Plasma lenses for ultrashort multi-petawatt laser pulses
J.P. Palastro, D. Gordon, B. Hafizi, L.A. Johnson, J. Penano, R.F., Hubbard, M. Helle, and D. Kaganovich

TL;DR
This paper investigates the limitations and potential of plasma lenses for focusing ultrashort, multi-petawatt laser pulses, highlighting nonlinear effects and power thresholds affecting their performance.
Contribution
It analyzes nonlinear and time-dependent effects in plasma lens focusing of ultrashort pulses, identifying power limits and aberrations that influence their effectiveness.
Findings
Plasma lenses can focus 30 fs pulses up to ~1 PW.
Performance degrades beyond ~1 PW, with penalties at ~10 PW.
Nonlinear effects cause chromatic and phase aberrations.
Abstract
An ideal plasma lens can provide the focusing power of a small f-number, solid-state focusing optic at a fraction of the diameter. An ideal plasma lens, however, relies on a steady-state, linear laser pulse-plasma interaction. Ultrashort multi-petawatt (MPW) pulses possess broad bandwidths and extreme intensities, and, as a result, their interaction with the plasma lens is neither steady state nor linear. Here we examine nonlinear and time-dependent modifications to plasma lens focusing, and show that these result in chromatic and phase aberrations and amplitude distortion. We find that a plasma lens can provide enhanced focusing for 30 fs pulses with peak power up to ~1 PW. The performance degrades through the MPW regime, until finally a focusing penalty is incurred at ~10 PW.
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