• High Power Laser and Particle Beams
  • Vol. 36, Issue 4, 043032 (2024)
Lei Gao1, Jianhong Hao1, Fang Zhang2、*, Qiang Zhao2, Jieqing Fan1, Bixi Xue1, and Zhiwei Dong2
Author Affiliations
  • 1School of Electrical and Electronic Engineering, North China Electric Power University, Beijing 102206, China
  • 2Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
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    DOI: 10.11884/HPLPB202436.230101 Cite this Article
    Lei Gao, Jianhong Hao, Fang Zhang, Qiang Zhao, Jieqing Fan, Bixi Xue, Zhiwei Dong. Study on law of two-dimensional sheet relativistic electron beam transport to target[J]. High Power Laser and Particle Beams, 2024, 36(4): 043032 Copy Citation Text show less

    Abstract

    The relativistic electron beam can hit the target with a high injection rate under the ideal paramagnetic environment, but in reality, due to the influence of the environment, the transmission direction of the relativistic electron beam may deviate from the geomagnetic field at a small angle, thus the Larmor precession will be generated by the action of the geomagnetic field, which affects the target aiming of the electron beam as well as the amount of the injection to the target. In this paper, based on the two-dimensional sheet relativistic electron beam, taking the paramagnetic relativistic electron beam and the beam with 3° angle deviation from the magnetic field as two cases, through the simulation of the propagation of the bunches, we analyze and study the effect of different transmission distance on the bunch to target rate in paramagnetic environment, as well as that of the 3° deviation from the magnetic field on the amount of injection in the propagation process, thus to provide data for reference in the prediction of relativistic electron beam-to-target rate and target aiming.
    $ {\sigma _y} = \sqrt {\dfrac{{{u_{y1}}^2 + {u_{y2}}^2 + \cdots + {u_{yN}}^2}}{N}} $(1)

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    $ \varphi = \dfrac{{\displaystyle\sum\limits_{i = 1}^m N }}{{\Delta S\Delta T}} $(2)

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    $ r = \dfrac{{{N_{\text{t}}}}}{N} $(3)

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    $ R'' = \dfrac{{{\varepsilon _ \bot }^2}}{{{R^3}}} + {K_x} $(4)

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    $ \left\{ \begin{gathered} {B_x} = B\cos {3^ \circ } = 4.993\;2 \times {\text{1}}{{\text{0}}^{ - {\text{5}}}}{\text{ T}} \\ {B_y} = 0\;{\mathrm{T}} \\ {B_{\textit{z}}} = B\sin {3^ \circ } = 2.617\; \times {\text{1}}{{\text{0}}^{ - {\text{6}}}} \;{\mathrm{T}} \\ \end{gathered} \right. $(5)

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    $ \omega={\mathit{\Upsilon}}B=\dfrac{qB}{2m} $(6)

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    Lei Gao, Jianhong Hao, Fang Zhang, Qiang Zhao, Jieqing Fan, Bixi Xue, Zhiwei Dong. Study on law of two-dimensional sheet relativistic electron beam transport to target[J]. High Power Laser and Particle Beams, 2024, 36(4): 043032
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