Nonresonant scattering of an electron by a muon in the field of plane electromagnetic wave

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Possibility of amplification of electromagnetic radiation is theoretically studied in the scattering of a quasi-classical electron by an ion in the field of weak linearly polarized wave. Using the limiting process of the total cross-section at small values of adiabaticity parameter to Krainov's formula, the symmetrization of Berson's formula was performed. Expression for the total cross-section (the gain coefficient) for the wide interval of values of adiabaticity parameter was obtained. It was shown, that the wave amplification takes place in the range of values of adiabaticity parameter more than two and can be sufficiently large. Dependence of the maximum value of the total cross-section σ t max on the adiabaticity parameter ξ i

Section: -Is the Exponent Of Euler Constant Taking Into Account Asymmentioning

confidence: 95%

The radiation amplification effect in the scattering of a quasi-classical electron by an ion in the weak electromagnetic field

Freiv

Roshchupkin

2007

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“…Therefore in the case of scattering particles' relativistic energies for the range of the moderately strong fields all the essentially quantum terms, which are determined by the Bunkin-Fedorov quantum parameter γ 0e , cancel each other out after summation and the cross-section coincides with the cross-section of scattering of an electron by a muon in the absence of the external field, as in the case of plane monochromatic wave [21].…”

Section: Nonresonant Cross-section In the Case Of Electron And Muon Rmentioning

confidence: 91%

Nonresonant scattering of relativistic electron by relativistic muon in the pulsed light field

Padusenko¹,

Roshchupkin²,

Voroshilo³

2009

Abstract:The nonresonant scattering of an electron by a muon in the pulsed light field in the frame of the Born approximation in general relativistic case is investigated theoretically. The approximation when a pulsewidth is considerably greater than the characteristic time of the wave oscillation is considered. The analytical expressions for the amplitude and cross-section of electron-muon nonresonant scattering process are derived in case of moderately strong elliptically polarized pulsed laser wave. It is demonstrated, that the process partial cross-section in the pulsed laser field differs essentially from the corresponding one in the field of plane monochromatic wave. The dependence of the emission (absorption) probability W l on the quantum parameter γ0eμ at l = 5

“…4). Note that the very small angles (36) are excluded from the consideration. Provided that the hard spontaneous photon with energy ω ∼ mv 2 i /2 is emitted by an electron, the character of dependence changes qualitatively.…”

Section: Cross-section Of Sb In Pulsed Light Wavementioning

confidence: 99%

Spontaneous bremsstrahlung effect in the nonrelativistic electron scattering by a nucleus in the field of pulsed light wave

Lebed

Roshchupkin

2009

Abstract:The theory of nonresonant spontaneous bremsstrahlung by a nonrelativistic electron scattered by a nucleus in the field of a pulsed light wave is developed. The electron interaction with a Coulomb potential of a nucleus is considered in the first order of perturbation theory (the Born approximation), and the interaction with an external pulsed field is taken into account accurately. The approximation is examined when the pulsewidth is considerably greater than the characteristic time of wave oscillations. For the range of moderately strong fields the analytic expression for the nonresonant differential cross-section was obtained, which has the form of a sum over partial differential crosssections. It is shown, that in the case of nonrelativistic electron energy the partial cross-section is not factorable on the crosssection of electron-nucleus spontaneous bremsstrahlung in the absence of the external field and the emission-absorption probability of a certain number of wave photons. It is concluded, that the total cross-section of spontaneous bremsstrahlung of an electron scattered by a nucleus in the field of pulsed light wave summing over all possible partial processes differs essentially from the cross-section of electron-nucleus spontaneous bremsstrahlung in the absence of the external field.