Evolution of the electron distribution function in intense laser-plasma interactions

Porshnev, P. I.; Bivona, S.; Ferrante, G.

doi:10.1103/physreve.50.3943

Cited by 19 publications

(20 citation statements)

References 7 publications

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“…With the expressions for the collision integrals (5) and (7), equation (4) is a nonlinear integro-differential equation for the EDF in the presence of a laser field. A huge number of papers (see, for instance, [3,4,[6][7][8][9][10][11][12][13][14][15][27][28][29][30][31][32]) have been devoted to the solution of this equation. Nevertheless, a general solution to this equation has still not been found.…”

Section: Basic Kinetic Equationmentioning

confidence: 99%

“…Thus, caution must be exercised in using the EDF (24) in applications where fast electrons play a significant role. Following a different procedure, in which numerical calculations and asymptotic behaviour considerations are exploited, a selfsimilar EDF has been obtained in [29], which accounts for the influence of electron-electron collisions as well. When such collisions may be neglected the self-similar EDF of [29] goes over to (24), while in the general case it exhibits a behaviour versus electron velocity intermediate between (24) and a Maxwellian with the same temperature.…”

Section: Distribution Function In a Weak Fieldmentioning

confidence: 99%

“…Following a different procedure, in which numerical calculations and asymptotic behaviour considerations are exploited, a selfsimilar EDF has been obtained in [29], which accounts for the influence of electron-electron collisions as well. When such collisions may be neglected the self-similar EDF of [29] goes over to (24), while in the general case it exhibits a behaviour versus electron velocity intermediate between (24) and a Maxwellian with the same temperature. The formation of selfsimilar distributions leads to significant changes in the values of plasma parameters such as the absorption coefficient [3,14], the electron transport coefficients [5-7, 14, 15], the rate of radiation recombination processes [16][17][18] and the growth rate of many instabilities [19][20][21]27].…”

Section: Distribution Function In a Weak Fieldmentioning

confidence: 99%

“…In fact, if conditions (34) are satisfied we can omit the electronelectron collision term in equation (29). For time intervals greater than the high-frequency field period t 2π/ω o , taking into account that u < v E , we can replace in equation (29) the diffusion tensor (30) by its average value over the highfrequency field period…”

Section: Distribution Function In a Strong Fieldmentioning

confidence: 99%

“…In particular, it has been shown that when the inequalities Zv T > v E > v T are fulfilled an anisotropic EDF is formed, which is well approximated by a bi-Maxwellian. Another way to deal with the problem under examination is to solve numerically the appropriate kinetic equation, yielding a two-dimensional EDF [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Response of Piezoelectric Lead–Zirconate–Titanate to Hypervelocity Silver Particles

Miyachi

Hasebe

Itô

et al. 2003

Jpn. J. Appl. Phys.

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A short review of the properties of electron distribution functions in a fully ionized plasma in the presence of high-frequency laser radiation is given. Weak and strong field situations are considered. In a weak field, when the amplitude of the electron quiver velocity in the field is smaller than the electron thermal velocity, the distributions of both the thermal and the under thermal electrons are considered. The conditions are shown when it is necessary to take into account the deviation of the electron distribution function from a Maxwellian. In a strong field the kinetics of the electron is strongly determined by the field intensity and the distribution function in the coordinate system oscillating with the radiation frequency is anisotropic under broad physical conditions, and may be approximated by a bi-Maxwellian distribution with two different transverse and longitudinal temperatures. Among the most peculiar features of the laser modified electron distribution functions, it is worth quoting the pathway of the anisotropy evolution. Depending on the laser field parameters, the distribution function in the initial stages of the laser-plasma interaction is either elongated or squeezed parallel to the field polarization. In the later stages it evolves towards isotropization, which is always approached from the elongated shape. Thus, an initially squeezed distribution function first evolves towards an elongated shape and subsequently towards isotropization. The physical origin and the consequences of the reported features are discussed. In addition, a number of physical processes for which the theory demands the use of the described non-equilibrium distribution functions are briefly addressed.

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Section: Basic Kinetic Equationmentioning

confidence: 99%

Section: Distribution Function In a Weak Fieldmentioning

confidence: 99%

Section: Distribution Function In a Weak Fieldmentioning

confidence: 99%

Section: Distribution Function In a Strong Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Response of Piezoelectric Lead–Zirconate–Titanate to Hypervelocity Silver Particles

Miyachi

Hasebe

Itô

et al. 2003

Jpn. J. Appl. Phys.

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Influence of a plasma medium on laser assisted radiative recombination

et al. 2004

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The problem of laser assisted radiation recombination, taking into account the influence of the plasma in which the elementary process takes place, is investigated theoretically. Among the reported results, remarkable broadening and enhancement of the X-ray photon emission spectrum is found, provided some conditions are met. First, a sufficiently intense laser field must assist the process. For enhancement, the intensity must be such that the amplitude of the quiver electron velocity be comparable or slightly larger than the electron thermal velocity. For broadening it is important that at the level of the elementary act of recombination several multiphoton channels be open. A judicious compromise between the plasma temperature and the field intensity is necessary to have many effective slow electrons able to absorb large numbers of photons from the assisting laser field to be converted into X-ray photons. Emitted power spectra per steradian and frequency unit of the emitted photon J(ω x ) in a.u. as a function ω x for a Maxwellian EDF, ion charge Z=3, ω L =0.057 a.u., laser intensity I L = 6×10 15 W/cm 2 , different values of plasma temperature: dotted line T =1a.u. and R=7.3; thick line T=1,5 a.u. and R=5.9; thin line T= 2 a.u. and R=5.1

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Laser even harmonics generation by a plasma embedded in a static electric field

2004

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Even order harmonics generation of the laser radiation due to electron-ion collisions in a plasma embedded in a constant electric field is investigated theoretically. Even harmonics are generated because the presence of a static electric field removes the invariance of the electron distribution function under the symmetry operation of velocity direction inversion. Efficiency generation dependencies are investigated vs different significant parameters as: harmonics number; the ratio of the electron quiver velocity to the thermal velocity; the orientation of the constant electric field with respect to the laser radiation electric field and its wavevector. It is shown that in the general case the polarization planes of different even harmonics are different and do not coincide with that of the generating laser radiation.

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Evolution of the electron distribution function in intense laser-plasma interactions

Cited by 19 publications

References 7 publications

Response of Piezoelectric Lead–Zirconate–Titanate to Hypervelocity Silver Particles

Response of Piezoelectric Lead–Zirconate–Titanate to Hypervelocity Silver Particles

Influence of a plasma medium on laser assisted radiative recombination

Laser even harmonics generation by a plasma embedded in a static electric field

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