Excitation of a wake field by a relativistic electron bunch in a semi-infinite dielectric waveguide

Balakirev, V. A.; Onishchenko, I.N.; Sidorenko, D. Yu.; Sotnikov, G. V.

doi:10.1134/1.1391517

Cited by 10 publications

(10 citation statements)

References 15 publications

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“…2) because the transverse profile of the wakefield mode amplitudes is very nearly flat [1] across the radius of the drive bunch channel; this is caused by the large relativistic factor, even for 14 MeV. One should observe also that the wakefields are much diminished for z < 100 mm: this shows that the superposition of wakefields is limited to a zone behind the drive bunch depending on the length of the structure and the group velocity of the waves set up by the passage of the drive bunch into the structure [1,15,16].…”

Section: Wakefield Analysis Of Ramped Drive Bunch Trainsmentioning

confidence: 96%

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Improved ramped bunch train to increase the transformer ratio of a two-channel multimode dielectric wakefield accelerator

Sotnikov

Marshall

2011

Phys. Rev. ST Accel. Beams

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Here we show a possibility of applying the ramped drive bunch train (RBT) technique to a two-channel coaxial dielectric wakefield accelerator (CDWA). For numerical research we study a 28 GHz structure with two nested alumina cylindrical shells having these diameters: outer shell, OD ¼ 28:1 mm, ID ¼ 27 mm; inner shell, OD ¼ 6:35 mm, ID ¼ 4:0 mm. The structure is to be excited by a train of four annular bunches having energy 14 MeV and axial rms length 1 mm; the total charge of bunches is 200 nC. In the case of equally charged drive bunches, spaced apart by the principal wakefield wavelength 10.67 mm, we obtained transformer ratio T ¼ 3:4. If the bunch charge is increasing as the ratio 1:3:5:7 and the bunches are spaced by one and one-half wavelengths, we obtained T ¼ 3:8. We found that if the charge ratios are 1:0:2:4:3:5:5:0 and the spaces between the bunches are 2.5, 2.5, and 4.5 wakefield periods, then T increases strongly, T $ 20. The RBT also can be used successfully in a high gradient THz CDWA structure. A particle-in-cell simulation shows that the four drive bunches can move without appreciable distortion.

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Section: Wakefield Analysis Of Ramped Drive Bunch Trainsmentioning

confidence: 96%

“…1 of bunches will be added [16], where Áz 0 is the distance between the adjacent bunches. Everything said here is true in the case of excitation of a single resonant mode in the approximation of rigid bunches.…”

Section: Wakefield Analysis Of Ramped Drive Bunch Trainsmentioning

confidence: 99%

Improved ramped bunch train to increase the transformer ratio of a two-channel multimode dielectric wakefield accelerator

Sotnikov

Marshall

2011

Phys. Rev. ST Accel. Beams

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“…In this section we revisit the problem of calculating the effect of the input boundary, a semi-infinite waveguide problem discussed by Onishchenko et al [6,7]. Although the problem is physically the same, the mathematical approach introduced in this section for calculating the I 2 integral in Eq.…”

Section: Wakefield In a Semi-infinite Waveguidementioning

confidence: 98%

“…The problem applied specifically to a semi-infinite dielectric-loaded waveguide has been discussed recently by Onishchenko et al [6,7] taking into account an input end only. As far as the beam does not reach the end of the cavity, it never sees the exit boundary and thus the cavity wakefields are the same as those for a semi-infinite waveguide.…”

Section: Introductionmentioning

confidence: 99%

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Theory of wakefields in a dielectric-filled cavity

Kim

Han

Yoon

et al. 2010

Phys. Rev. ST Accel. Beams

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An analytical solution of a wakefield from a charge moving on the axis of a dielectric-filled cylindrical cavity is derived. A solution to the wakefield in a waveguide with only a boundary at the cavity entrance is already known. To take into account a boundary at the cavity exit, we introduce an imaginary antibeam, with opposite charge, which is created at the same time when the beam passes the exit boundary and continues to move along with the original beam at the same velocity. Although the beam has been annihilated in the net effect, the original beam and the antibeam produce their own wakefields, respectively, because they were created at different times. These superimposed fields are then mirror reflected as usual by the conducting exit boundary and the wakefield can be obtained by properly mirror reflecting them whenever it reaches a boundary. We find a resonance condition to enhance wakefields with multiple bunches of charges, and show that the acceleration gradient increases under that condition.

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