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Radiation from Brunel-induced Langmuir waves in ultra-relativistic laser–plasma interactions

Published online by Cambridge University Press:  18 March 2015

R. Ondarza-Rovira*
Affiliation:
Departamento de Física, Instituto Nacional de Investigaciones Nucleares, Distrito Federal, Mexico
T.J.M. Boyd
Affiliation:
Centre for Theoretical Physics, University of Essex, Wivenhoe Park, Colchester, United Kingdom
*
Address correspondence and reprint requests to: Ricardo Ondarza-Rovira, Departamento de Física, Instituto Nacional de Investigaciones Nucleares, Carr. México-Toluca km 36.5, Municipio de Ocoyoacac, C.P. 52750, Edo. de México, Mexico. E-mail: [email protected]

Abstract

Intense laser light incident on solid targets has been shown to be a prolific source of harmonics. High harmonic intensities are characterized by a power-law spectrum Pm~mp, where p denotes a spectral decay index and m is the harmonic number. Across a wide range of light intensity and target plasma density, particle-in-cell (PIC) simulations have shown p = 8/3, a value supported by the observation. However, the claim that this decay is universal has been contested and shown to break down in simulations when the incident light is P-polarized. Here weaker decays with p = 5/3 and at higher intensities p = 4/3 were observed. The distinction between the two regimes was attributed to the contribution to the spectrum from emission at the plasma frequency and its harmonics from Langmuir waves excited by the Brunel electrons generated when the incident light is P-polarized. In the present work, a single-particle model has been devised to lend support to a wide range of PIC data. The model incorporates a Langmuir electric field and is hybrid in the sense that we have made use of PIC output to guide our choice of field amplitudes in the Langmuir source. We find that the spectrum computed in this way shows generally satisfactory agreement with the corresponding PIC spectra, both in decay coefficient and spectral cut-off. At the highest intensities considered the emission from the convective bunching of electrons in high-amplitude Langmuir waves is itself superseded by Brunel electron bremsstrahlung and we have identified the regions of parameter space over which each of these sources is dominant. Interestingly, the same distinction has been drawn in a very different plasma regime where comparably complex spectra have been predicted in gamma-ray burst spectra from Langmuir turbulence produced in astrophysical jets.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2015 

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References

REFERENCES

An Der Brügge, D. & Pukhov, A. (2010). Enhanced relativistic harmonics by electron nanobunching. Phys. Plasmas 17, 033110.CrossRefGoogle Scholar
Baeva, T., Gordienko, S. & Pukhov, A. (2006). Theory of high-order harmonic generation in relativistic laser interaction with overdense plasma. Phys. Rev. E 74, 046404.CrossRefGoogle ScholarPubMed
Boyd, T.J.M. & Ondarza-Rovira, R. (2010 a). Plasma effects in attosecond pulse generation. Phys. Lett. A 374, 15171521.CrossRefGoogle Scholar
Boyd, T.J.M. & Ondarza-Rovira, R. (2010 b). Power law decay of harmonic spectra in ultrarelativistic laser–plasma interactions. Phys. Plasmas 17, 080701.CrossRefGoogle Scholar
Dromey, B., Kar, S., Bellei, C., Carroll, D.C., Clarke, R.J., Green, J.S., Kneip, S., Markey, K., Nagel, S.R., Simpson, P.T., Willingale, L., Mckenna, P., Neely, D., Najmudin, Z., Krushelnick, K., Norreys, P.A. & Zepf, M. (2007). Bright multi-keV harmonic generation from relativistically oscillating plasma surfaces. Phys. Rev. Lett. 99, 085001.CrossRefGoogle ScholarPubMed
Fleishman, G.D. & Toptygin, I.N. (2008). Diffusive radiation in Langmuir turbulence produced by jet shocks. Mon. Not. R. Astron. Soc. 381, 14731481.CrossRefGoogle Scholar
Gibbon, P. (1996). Harmonic generation by femtosecond laser-solid interaction: a coherent “water-window” light source? Phys. Rev. Lett. 76, 5053.CrossRefGoogle ScholarPubMed
Norreys, P.A., Zepf, M., Moustaizis, S., Fews, A.P., Zhang, J., Lee, P., Bakarezos, M., Danson, C.N., Dyson, A., Gibbon, P., Loukakos, P., Neely, D., Walsh, F.N., Wark, J.S. & Dangor, A.E. (1996). Efficient extreme UV harmonics generated from picosecond laser pulse interactions with solid targets. Phys. Rev. 76, 18321835.Google ScholarPubMed
Teubner, U. & Gibbon, P. (2009). High-order harmonics from laser-irradiated plasma surfaces. Rev. Mod. Phys. 81, 445479.CrossRefGoogle Scholar
Weatherall, J.C. (1988). Electron-beam radiation in a strongly turbulent plasma. Phys. Rev. Lett. 60, 13021305.CrossRefGoogle Scholar
Weatherall, J.C. & Benford, G. (1991). Coherent radiation from energetic electron streams via collisionless bremsstrahlung in strong plasma turbulence. Astrophys. J. 378, 543549.CrossRefGoogle Scholar
Weatherall, J.C. & Hobbs, W.E. (1986). Radiation by electron bunching in large-amplitude Langmuir waves. Phys. Fluids 29, 22922297.CrossRefGoogle Scholar