A non-linear theory for the bubble regime of plasma wake fields in tailored plasma channels

Abstract

We introduce a first full analytical bubble and blow-out model for a radially inhomogeneous plasma in a quasi-static approximation. For both cases we calculate the accelerating and the focusing fields. In our model we also assume a thin electron layer that surrounds the wake field and calculate the field configuration within. Our theory holds for arbitrary radial density profiles and reduces to known models in the limit of a homogeneous plasma. From a previous study of hollow plasma channels with smooth boundaries for laser-driven electron acceleration in the bubble regime we know that pancake-like laser pulses lead to highest electron energies [Pukhov et al, PRL 113, 245003 (2014)]. As it was shown, the bubble fields can be adjusted to balance the laser depletion and dephasing lengths by varying the plasma density profile inside a deep channel. Now we show why the radial fields in the vacuum part of a channel become defocussing.

arXiv comment11 pages, 6 figures

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Cited by in corpus (9)

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• Laser wakefield driven generation of isolated CEP-tunable intense sub-cycle pulses
• Beam loading in the bubble regime in plasmas with hollow channels
• Bubble regime of plasma wakefield in 2D and 3D geometries
• Excitation of strongly nonlinear plasma wakefield by electron bunches
• Fixing E-field divergence in strongly nonlinear wakefields in homogeneous plasma
• Adiabatic sheath model for beam-driven blowout plasma channels
• Effects of the transversely nonuniform plasma density in a blowout regime of a plasma wakefield accelerator