Transverse dimension effects in the dielectric wakefield accelerator

1990 ◽  
Author(s):  
Eusebio P. Garate ◽  
Amnon Fisher
Keyword(s):  
Transverse Dimension ◽  
Wakefield Accelerator

One-dimensional models of fourth and sixth orders for rods derived from three-dimensional elasticity

2016 ◽  
Vol 22 (2) ◽  
pp. 158-175 ◽  
Author(s):  
Erick Pruchnicki
Keyword(s):  
Order Term ◽  
Three Dimensional ◽  
Transverse Dimension ◽  
Lagrange Equations ◽  
Transverse Shearing ◽  
Natural Boundary Conditions ◽  
The Stability ◽  
Shearing Energy ◽  
Three Dimensional Elasticity ◽  
Double Symmetry

The displacement field in rods can be approximated by using a Taylor–Young expansion in transverse dimension of the rod. These involve that the highest-order term of shear is of second order in the transverse dimension of the rod. Then we show that transverse shearing energy is removed by the fourth-order truncation of the potential energy and so we revisit the model presented by Pruchnicki. Then we consider the sixth-order truncation of the potential which includes transverse shearing and transverse normal stress energies. For these two models we show that the potential energies satisfy the stability condition of Legendre–Hadamard which is necessary for the existence of a minimizer and then we give the Euler–Lagrange equations and the natural boundary conditions associated with these potential energies. For the sake of simplicity we consider that the cross-section of the rod has double symmetry axes.

Wakefield accelerator using twin linacs

1993 ◽  
Vol 328 (3) ◽  
pp. 596-598 ◽  
Author(s):  
H. Nakanishi ◽  
A. Enomoto ◽  
A. Ogata ◽  
K. Nakajima ◽  
D. Whittum ◽  
...  
Keyword(s):  
Wakefield Accelerator

scholarly journals Electron Rephasing in a Laser-Wakefield Accelerator

2015 ◽  
Vol 115 (15) ◽  
Author(s):  
E. Guillaume ◽  
A. Döpp ◽  
C. Thaury ◽  
K. Ta Phuoc ◽  
A. Lifschitz ◽  
...  
Keyword(s):  
Laser Wakefield ◽  
Wakefield Accelerator ◽  
Laser Wakefield Accelerator

Energy enhancement in a self-modulated laser wakefield accelerator

1994 ◽  
Author(s):  
E. Esarey ◽  
J. Krall ◽  
A. Ting ◽  
P. Sprangle
Keyword(s):  
Laser Wakefield ◽  
Wakefield Accelerator ◽  
Laser Wakefield Accelerator

scholarly journals Numerical modelling of a 10-cm-long multi-GeV laser wakefield accelerator driven by a self-guided petawatt pulse

2010 ◽  
Vol 12 (4) ◽  
pp. 045019 ◽  
Author(s):  
S Y Kalmykov ◽  
S A Yi ◽  
A Beck ◽  
A F Lifschitz ◽  
X Davoine ◽  
...  
Keyword(s):  
Numerical Modelling ◽  
Laser Wakefield ◽  
Wakefield Accelerator ◽  
Laser Wakefield Accelerator
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