On inverse scattering at high energies for the multidimensional nonrelativistic Newton equation in electromagnetic field

2009 ◽  
Vol 17 (5) ◽  
Author(s):  
A. Jollivet
2012 ◽  
Vol 31 (1) ◽  
pp. 23-28 ◽  
Author(s):  
V.V. Korobkin ◽  
M.Yu. Romanovskiy ◽  
V.A. Trofimov ◽  
O.B. Shiryaev

AbstractA new concept of generating tight bunches of electrons accelerated to high energies is proposed. The electrons are born via ionization of a low-density neutral gas by laser radiation, and the concept is based on the electrons acceleration in traps arising within the pattern of interference of several relativistically intense laser pulses with amplitude fronts tilted relative to their phase fronts. The traps move with the speed of light and (1) collect electrons; (2) compress them to extremely high density in all dimensions, forming electron bunches; and (3) accelerate the resulting bunches to energies of at least several GeV per electron. The simulations of bunch formation employ the Newton equation with the corresponding Lorentz force.


Sensors ◽  
2020 ◽  
Vol 20 (10) ◽  
pp. 2865 ◽  
Author(s):  
Alessandro Fedeli ◽  
Matteo Pastorino ◽  
Cristina Ponti ◽  
Andrea Randazzo ◽  
Giuseppe Schettini

The imaging of dielectric targets hidden behind a wall is addressed in this paper. An analytical solver for a fast and accurate computation of the forward scattered field by the targets is proposed, which takes into account all the interactions of the electromagnetic field with the interfaces of the wall. Furthermore, an inversion procedure able to address the full underlying non-linear inverse scattering problem is introduced. This technique exploits a regularizing scheme in Lebesgue spaces in order to reconstruct an image of the hidden targets. Preliminary numerical results are provided in order to initially assess the capabilities of the developed solvers.


1975 ◽  
Vol 53 (15) ◽  
pp. 1404-1407 ◽  
Author(s):  
O. A. Aboul-Atta ◽  
W. M. Boerner

The exact description of the harmonic electromagnetic field solution at scattering surfaces is shown to require, in general, two impedances to relate the tangential electric field to the tangential magnetic field. The consequences lead to the generation of two independent surface vectors that are orthogonal, of equal norm, and have a realizable direction. They are used to describe the surface by two scalar equations. For the first time, the details of this vectorial impedance identity, the derivation of those two vectors, and the two scalar inverse scattering surface equations are shown.


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