Multiphoton excitation and harmonic generation from the quantum electrodynamic vacuum

Avetissian, H. K.; Avetissian, A. K.; Avchyan, B. R.; Mkrtchian, G. F.

doi:10.1088/1612-202x/aae784

Cited by 5 publications

(13 citation statements)

References 32 publications

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“…. In order to use the weak amplitude approximation, we perform Taylor expansion of the first term in (44) to the first order, exp (ν b a) ≈ 1 + ν b a + . .…”

Section: Self-similar Solutionsmentioning

confidence: 99%

“…It shows that such harmonics are generated due to the QED effects, [43]. The rates of harmonics radiation at the electron-positron annihilation in the field of a strong pump wave were recently investigated in [44].In the Heisenberg-Euler approximation of QED, [30], the electromagnetic fields propagate in the dispersionless media whose refraction index depends on the electromagnetic field. This leads to the nonlinear response and the electromagnetic wave evolves into a configuration with gradient singularities [45] leading to formation of a shock…”

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Properties of finite amplitude electromagnetic waves propagating in the quantum vacuum

Kadlecová

Bulanov

Korn

2019

Plasma Phys. Control. Fusion

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We study two counter-propagating electromagnetic waves in the vacuum within the framework of the Heisenberg-Euler formalism in quantum electrodynamics. We show that the non-linear field equations decouple for ordinary wave case and can be solved exactly. We solve the non-linear field equations assuming the solution in a form of a Riemann wave. We discuss the properties of the nonlinear electromagnetic wave propagating in the quantum vacuum, such as the wave steepening, subsequent generation of high order harmonics and electromagnetic shock wave formation with electron-positron pair generation at the shock wave front.The increasing availability of high power lasers raises interest in experimental observation and motivates theoretical studies of non-linear QED in the laser-laser scattering [1][2][3][4][5][6][7][8][9][10][11], scattering of the XFEL emitted photons [12], and the interaction of relatively long wavelength radiation with the X-ray photons [13][14][15], nonlinear laserplasma interaction [16,17] and to complex problems on the boundary of non-linear QED, super intense lasers and plasma, nuclear and particle physics such as theoretical studying of MeV X-rays in a plasma that is generated by femtosecond laser pulses, the study of γ−induced nuclear reactions in plasma radiated by super-intense laser, or neutron production in laser plasma [18][19][20], non-linear cooperative electron-gamma-nuclear, multiphoton and other processes [21-23], fotonuclear physics, nuclear fission and fusion with laser-heated clusters and plasmas [24][25][26][27][28].The results expected to be obtained will allow us to test extensions of the Standard Model, in which new particles can participate in the loop diagrams and provide a window into a new physics (see search for the process in X-ray region [12]).Such non-linear process of light-by-light scattering breaks the linearity of the Maxwell equations and is one of the oldest predictions of quantum electrodynamics QED. The photon-photon scattering in a vacuum occurs via the generation of virtual electron-positron pairs creation resulting in vacuum polarization [29]. To investigate such process it is convenient to use Heisenberg-Euler approach in QED [29][30][31]. This problem was addressed as birefringence effect when the speed of wave propagation depends on the wave polarization, [32,33]. Birefringence was motivated by analogy with the effect in crystalography and means that the incoming light splits into two waves in the vacuum which serves as a medium: the ordinary wave and the extraordinary wave. The ordinary * Hedvika. Kadlecova@eli-beams.eu wave propagates parallel to the optic axis with polarization perpendicular to the optic axis and refractive index n or . Extraordinary wave has polarization in the direction of the optic axis and has refractive index n ex . For example, when unpolarized light enters an uniaxial birefringent material, it is split into two beams travelling different directions. The ordinary ray doesn't change direction while the extraordinary ray is refra...

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“…. In order to use the weak amplitude approximation, we perform Taylor expansion of the first term in (44) to the first order, exp (ν b a) ≈ 1 + ν b a + . .…”

Section: Self-similar Solutionsmentioning

confidence: 99%

mentioning

confidence: 99%

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Properties of finite amplitude electromagnetic waves propagating in the quantum vacuum

Kadlecová

Bulanov

Korn

2019

Plasma Phys. Control. Fusion

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“…( 4) of the induced Compton resonance, the formula of critical field has a relatively complex form and therefore it is not convenient to present here bulk expressions. The reader interested in more detailed information regarding the general cases of electrons "reflection" or capture by a slowed traveling wave at the arbitrary angle ϑ can find the corresponding expressions for critical field in the papers [14], [13], and [16], or more details in the work [12].…”

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confidence: 99%

“…Note that in 1977 the formula Eq. ( 22) has been applied by the author for explanation of the experiment on energetic widening of an electron beam at the induced Cherenkov process in a gaseous medium [19], implemented in SLAC by R. Pantell and his group [20] (see, also the cited next experiment of this group in 1981, made in the same conditions). These results, in particular, inelastic Kapitza-Dirac effect and diffraction on a traveling wave in a dielectric medium, as was mentioned above, had been received forty years ago and included in the monographs [21] and [23], as well as in the book [22].…”

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Electron diffraction on a traveling wave: “Inelastic Kapitza–Dirac effect”

Avetissian¹

2016

Laser Part. Beams

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In this paper conceptual points regarding electrons elastic (Kapitza-Dirac effect) and inelastic diffraction effect on the different type slowed electromagnetic wave structures/light gratings are considered. From the unified point of view it is analyzed the main works on this subject for last four decades in chronological order, pointing out the essential peculiarity inherent in induced Cherenkov, Compton, and undulator/wiggler processes too. This review article has also a goal to resolve confusion in scientific literature connected with the recently appeared paper [6] relating the electrons diffraction on a traveling wave in a dielectric medium.In recent years, especially after the realization of experiment on strongly coherent and intense laser beams [1], the interest to Kapitza-Dirac effect [2] has been increased. This, in particular, is conditioned by the significant role of observed electrons diffraction effect on highintensity laser beams-gratings [3], [1], since the diffracted from highly coherent laser gratings electron beams are coherent with each other, and Kapitza-Dirac effect is a very convenient, perhaps the best means to realize coherent electron beams (see, also, the review paper [4]). This is important fact that can serve as a basis for construction of diverse type new tools, e.g., coherent beam splitters, new type electron interferometers which would operate at rather low electron energies etc. Furthermore, since 1975 the scope of the Kapitza-Dirac effect, which is valid for the electrons elastic scattering on a standing light wave/grating, has been extended [7], [8], [9] for inelastic diffraction scattering of electrons on a slowed travelling wave propagating with the phase velocity v ph < c (c is the light speed in vacuum), to consideration of general aspects of which is devoted the present review article. The motivation of the latter have two reasons. First -that is the most important, is connected with the essential peculiarity inherent in mentioned processes (induced Cherenkov, Compton, and undulator/wiggler) [7], [8], [9] -existence of a critical field, above which a nonlinear threshold phenomenon arises radically changing the dynamics of electron-slowed travelling wave interaction, and consequently, the situation for inelastic diffraction scattering. Second, electrons diffraction effect on a travelling wave in a dielectric medium requires a special consideration because of a confusion in scientific literature connected with the appearance recently of a paper on this subject [6]. Therefore, apart from the pure scientific interest, the current review has a goal to clear up the-state-of-the-art in the considering field for last four decades in chronological order, to avoid the further confusion and misunderstandings in scientific literature.The predicted by Kapitza and Dirac in 1933 phenomenon of electrons diffraction scattering on a phase lattice of a standing light wave naturally for that time had an one-photon character because of the absence of strong and coherent radiation fields. The e...

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