Abstract
Ultrastrong laser pulses can be so intense that an electron in the focused beam loses significant energy due to γphoton emission while its motion deviates via the radiation backreaction. Numerical methods and tools designed to simulate radiationdominated and quantumelectrodynamically strong laserplasma interactions are summarized here.
I. INTRODUCTION
A. Radiationdominated laser fields
B. QEDstrong laser fields
C. Estimates for laserdriven electrons
D. Paper content and structure
II. QEDWEAK FIELDS
A. Theoretical notes
1. Emission spectrum
2. Equation for the radiation emission and transport
3. Equation for electron motion: Accounting the radiation backreaction
4. Comparison with the LandauLifshitz (LL) equation
B. Analytical solution
C. Numerical model
1. Macroparticles and their current
2. Energy integral and energy balance
3. Algorithmic implementation
D. Simulation result
III. QEDMODERATE FIELDS (χ ∼ 1)
A. Theoretical notes
1. Emission spectrum
2. Equation for electron motion: Accounting the radiation backreaction
B. Analytical result
C. Numerical model
D. Simulation result
IV. QEDSTRONG FIELDS
A. Theoretical notes
B. Semianalytical solution
C. Numerical model
1. Photon propagation and absorption
D. Simulation result
V. CONCLUSION
Key Topics
 Quantum electrodynamic effects
 57.0
 Photons
 36.0
 Emission spectra
 22.0
 Laser plasma interactions
 12.0
 Positrons
 10.0
Figures
(Color online) The shape of normalized spectra, , versus the normalized frequency, ω′/ω_{ c } _{0}, for different pulse duration. The figure is scalable, particular choice of physical parameters, may be the following: a = 50, , pulse durations are 5 fs (curve 1), 36 fs (curve 2), and 220 fs (curve 3). The spectrum broadening and softening is due to the radiation reaction. In the absence of this reaction, curve 1 without changing its shape would scale proportionally to the pulse duration. A zero value of log(ω′/ω_{ c } _{0}) corresponds to ≈ 150 keV.
(Color online) The shape of normalized spectra, , versus the normalized frequency, ω′/ω_{ c } _{0}, for different pulse duration. The figure is scalable, particular choice of physical parameters, may be the following: a = 50, , pulse durations are 5 fs (curve 1), 36 fs (curve 2), and 220 fs (curve 3). The spectrum broadening and softening is due to the radiation reaction. In the absence of this reaction, curve 1 without changing its shape would scale proportionally to the pulse duration. A zero value of log(ω′/ω_{ c } _{0}) corresponds to ≈ 150 keV.
(Color online) Test simulation result: (a) radiation energy spectrum (line 1), , and the modified spectrum, (line 2); (b) and (c) the angular distribution of the radiation at instants: (b) t = 10 T, (c) t = 50 T, where T = 2π/ω.
(Color online) Test simulation result: (a) radiation energy spectrum (line 1), , and the modified spectrum, (line 2); (b) and (c) the angular distribution of the radiation at instants: (b) t = 10 T, (c) t = 50 T, where T = 2π/ω.
Emitted radiation power in the QED approach vs classical (solid), an interpolation formula (dashed). Here, I _{ C } = I _{cl}/χ^{2}.
Emitted radiation power in the QED approach vs classical (solid), an interpolation formula (dashed). Here, I _{ C } = I _{cl}/χ^{2}.
The emission spectrum for 600 MeV electrons interacting with 30fs laser pulses of intensity 2 · 10^{22} W/cm^{2} and wavelength λ = 0.8 μm, with (solid) and without (dashed) accounting for the QED effects. The QED effects cut off the highenergy part of the emission, though the reduction in the radiation backreaction elevates the lowenergy emission.
The emission spectrum for 600 MeV electrons interacting with 30fs laser pulses of intensity 2 · 10^{22} W/cm^{2} and wavelength λ = 0.8 μm, with (solid) and without (dashed) accounting for the QED effects. The QED effects cut off the highenergy part of the emission, though the reduction in the radiation backreaction elevates the lowenergy emission.
(Color online) Backscattered light in simulations of the interaction of laser pulse of intensity (a) 2 × 10^{23} W/cm^{2}, (b) 8 × 10^{23} W/cm^{2}, with plasma of density (a) 6.5 × 10^{22} cm^{−3}, (b) 1.3 × 10^{23} cm^{−3}. For each χ_{ l } (vertical axis), the convolution integral (the term in the above formula for convolution) is calculated and presented as a function of (horizontal axis). The line shows the total emitted energy as a function of the cutoff photon energy (i.e., the integral spectrum).
(Color online) Backscattered light in simulations of the interaction of laser pulse of intensity (a) 2 × 10^{23} W/cm^{2}, (b) 8 × 10^{23} W/cm^{2}, with plasma of density (a) 6.5 × 10^{22} cm^{−3}, (b) 1.3 × 10^{23} cm^{−3}. For each χ_{ l } (vertical axis), the convolution integral (the term in the above formula for convolution) is calculated and presented as a function of (horizontal axis). The line shows the total emitted energy as a function of the cutoff photon energy (i.e., the integral spectrum).
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