Phase Space Dynamics in Plasma Based Wakefield Acceleration by Xinlu Xu

Author:Xinlu Xu
Language: eng
Format: epub
ISBN: 9789811523816
Publisher: Springer Singapore

The space distribution of the trapped electrons when they are ionized is shown in Fig. 2.27b. Due to the phase dependent ionization probability, the initial electron distribution has a strong modulation on . After released, the electrons slip back to the tail of the wake and are accelerated by the longitudinal electric field in the wake. If its velocity equals the phase velocity of the wake, the electron is defined as being trapped. The phase space after the electrons are boosted to relativistic energy can be mapped from the initial phase space based on the trapping condition. The phase space at mm is shown in Fig. 2.27c and the sliced structures are clearly seen. The current profile and the bunching factor b(k) of the tapped electrons are shown in Fig. 2.27d, where and f(z) is the normalized distribution of the trapped electrons.

When the injection distance m which is the range of nitrogen distribution in Fig. 2.27a–d, a strong modulation at can be seen in the current profile and the bunching factor plot as shown in Fig. 2.27d. If the injection distance is increased to m , the modulation in the current profile is hidden in Fig. 2.27f but the sliced structure is still clearly seen in the phase space as shown in Fig. 2.27e.

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