Covariant worldline numerics for charge motion with radiation reaction

Harvey, Christopher; Heinzl, T.; Iji, Nicola; Langfeld, Kurt

doi:10.1103/physrevd.83.076013

Cited by 18 publications

(23 citation statements)

References 52 publications

(87 reference statements)

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“…Nevertheless, as can be seen from the lower left plot, the electron loses approximately 50% of its energy due to radiation damping. This is consistent with the analysis presented by Koga et al [28] (see also [9]). The right hand plots of Figure 3 show the same quantities but for different parameter values -this time a 0 = 250, γ 0 = 150.…”

Section: A Plane Wave Dynamicssupporting

confidence: 93%

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Radiation damping in pulsed Gaussian beams

Harvey

Marklund

2012

Phys. Rev. A

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We consider the effects of radiation damping on the electron dynamics in a Gaussian beam model of a laser field. For high intensities, i.e. with dimensionless intensity a 0 1, it is found that the dynamics divide into three regimes. For low energy electrons (low initial γ-factor, γ 0 ) the radiation damping effects are negligible. At higher energies, but still at 2γ 0 < a 0 , the damping alters the final displacement and the net energy change of the electron. For 2γ 0 > a 0 one is in a regime of radiation reaction induced electron capture. This capture is found to be stable with respect to the spatial properties of the electron beam and results in a significant energy loss of the electrons. In this regime the plane wave model of the laser field provides a good description of the dynamics, whereas for lower energies the Gaussian beam and plane wave models differ significantly. Finally the dynamics are considered for the case of an XFEL field. It is found that the significantly lower intensities of such fields inhibits the damping effects.

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Section: A Plane Wave Dynamicssupporting

confidence: 93%

“…Many recent discussions of radiation damping effects have restricted their consideration to plane wave models of the laser field [7][8][9]. However, the new generation of high intensity facilities will, in part, achieve their high outputs by a strong focussing of the laser pulse.…”

Section: Introductionmentioning

confidence: 99%

Radiation damping in pulsed Gaussian beams

Harvey

Marklund

2012

Phys. Rev. A

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“…This is a bit closer to our equation (4) (4), this constancy of the acceleration in the laboratory frame at the beginning of the action of the force is only approximate, and it stays so only as long as the dilatation factor γ remains near one, and the motion under a constant force in the laboratory almost coincides with an exact hyperbolic motion in the proper system.…”

Section: Summary and Discussionsupporting

confidence: 80%

“…Other treatments employing QED have been proposed; see, for example, [2,3]. Nevertheless we feel that classical treatments are still interesting, as attested by the continuing theoretical efforts [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Radiation reaction on a classical charged particle: A modified form of the equation of motion

Alcaine

Llanes-Estrada

2013

Phys. Rev. E

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We present and numerically solve a modified form of the equation of motion for a charged particle under the influence of an external force, taking into account the radiation reaction. This covariant equation is integrodifferential, as Dirac-Röhrlich's, but has several technical improvements. First, the equation has the form of Newton's second law, with acceleration isolated on the left hand side and the force depending only on positions and velocities: Thus, the equation is linear in the highest derivative. Second, the total four-force is by construction perpendicular to the four-velocity. Third, if the external force vanishes for all future times, the total force and the acceleration automatically vanish at the present time. We show the advantages of this equation by solving it numerically for several examples of external force.

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“…The recoil in such an event provides a discontinuous radiation reaction force [20]. As discussed below, the discontinuous radiation model consists of random sampling of the synchrotron spectrum and so tends to the continuous-loss model [17,[23][24][25][26] as ω h << γm e c 2 ( ω h is the energy of the emitted photon), i.e. as the sampling frequency → ∞.…”

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confidence: 99%

Dense Electron-Positron Plasmas and Ultraintenseγrays from Laser-Irradiated Solids

et al. 2012

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In simulations of a 10PW laser striking a solid we demonstrate the possibility of producing a pure electron-positron plasma by the same processes as those thought to operate in high-energy astrophysical environments. A maximum positron density of 10 26 m −3 can be achieved, seven orders of magnitude greater than achieved in previous experiments. Additionally, 35% of the laser energy is converted to a burst of gamma-rays of intensity 10 22 Wcm −2 , potentially the most intense gammaray source available in the laboratory. This absorption results in a strong feedback between both pair and γ-ray production and classical plasma physics in the new 'QED-plasma' regime.Electron-positron (e − e + ) plasmas are a prominent feature of the winds from pulsars and black holes [1,2]. They result from the presence of electromagnetic fields strong enough to cause non-linear quantum electrodynamics (QED) reactions [3] in these environments leading to a cascade of e − e + pair production [4]. These fields can be much lower than the Schwinger field for vacuum breakdown [5] if they interact with highly relativistic electrons (γ >> 1) [3]. Non-linear QED has been probed experimentally with lasers in two complementary ways:(1) with a particle accelerator accelerating electrons to the necessary γ and a laser supplying the fields [6-8]; or (2) with a laser accelerating the electrons and goldnuclei supplying the fields [9][10][11]. An alternative configuration, using next-generation high-intensity lasers to provide both the acceleration and the fields [12], has the potential to generate dense e − e + plasmas. Analytical calculations and simulations exploring this configuration have shown that an overdense e − e + plasma can be generated from a single electron by counter-propagating 100PW lasers [12][13][14][15]. Here we will show that such a plasma can be generated with an order of magnitude less laser power by firing the laser at a solid target, putting such experiments in reach of next-generation 10PW lasers [16].The dominant non-linear QED effects in 10PW laserplasma interactions are: synchrotron gamma-ray photon (γ h ) emission from electrons in the laser's electromagnetic fields; and pair-production by the multiphoton Breit-Wheeler process, γ h + nγ l → e − + e + , where γ l is a laser photon [3,17,18]. Each reaction is a strongly multiphoton process, the former process being non-linear Compton scattering, e − + mγ l → e − + γ h [19,20], in the limit m → ∞. Therefore, these reactions only become important at the ultra-high intensities reached in 10PW laser-plasma interactions. The importance of synchrotron emission is determined by the parameter η. This depends on the ratio of the electric and magnetic fields in the plasma to the Schwinger field [5] (E s = 1.3 × 10 18 Vm −1 ). For ultra-relativistic particles 17,18]. γ is the Lorentz factor of the emitting electron or positron, β is the corresponding velocity normalised to c and E ⊥ is the electric field perpendicular to its motion. As η approaches unity each emitted photon takes a ...

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Covariant worldline numerics for charge motion with radiation reaction

Abstract: We develop a numerical formulation to calculate the classical motion of charges in strong electromagnetic fields, such as those occurring in high-intensity laser beams. By reformulating the dynamics in terms of SL(2, C) matrices representing the Lorentz group, our for-

Cited by 18 publications

References 52 publications

Radiation damping in pulsed Gaussian beams

Radiation damping in pulsed Gaussian beams

Radiation reaction on a classical charged particle: A modified form of the equation of motion

Dense Electron-Positron Plasmas and Ultraintenseγrays from Laser-Irradiated Solids

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