
83.354
83.397
83.425
83.447
83.512
83.561
83.627
83.675
83.777
83.838
83.903
84.013
84.084
84.15
84.284
84.369
84.475
84.545
84.703
84.808
84.917
85.026
85.191
85.317
85.407
85.53
85.682
85.856
85.968
86.112
86.353
86.508
86.607
86.816
87.072
87.209
87.366
87.652
87.846
88.001
88.268
88.503
88.712
88.915
89.172
89.437
89.666
89.871
90.156
90.436
90.632
90.897
91.203
91.455
91.724
92.016
92.326
92.625
92.919
93.256
93.711
93.961
94.24
94.919
95.436
95.451
95.973
97.15
97.576
97.237
98.4
100.39
100.24
99.298
103.29
105.05
101.16
106.47
111.75
110.45
114.25
122.77
126.26
125.57
119.45
84.726
110.18
107.42
102.69
102.52
101.72
100.56
99.432
98.695
98.07
97.237
96.589
79.4
79.303
79.193
79.1
78.988
78.921
78.842
78.806
78.8
78.835
78.899
78.998
79.112
79.278
79.408
79.611
79.839
80.072
80.321
80.57
80.823
81.059
81.292
81.508
81.688
81.879
82.06
82.247
82.404
78.563
76.192
79.839
79.625
79.407
79.18
78.951
78.723
78.503
78.295
78.113
77.955
77.828
77.725
77.642
77.567
77.496
77.426
77.351
77.273
77.193
77.114
77.037
76.967
76.909
76.865
76.829
76.806
76.79
76.786
76.784
76.784
76.781
76.774
76.762
76.741
76.705
76.664
76.616
76.556
76.493
76.44
76.377
76.318
76.25
76.166
76.018
75.726
75.054
74.398
75.434
76.255
76.598
76.749
76.813
76.828
76.811
76.767
76.697
76.606
76.496
76.369
76.229
76.068
75.889
75.697
75.486
75.262
75.02
74.77
74.514
74.267
74.034
73.825
73.643
73.477
73.314
73.148
72.964
72.764
72.546
72.308
72.046
71.756
71.441
71.109
70.764
70.418
70.095
69.809
69.585
69.426
69.342
69.328
69.375
69.472
69.605
69.769
69.951
70.146
70.344
70.546
70.745
70.941
71.127
71.301
71.467
71.628
71.784
71.935
72.081
72.218
72.347
72.465
72.569
72.659
72.732
72.79
72.831
72.86
72.876
72.881
72.875
72.858
72.833
72.799
72.758
72.711
72.657
72.596
72.528
72.455
72.377
72.294
72.208
72.124
72.043
71.966
71.896
71.83
71.767
71.709
71.648
71.587
71.524
71.459
71.389
71.318
71.244
71.164
71.078
70.986
70.89
70.791
70.686
70.569
70.44
70.294
70.135
69.964
69.794
69.622
69.444
69.251
69.011
68.715
68.337
67.859
67.306
66.703
66.111
65.605
65.236
65.029
65.017
65.174
65.441
65.767
66.069
66.32
66.5
66.628
66.749
66.804
66.867
66.905
66.952
67.019
67.089
67.178
67.297
67.385
67.529
67.742
67.981
68.267
68.595
68.922
69.255
69.553
69.806
70.02
70.189
70.322
70.415
70.472
70.507
70.518
70.509
70.484
70.438
70.373
70.287
70.183
70.056
69.906
69.726
69.523
69.301
69.066
68.829
68.595
68.37
68.164
67.979
67.822
67.689
67.575
67.479
67.404
67.339
67.336
67.581
67.045
66.989
66.858
66.125
66.034
66.057
66.981
65.985
66.323
66.598
66.664
65.974
68.419
66.147
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
1.090971.0593.552953572.31707964060.0000572071
1.138371.0933.554653586.32794266770.0000574315
1.185771.1243.55623599.15043999950.0000576368
1.233271.1483.55743609.10901212020.0000577963
1.280671.1613.558053614.51473883010.0000578829
1.32871.1663.55833616.59601975250.0000579162
1.375571.1653.558253616.1796677160.0000579095
1.422971.1633.558153615.3471074320.0000578962
1.470371.1513.557553610.35576950670.0000578163
1.517771.1343.55673603.29650128160.0000577032
1.565271.1093.555453592.94029120350.0000575374
1.612671.0753.553753578.90359542740.0000573126
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
1.99270.5723.52863377.53610331870.0000540879
2.039570.4813.524053342.3351786690.0000535242
2.086970.3843.51923305.21716869980.0000529298
2.134370.2773.513853264.75052208780.0000522817
2.181870.1593.507953220.69797338070.0000515763
2.229270.0383.50193176.14265257290.0000508628
2.276669.9133.495653130.76161159910.000050136
2.324169.7783.48893082.47810171550.0000493628
2.371569.6383.48193033.19268535360.0000485736
2.418969.4893.474452981.60425828870.0000477474
2.466369.3353.466752929.20657298630.0000469083
2.513869.183.4592877.39841473570.0000460787
2.561269.0173.450852823.90446441210.000045222
2.608668.8463.44232768.85364129120.0000443404
2.656168.6713.433552713.62605191190.000043456
2.703568.4933.424652658.58163256320.0000425745
2.750968.3143.41572604.35390455170.0000417061
2.798368.1283.40642549.17705050910.0000408225
2.845867.9433.397152495.45647824830.0000399623
2.893267.763.3882443.4305526940.0000391291
2.940667.583.3792393.31575640540.0000383266
2.988167.3953.369752342.87975706620.0000375189
3.035567.2093.360452293.2425959380.000036724
3.082967.0333.351652247.24281213740.0000359874
3.130466.863.3432202.92646305350.0000352777
3.177866.73.3352162.7185237270.0000346338
3.225266.5513.327552125.93508845040.0000340447
3.272666.413.32052091.70290710280.0000334965
3.320166.2823.31412061.10444547250.0000330065
3.367566.173.30852034.69819585050.0000325837
3.414966.083.3042013.72424986240.0000322478
3.462466.0113.300551997.79075936420.0000319926
3.509865.9633.298151986.78100871680.0000318163
3.557265.9353.296751980.38669540230.0000317139
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