Constant-Crossed-Field Acceleration, a Mechanism for the Generation of Cosmic Rays by Strong Low-Frequency Electromagnetic Waves

Grewing, M.; Heintzmann, H.

doi:10.1103/physrevlett.28.381

Cited by 8 publications

(5 citation statements)

References 9 publications

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“…In astrophysical circumstances the addition of a longitudinal magnetic field can drastically change the particle energies as compared to those obtained in pure wave field calculations [5,6]. This will be discussed in some detail in Section 3 for the special case f2=F'U~'F~*~,=O (see I) which has so far not been treated in the literature.…”

Section: Introductionmentioning

confidence: 93%

“…In the latter case the gyration radius of the particles is very much larger than one wave length and the particles are accelerated essentially as in constant crossed fields (CCFA) of equal strength [6].…”

Section: Xo=e[b[/mcf2mentioning

confidence: 99%

“…[6] the physics of the interaction of charged particles with electromagnetic fields is completely determined by…”

Section: Particle Motion In a Spherical Wave With An Additional Longimentioning

confidence: 99%

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Acceleration of charged particles and radiation reaction in strong plane and spherical waves. II

1973

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Particle motion in a superstrong wave field (Laser or Pulsar field) is considered in the presence of an additional longitudinal magnetic field. It is shown that the particle motion is distinctly different from that in a previously considered pure wave field and that the maximum obtainable energy is substantially reduced. We also reconsider the effects of radiation reaction on a particle moving in a plane linearily polarized wave.

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Section: Introductionmentioning

confidence: 93%

Section: Xo=e[b[/mcf2mentioning

confidence: 99%

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Acceleration of charged particles and radiation reaction in strong plane and spherical waves. II

1973

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“…The result of the scattering of the wave by the electron is a force on the electron along the wave axis, which has the form F = 2e 4 E 2 /3m 2 c 4 for weak plane waves. In the high-a regime the electron radiates much more strongly (∝ a 4 rather than a 2 in the low-a limit) and radiates high harmonics of the wave frequency [3,4].Previous work on the motion caused by radiation reaction in a strong wave has included numerical studies [8,5] and solutions to the Lorentz-Dirac equation (in the Landau approximation [3]) in special cases such as monochromatic linearly and circularly polarized waves [9]. The guiding-center formalism gives a simple result for the drift velocity, the quantity of primary interest, valid for an arbitrarily polarized, polychromatic wave.…”

mentioning

confidence: 99%

“…Previous work on the motion caused by radiation reaction in a strong wave has included numerical studies [8,5] and solutions to the Lorentz-Dirac equation (in the Landau approximation [3]) in special cases such as monochromatic linearly and circularly polarized waves [9]. The guiding-center formalism gives a simple result for the drift velocity, the quantity of primary interest, valid for an arbitrarily polarized, polychromatic wave.…”

mentioning

confidence: 99%

Nonlinear radiation pressure and stochasticity in ultraintense laser fields

Moore

1999

Phys. Rev. E

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The drift acceleration due to radiation reaction for a single electron in an ultraintense plane wave (a = eE/mcω ∼ 1) of arbitrary waveform and polarization is calculated and shown to be proportional to a 3 in the high-a limit. The cyclotron motion of an electron in a constant magnetic field and an ultraintense plane wave is numerically found to be quasiperiodic even in the high-a limit if the magnetic field is not too strong, as suggested by previous analytical work. A strong magnetic field causes highly chaotic electron motion and the boundary of the highly chaotic region of parameter space is determined numerically and shown to agree with analytical predictions.PACS numbers: 52.40.Nk 52.35.MwIt has been known for many years that qualitative changes occur in the behavior of an electron moving in an electromagnetic plane wave when the dimensionless strength a = eE/mcω is of order unity. Recent advances in laser pulse compression and amplification [1] have made it possible to attain such ultraintense waves in the laboratory and led to new investigations of their properties. One important effect is that an electron moving in an ultraintense electromagnetic plane wave and also subjected to slowly varying "background" fields behaves approximately like a particle of enhanced mass mγ 0 = m 1 + e 2 A µ A µ /m 2 c 4 drifting in the background fields. Here A is the vector potential and γ 0 = 1 + a 2 /2 for a linearly polarized monochromatic wave. The fast motion in the wave can be rigorously averaged over if the background fields are sufficiently weak and the plane wave is not so strong that pair creation effects become significant.The first part of this Letter uses the guiding-center equations obtained in the derivation of the enhancedmass approximation [2] to calculate the drift acceleration of an electron in a plane wave due to the radiation damping and reaction forces. In a strong wave, the variation of the electron effective mass mγ over the wave orbit must be properly accounted for to obtain the correct drift acceleration. The average drift acceleration is the quantity of greatest interest because experiments and astrophysical phenomena typically involve many wave periods. The guiding-center equations provide the tools to carry out the averaging and determine the motion of electrons under the (previously calculated) Lorentz-Dirac radiation force [3,4]. The second part of this Letter considers the destruction of the enhanced-mass behavior and transition to stochasticity as the strength of the background fields is increased to violate the field-strength condition eB back /mcω wave ≪ 1 necessary for the enhanced-mass derivation. The breakdown of the enhanced-mass picture is shown numerically to predict the onset of stochasticity even for very strong wave intensity. Both the nonlinear radiation acceleration and the stochasticity are expected to be significant in astrophysical situations, and the first effect may well be visible in laboratory experiments with ultraintense laser pulses.Classical calculations are valid f...

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On the influence of radiation friction on charge motion in a plane monochromatic wave field

Voloshchenko

Pavlenko

1975

Soviet Physics Journal

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Constant-Crossed-Field Acceleration, a Mechanism for the Generation of Cosmic Rays by Strong Low-Frequency Electromagnetic Waves

Cited by 8 publications

References 9 publications

Acceleration of charged particles and radiation reaction in strong plane and spherical waves. II

Acceleration of charged particles and radiation reaction in strong plane and spherical waves. II

Nonlinear radiation pressure and stochasticity in ultraintense laser fields

On the influence of radiation friction on charge motion in a plane monochromatic wave field

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