Scale invariance and scaling law of Thomson backscatter spectra of electrons moving in the resonance regime in combined laser and magnetic fields

Fu, Yi-Jia; Jiang, Chong; Lv, Chong; Wan, Feng; Sang, Hai-Bo; Xie, Bai-Song

doi:10.1103/physreva.94.052102

Cited by 14 publications

(71 citation statements)

References 31 publications

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“…2(b) shows that the peak amplitude is much higher but at a lower harmonic, which indicates that the cosine-envelope is capable of producing stronger radiation at a lower harmonic. Previous studies have proven that decreasing the laser intensity increases the Thomson backscatter radiation [23,24]. In the case of the laser field discussed in this study, the cosine-envelope decreases the average laser field intensity, which, in turn, increases the backscattering.…”

Section: (C) and 1(d)mentioning

confidence: 55%

“…Through numerical simulations, they found a scale invariance of the Thomson spectrum with respect to the laser intensity and initial axial momentum as scale factors in a high resonant regime [23], which can be as a natural but nontrivial extension of previous scaling law for the photon spectral density in [20] in the case of the presence of an external uniform magnetic field. Soon after, Jiang et al extended the investigation to the combined fields with an elliptically-polarized laser field.…”

Section: Introductionmentioning

confidence: 71%

“…Because under the exact resonance situations, in which either 1/n 1 = 0 or 1/n 2 = 0, the problem would be complex and have to be modified by the radiation damping force which can cause a certain of resonance width. In this paper, same as in previous publication [23] and others,…”

Section: Basic Equationsmentioning

confidence: 82%

“…When α = 0, the laser field becomes a circularlypolarized plane wave with a constant amplitude (i.e. constant enveloping), which has been studied previously [23].…”

Section: Basic Equationsmentioning

confidence: 99%

“…To compare with the combined constant-enveloped laser field and a uniform magnetic field studied in [23], we calculate the spectra with α = 0, p z0 = 0, a = 1, µ = 1, η in = −2π na ζ 2 + 1 2ζ 2 − 1 2 , and ω b = 1.1 (which results in n = 10) by varying m from 0 to 2000 with a step size of 1. The results are shown in Fig.…”

Section: (C) and 1(d)mentioning

confidence: 99%

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RETRACTED: Thomson backscattering in combined uniform magnetic and envelope modulating circularly polarized laser fields

Zhu

Xie

2019

J. Opt. Soc. Am. B

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The Thomson backscattering spectra in combined uniform magnetic and cosine-envelope circularly-polarized laser fields are studied in detail. With an introduction of the envelope modulation, the radiation spectra exhibit high complexity attributed to the strong nonlinear interactions.On the other hand, four fundamental laws related to the scale invariance of the radiation spectra are analytically revealed and numerically validated. They are the laws for the radiation energy as the 6th power of the motion constant exactly, also as the approximate negative 6th power with respect to the initial axial momentum and laser intensity in a certain of conditions, respectively, and finally an important self-similar law, i.e., when the circular laser frequency, the envelope modulation frequency, and the modified cyclotron frequency are simultaneously increased by a factor, the radiation energy will be increased by the second power of that factor without changing the shape of the spectrum. With the application of these laws, especially the last one, a much higher radiation energy can be obtained and the harmonic at which the maximum radiation occurs can be precisely tuned without changing its amplitude. These findings provide a possible way to advance radiation technology in many fields such as medicine, communications, astrophysics, and security.

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Section: (C) and 1(d)mentioning

confidence: 55%

Section: Introductionmentioning

confidence: 71%

Section: Basic Equationsmentioning

confidence: 82%

“…When α = 0, the laser field becomes a circularlypolarized plane wave with a constant amplitude (i.e. constant enveloping), which has been studied previously [23].…”

Section: Basic Equationsmentioning

confidence: 99%

Section: (C) and 1(d)mentioning

confidence: 99%

See 3 more Smart Citations

RETRACTED: Thomson backscattering in combined uniform magnetic and envelope modulating circularly polarized laser fields

Zhu

Xie

2019

J. Opt. Soc. Am. B

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Even-order harmonic generation from nonlinear Thomson backscatter in a tightly focused Gaussian laser pulse

Hong

Wei

et al. 2022

Physics of Plasmas

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The electron dynamics and the Thomson backscattering spectra for an electron accelerating in a tightly focused Gaussian laser pulse are first investigated in detail. It is found that for a tightly focused Gaussian laser pulse, the ponderomotive force introduced due to the non-uniform intensity distribution of the laser pulse has the tendency to push out the electron from the laser pulse, which leads to the trajectory symmetry-breaking of the electron and then the generation of the even-order harmonics at the same time. Further, for the tightly focused Gaussian laser pulse, changes in several laser parameters, such as the increase of the laser peak amplitude, lengthening of the pulse width, and decrease of the beam waist, lead earlier to the relative ejected position of the electron to the laser pulse, which causes the more obvious trajectory symmetry-breaking of the electron, and then the more intensive peak intensity of the even-order harmonics. It is different from the well-known results of the plane waves and the Gaussian laser pulse with uniform transverse intensity distribution and provides a possible way for the generation of the even-order harmonics in nonlinear Thomson backscattering.

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Nonlinear Thomson scattering in an arbitrary polarized laser field with a background magnetic field

et al. 2023

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The nonlinear Thomson scattering of an electron motion in a combining field constituted by an elliptically polarized laser and a background magnetic field is investigated. The dependence of electron trajectories, fundamental frequency, maximum radiation power in the spatial distribution, and the corresponding spatial angle on ellipticity are obtained. In addition, we find that the angular distributions of scattering spectra with respect to the azimuthal angle exhibit symmetry regardless of the order of harmonics, laser intensity, magnetic resonance parameter, and initial axial momentum. Meanwhile, the polar angle distribution of the spectra increasingly approaches the laser propagation direction with the laser intensity, magnetic resonance parameter, and initial axial momentum. The maximum radiated power increases, and the corresponding polar angle decreases. The optimal angle for the maximum radiated power per unit of solid, the corresponding photon number, and the photon brightness can be obtained, which implies that high-quality extreme ultraviolet (XUV) and/or x rays can be generated by the studied scheme when suitable parameters are chosen.

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Scale invariance and scaling law of Thomson backscatter spectra of electrons moving in the resonance regime in combined laser and magnetic fields

Cited by 14 publications

References 31 publications

RETRACTED: Thomson backscattering in combined uniform magnetic and envelope modulating circularly polarized laser fields

RETRACTED: Thomson backscattering in combined uniform magnetic and envelope modulating circularly polarized laser fields

Even-order harmonic generation from nonlinear Thomson backscatter in a tightly focused Gaussian laser pulse

Nonlinear Thomson scattering in an arbitrary polarized laser field with a background magnetic field

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