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Approximate Analytical Description of the Underdense Short Plasma Lens

A. Amatuni
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Abstract

The perturbative approach for describing the underdense plasma--ultrarelativistic electron bunch system is developed, using the ratio $\frac{n_0}{n_b}$ as a small parameter ($n_b$--bunch,$n_0$--plasma electron densities). Focusing of the electron bunch emerged in the first approximation of the perturbative procedure as a result of the plasma electrons redistribution. Focusing gradient and strength for ultrarelativistic, flat, uniform and short bunch are obtained and compared with the previous results.

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A. Amatuni. 1996-04-17. Approximate Analytical Description of the Underdense Short Plasma Lens. https://arxiv.org/abs/acc-phys/9604004

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