High-intensity multiphoton free-free transitions

Daniele, Rosalba; Trombetta, F.; Ferrante, G.; Cavaliere, P.; Morales, Francesca

doi:10.1103/physreva.36.1156

Cited by 14 publications

(15 citation statements)

References 18 publications

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“…Moreover, as has been found in [37], one can expect an interesting oscillating behaviour of cross sections when the ratio Vo/Vi (where Vo=COc% is the amplitude 159 of the classical oscillatory velocity of an electron in a plane-wave field and vi is the initial particle velocity) is equal or larger than unity. With the invention of powerful high-frequency lasers this question becomes now of practical interest.…”

Section: Exp(i F----~ Cos(o)t))~((2mf)l/3(x-% Sin(oot)supporting

confidence: 60%

Resonant scattering in the presence of strong laser fields

Kamiński

1990

Z Phys D - Atoms, Molecules and Clusters

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Resonant scattering in the presence of strong laser fields is investigated by solving numerically the one-dimensional Schr6dinger equation. It is shown that at high intensities of radiation one can observe new effects in free-free transitions like, for instance, the splitting and overlapping of the scattering resonances. The relation of these phenomena to multiphoton ionisation processes is also discussed. The Schr6dinger equation is solved by applying the approach proposed by Jung and Taylor [1] or by Varr6 and Ehlotzky [34]. It is also shown how the second approach can be generalised in order to treat more complicated problems like for instance the relativistic processes.

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Section: Exp(i F----~ Cos(o)t))~((2mf)l/3(x-% Sin(oot)supporting

confidence: 60%

Resonant scattering in the presence of strong laser fields

Kamiński

1990

Z Phys D - Atoms, Molecules and Clusters

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“…where the quantities A and B are lengthy expressions given as (A. 19) and (A.20) in the appendix. For the calculation of the heating rate in the case of low fields, (67), only two integrations have to be carried out numerically.…”

Section: The Second Born Approximationmentioning

confidence: 99%

“…A relativistic generalization of the transition rates was given by Schlessinger and Wright [17]. Brehme [18] and Daniele et al [19] investigated in detail the cross sections following the works [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…(A.9)By inserting the first equation of (A.8) into (A.7), the integration with respect to φ can be carried out. Substituting p → − p and → π − allows us to change the integration limits according to simplification of (A.7), we consider expressions of the formT n (ξ ) = ∞ −∞ d p p 2 ( p ) n−1 ( p 2 − ξ 2 − iλ)(z 2 + p 2 − 2 p P cos ) (A.11) z 2 + 2 p P)( p 2 1 + z 2 − 2 p 1 P) ( p 2 + z 2 − 2 p P)( p 2 1 + z 2 + 2 p 1 P) + − − 2z 2 ) + 1 0 2 pp 1 P 2In the brackets ··· ··· of (A 19…”

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confidence: 99%

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Inverse bremsstrahlung heating beyond the first Born approximation for dense plasmas in laser fields

et al. 2012

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Inverse bremsstrahlung (IB) heating, an important process in the laser-matter interaction, involves two different kinds of interaction-the interaction of the electrons with the external laser field and the electron-ion interaction. This makes analytical approaches very difficult. In a quantum perturbative approach to the IB heating rate in strong laser fields, usually the first Born approximation with respect to the electron-ion potential is considered, whereas the influence of the electric field is taken exactly in the Volkov wave functions. In this paper, a perturbative treatment is presented adopting a screened electron-ion interaction potential. As a new result, we derive the momentum-dependent, angle-averaged heating rate in the first Born approximation. Numerical results are discussed for a broad range of field strengths, and the conditions for the applicability of a linear approximation for the heating rate are analyzed in detail. Going a step further in the perturbation series, we consider the transition amplitude in the second Born approximation, which enables us to calculate the heating rate up to the third order of the interaction strength.

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“…A more detailed study of the quantum mechanical expression (10) can be found in Ref. [32], where it is shown that an enhancement of the total crosssection occurs for v 0 ∼ v E and an oscillatory behavior is observed for v 0 < v E . Note, that in the classical limit, ξl ≪ 1, Eq.…”

Section: A Analytical Expressionsmentioning

confidence: 99%

Enhanced inverse bremsstrahlung heating rates in a strong laser field

et al. 2003

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Test particle studies of electron scattering on ions, in an oscillatory electromagnetic field have shown that standard theoretical assumptions of small angle collisions and phase independent orbits are incorrect for electron trajectories with drift velocities smaller than quiver velocity amplitude. This leads to significant enhancement of the electron energy gain and the inverse bremsstrahlung heating rate in strong laser fields. Nonlinear processes such as Coulomb focusing and correlated collisions of electrons being brought back to the same ion by the oscillatory field are responsible for large angle, head-on scattering processes. The statistical importance of these trajectories has been examined for mono-energetic beam-like, Maxwellian and highly anisotropic electron distribution functions. A new scaling of the inverse bremsstrahlung heating rate with drift velocity and laser intensity is discussed.

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High-intensity multiphoton free-free transitions

Cited by 14 publications

References 18 publications

Resonant scattering in the presence of strong laser fields

Resonant scattering in the presence of strong laser fields

Inverse bremsstrahlung heating beyond the first Born approximation for dense plasmas in laser fields

Enhanced inverse bremsstrahlung heating rates in a strong laser field

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