Strong-field nondipole approximation in laser-assisted thermal electron scattering
Abstract
This study investigates the differential cross-section (DCS) of electrons scattered by a hydrogen molecule (H₂) under varying conditions, including temperature, momentum, laser intensity, and polarization. The objective was to understand how these parameters affect electron scattering and to compare the effects of linear and circular polarizations. Methodologically, theoretical model was developed using strong-field nondipole approximation with linear and circular polarized laser fields, examining DCS as a function of thermal electron temperature, momentum, and laser intensity. The study utilized a modified Volkov wave function model to account for thermal electron effects and analyzed DCS variations across different orbitals (n = 1, n = 2, and n = 3). Findings reveal that DCS increases with temperature due to enhanced electron oscillations, with higher orbitals (n = 3) showing greater DCS compared to lower orbitals (n = 1). Increased momentum results in decreased DCS, with higher orbitals exhibiting higher DCS values under circular polarization, contrary to linear polarization. Laser intensity decreases DCS for both polarizations, with circular polarization providing a narrower range of DCS values and generally higher DCS compared to linear polarization. This research further exploration of polarization effects on DCS in different atomic systems and extending studies to higher energy regions for a comprehensive understanding of electron scattering dynamics.
References
Bunkin FV, Kazakov AE, Fedorov MV. Interaction of intense optical radiation with free electrons (nonrelativistic case). Uspekhi Fizicheskih Nauk. 1972; 107(8): 559–593. doi: 10.3367/ufnr.0107.197208b.0559
Faisal FHM. Collision of electrons with laser photons in a background potential. Journal of Physics B: Atomic and Molecular Physics. 1973; 6(11): L312-L315. doi: 10.1088/0022-3700/6/11/003
Kroll NM, Watson KM. Charged-Particle Scattering in the Presence of a Strong Electromagnetic Wave. Physical Review A. 1973; 8(2): 804–809. doi: 10.1103/physreva.8.804
Bergou J, Varro S. Nonlinear scattering processes in the presence of a quantised radiation field. II. Relativistic treatment. Journal of Physics A: Mathematical and General. 1981; 14(9): 2281–2303. doi: 10.1088/0305-4470/14/9/023
Bergou J. Wavefunctions of a free electron in an external field and their application in intense field interactions. I. Non-relativistic treatment. Journal of Physics A: Mathematical and General. 1980; 13(8): 2817–2822. doi: 10.1088/0305-4470/13/8/029
Faisal FH. Theory of multiphoton processes. Springer Science & Business Media; 2013.
Ehlotzky F, Jaroń A, Kamiński JZ. Electron–atom collisions in a laser field. Physics reports. 1998; 297(2–3), 63–153.
Kanya R, Yamanouchi K. Numerical simulation of THz-wave-assisted electron diffraction for ultrafast molecular imaging. Physical Review A. 2017; 95(3). doi: 10.1103/physreva.95.033416
Barna IF, Pocsai MA, Varró S. The influence of a strong infrared radiation field on the conductance properties of doped semiconductors. The European Physical Journal Applied Physics. 2018; 84(2): 20101. doi: 10.1051/epjap/2018180156
Liang J, Han M, Liao Y, et al. Attosecond-resolved non-dipole photoionization dynamics. Nature Photonics. 2024; 18(4): 311–317. doi: 10.1038/s41566-023-01349-z
Böning B, Paufler W, Fritzsche S. Nondipole strong-field approximation for spatially structured laser fields. Physical Review A. 2019; 99(5). doi: 10.1103/physreva.99.053404
Rosenberg L, Zhou F. Generalized Volkov wave functions: Application to laser-assisted scattering. Physical Review A. 1993; 47(3): 2146–2155. doi: 10.1103/physreva.47.2146
Schafer KJ, Yang B, DiMauro LF, et al. Above threshold ionization beyond the high harmonic cutoff. Physical Review Letters. 1993; 70(11): 1599–1602. doi: 10.1103/physrevlett.70.1599
Argüello-Luengo J, Rivera-Dean J, Stammer P, et al. Analog Simulation of High-Harmonic Generation in Atoms. PRX Quantum. 2024; 5(1). doi: 10.1103/prxquantum.5.010328
Popruzhenko SV. Coulomb phase in high harmonic generation. Journal of Physics B: Atomic, Molecular and Optical Physics. 2018; 51(14): 144006. doi: 10.1088/1361-6455/aac787
Lindsey ML, Bekx JJ, Schlesinger KG, et al. Dynamically assisted nuclear fusion in the strong-field regime. Physical Review C. 2024; 109(4). doi: 10.1103/physrevc.109.044605
Mo M, Tamm A, Metsanurk E, et al. Direct observation of strong momentum-dependent electron-phonon coupling in a metal. Science Advances. 2024; 10(11). doi: 10.1126/sciadv.adk9051
Urdaneta G, Bak J, Pokharel S, et al. Implementation of Laser Thomson Scattering for Femtosecond Laser-Generated Plasma Channel Characterization. In: Proceedings of the AIAA SCITECH 2024 Forum; 2024. p. 0804.
Dhobi SH, Gupta SP, Yadav K, et al. Differential Cross Section with Volkov-Thermal Wave Function in Coulomb Potential. Atom Indonesia. 2024; 1(1): 19–25. doi: 10.55981/aij.2024.1309
Titi AS, Drake GWF. Quantum theory of longitudinal momentum transfer in above-threshold ionization. Physical Review A. 2012; 85(4): 041404. doi: 10.1103/physreva.85.041404
Milošević DB, Paulus GG, Bauer D, et al. Above-threshold ionization by few-cycle pulses. Journal of Physics B: Atomic, Molecular and Optical Physics. 2006; 39(14): R203–R262. doi: 10.1088/0953-4075/39/14/r01
Daněk J, Klaiber M, Hatsagortsyan KZ, et al. Interplay between Coulomb-focusing and non-dipole effects in strong-field ionization with elliptical polarization. Journal of Physics B: Atomic, Molecular and Optical Physics. 2018; 51(11): 114001. doi: 10.1088/1361-6455/aaba42
Peshkov AA, Seipt D, Surzhykov A, et al. Photoexcitation of atoms by Laguerre-Gaussian beams. Physical Review A. 2017; 96(2). doi: 10.1103/physreva.96.023407
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