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Enhanced harmonic generation by propagation of two-color p-polarized laser beams in plasma

Published online by Cambridge University Press:  16 February 2017

E. Agrawal
Affiliation:
Department of Physics, University of Lucknow, Lucknow-226007, India
N.K. Verma
Affiliation:
Department of Physics, University of Lucknow, Lucknow-226007, India
P. Jha*
Affiliation:
Department of Physics, University of Lucknow, Lucknow-226007, India
*
*Address correspondence and reprint requests to: P. Jha, Department of Physics, University of Lucknow, Lucknow-226007, India. E-mail: prof.pjha@gmail.com

Abstract

A theoretical model is developed for studying the generation of third-harmonic radiation by the interaction of obliquely incident, two-color p-polarized laser beams with spatially varying plasma density. The ratio of the fundamental frequencies of the two laser beams are considered to be an arbitrary integer. The amplitude of harmonic radiation obtained by oblique incidence of two-color laser fields propagating in homogeneous plasma is enhanced in comparison with that obtained by normal incidence of two-color laser beams. The periodicity of the plasma density allows the harmonic radiation to be phase-matched, leading to further increase in the amplitude of phase-matched harmonic radiation by an order of magnitude. The amplitude of the generated harmonic radiation increases with the increase in angle of incidence.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2017 

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References

REFERENCES

Abdelli, S., Khalfaoui, A., Kerdja, T. & Ghobrini, D. (1992). Laser-plasma interaction properties through second harmonic generation. Laser Part. Beams 10, 629637.CrossRefGoogle Scholar
Amendt, P., Eder, D.C. & Wilks, S.C. (1991). X-ray lasing by optical- field- induced ionization. Phys. Rev. Lett. 66, 2589/1–4.CrossRefGoogle ScholarPubMed
Chen, S.Y., Maksimchuk, A., Esarey, E. & Umstadter, D. (2000). Observation of phase-matched relativistic harmonic generation. Phys. Rev. Lett. 84, 5528/1–4.CrossRefGoogle ScholarPubMed
Clayton, C.E., Marsh, K.A., Dyson, A., Everett, M., Lal, A., Leemans, W.P., Williams, R. & Joshi, C. (1993). Ultrahigh-gradient acceleration of injected electrons by laser-excited relativistic electron plasma waves. Phys. Rev. Lett. 70, 37/1–4.CrossRefGoogle ScholarPubMed
Cohen, O., Popmintchev, T., Gaudiosi, D.M., Murnane, M. & Kapteyn, H.C. (2007). Unified microscopic-macroscopic formulation of high-order difference-frequency mixing in plasmas. Phys. Rev. Lett. 98, 043903/1–4.CrossRefGoogle ScholarPubMed
Esarey, E., Ting, A., Sprangle, P., Umstadter, D. & Liu, X. (1993). Nonlinear analysis of relativistic harmonic generation by intense lasers in plasmas. IEEE Trans. Plasma Sci. 21, 95104.CrossRefGoogle Scholar
Ferrante, G., Zarcone, M. & Uryupin, S.A. (2004). Laser even harmonics generation by a plasma embedded in a static electric field. Laser Phys. Lett. 1, 167171.CrossRefGoogle Scholar
Foldes, I.B., Kocsis, G., Racz, E., Szatmari, S. & Veres, G. (2003). Generation of high harmonics in laser plasmas. Laser Part. Beams 21, 517521.CrossRefGoogle Scholar
Ganeev, R.A., Singhal, H., Naik, P.A., Kulagin, I.A., Redkin, P.V., Chakera, J.A., Tayyab, M., Khan, R.A. & Gupta, P.D. (2009). Enhancement of high-order harmonic generation using a two-color pump in plasma plumes. Phys. Rev. A 80, 033845/1–8.CrossRefGoogle Scholar
Griffiths, D.J. (2008). Introduction to Electrodynamics, 3rd Edition. Pearson Prentice Hall, USA.Google Scholar
Giulietti, D., Banfi, G.P., Deha, I., Giulietti, A., Lucchesi, M., Nocera, L. & Ze Zun, CHEN. (1988). Second harmonic generation in underdense plasma. Laser Part. Beams 6, 141147.CrossRefGoogle Scholar
Jha, P. & Agrawal, E. (2014). Second harmonic generation by propagation of a p-polarized obliquely incident laser beam in underdense plasma. Phys. Plasmas 21, 053107/1–4.CrossRefGoogle Scholar
Jha, P., Mishra, R.K., Raj, G. & Upadhyay, A.K. (2007). Second harmonic generation in laser magnetized- plasma interaction. Phys. Plasmas 14, 053107/1–4.CrossRefGoogle Scholar
Jha, P., Verma, N.K. & Saroch, A. (2013). Harmonic generation by the propagation of two-colour laser beams in an underdense plasma. J. Plasma Phys. 79, 933938.CrossRefGoogle Scholar
Lindl, J. (1995). Development of the indirect-drive approach to inertial confinement fusion and the target physics basis for ignition and gain. Phys. Plasmas 2, 39334024.CrossRefGoogle Scholar
Liu, X., Umstadter, D., Esarey, E. & Ting, A. (1993). Harmonic generation by an intense laser pulse in neutral and ionized gases. IEEE Trans. Plasma Sci. 21, 9094.CrossRefGoogle Scholar
Mauritsson, J., Johnsson, P., Gustafsson, E., Huillier, A.L’, Schafer, K.J. & Garrade, M.B. (2006). Attosecond pulse trains generated using two color laser fields. Phys. Rev. Lett. 97, 013001/1–4.CrossRefGoogle ScholarPubMed
Milchberg, H.M., Clark, T.R., Durfee, C.G., Antonsen, T.M. & Mora, P. (1996). Development and applications of a plasma waveguide for intense laser pulses. Phys. Plasmas 3, 21492155.CrossRefGoogle Scholar
Mori, W.B., Decker, C.D. & Leemans, W.P. (1993). Relativistic harmonic content of nonlinear electromagnetic waves in underdense plasmas. IEEE Trans. Plasma Sci. 21, 110119.CrossRefGoogle Scholar
Rax, J.M. & Fisch, N.J. (1992). Third-harmonic generation with ultrahigh-intensity laser pulses. Phys. Rev. Lett. 69, 772775.CrossRefGoogle ScholarPubMed
Solem, J.C., Luk, T.S., Boyer, K. & Rhodes, C.K. (1989). Prospects for X-ray amplification with charge-displacement self-channeling. IEEE J. Quantum Electron 25, 24232430.CrossRefGoogle Scholar
Tabak, M., Hammer, J., Glinsky, M.E., Kruer, W.L., Wilks, S.C., Woodworth, J., Campbell, E.M., Perry, M.D. & Mason, R.J. (1994). Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 16261634.CrossRefGoogle Scholar
Tajima, T. & Dawson, J.M. (1979). Laser electron accelerator. Phys. Rev. Lett. 43, 267270.CrossRefGoogle Scholar
Verma, N.K., Agrawal, E. & Jha, P. (2015). Phase-matched second-harmonic generation via laser plasma interaction. Europhys. Lett. 109, 15001-p115001-p5.Google Scholar
Watanabe, S., Kondo, K., Nabekawa, Y., Sagisaka, A. & Kobayashi, Y.K. (1994). Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic. Phys. Rev. Lett. 73, 26922695.CrossRefGoogle Scholar