Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-24T18:04:28.650Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of chirping on the intensity profile and growth rate of modulation instability of a laser pulse propagating in plasma

Published online by Cambridge University Press:  02 June 2011

Rohit K. Mishra  and
Pallavi Jha
Rohit K. Mishra
Affiliation:
Department of Physics, University of Lucknow, Lucknow, India
Pallavi Jha*
Affiliation:
Department of Physics, University of Lucknow, Lucknow, India
*
Address correspondence and reprint requests to: Pallavi Jha, Department of Physics, University of Lucknow, Lucknow 226007, India. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper deals with the analytical study of the effect of chirping of a laser pulse on its intensity profile, as it propagates in plasma. Considering a matched laser beam, graphical analysis of the intensity distribution across the chirped laser pulse and growth of modulation instability has been presented. Further, considering finite pulse effects to be a perturbation, the growth rate of modulation instability of the chirped laser pulse is evaluated and compared with that obtained due to an unchirped pulse.

Keywords

Chirped laser pulsesModulation instabilityPulse distortion in plasma
Type
Research Article
Information
Laser and Particle Beams , Volume 29 , Issue 2 , June 2011 , pp. 259 - 263
Copyright
Copyright © Cambridge University Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Agarwal, G.P. (1989). Nonlinear Fiber Optics. New York: Academic Press.Google Scholar
Antonsen, T.M. Jr., & Mora, P. (1993). Self-focusing and Raman scattering of laser pulses in tenuous plasmas. Phys. Fluids B 5, 1440–1452.CrossRefGoogle Scholar
Borghesi, M., Campbell, D.M., Schiavi, A., Willi, O., Galimberti, M., Gizzi, L.A., Mackinnon, A.J., Snavely, R.D., Patel, P., Hatchett, S., Key, M. & Hazarov, W. (2002). Propagation issues and energetic particle production in laser plasma interactions at intensities exceeding 1019 W/cm2. Laser Part. Beams 20, 31–38.CrossRefGoogle Scholar
Clark, D.S. & Fisch, N.J. (2005). Raman laser amplification in preformed and ionizing plasmas. Laser Part. Beams 23, 101–106.CrossRefGoogle Scholar
Dodd, E.S. & Umstadter, D. (2001). Coherent control of stimulated Raman scattering using chirped laser pulses. Phys. Plasmas 8, 3531–3534.CrossRefGoogle Scholar
Esarey, E., Schroeder, C. B. & Leemans, W. P. (2009). Physics of laser-driven plasma-based electron accelerators. Rev. Mod. Phys. 81, 1229–1285.CrossRefGoogle Scholar
Esarey, E., Sprangle, P., Krall, J. & Ting, A. (1996). Overview of plasma based accelerator concepts. IEEE Trans. Plasma Sc. 24, 252–288.CrossRefGoogle Scholar
Esarey, E., Sprangle, P., Krall, J. & Ting, A. (1997). Self-focusing and guiding of short laser pulses in ionizing gases and plasmas. IEEE J. Quantum Elec. 33, 1879–1914.CrossRefGoogle Scholar
Faure, J., Marquès, J. R., Malka, V., Amiranoff, F., Nazmudin, Z., Walton, B., Rousseau, J. P., Ranc, S., Solodov, A. & Mora, P. (2001). Dynamics of Raman instabilities using chirped laser pulses. Phys. Rev. E 63, 065401(1–4).CrossRefGoogle ScholarPubMed
Gill, T. S., Mahajan, R. & Kaur, R. (2010). Relativistic and ponderomotive effects on evolution of laser beam in a non-uniform plasma channel. Laser Part. Beams 28, 11–20.CrossRefGoogle Scholar
Jha, P., Kumar, P., Raj, G. & Upadhyaya, A.K. (2005). Modulation instability of laser pulses in magnetized plasma. Phys. Plasmas 12, 123104(1–6).CrossRefGoogle Scholar
Jha, P., Singh, R. G. & Upadhyay, A.K. (2009). Pulse distortion and modulation instability in laser plasma interaction. Phys. Plasmas 16, 013107(1–5).CrossRefGoogle Scholar
Kim, J.-H. & Nam, C.H. (2002). Plasma-induced frequency chirp of intense femtosecond lasers and its role in shaping high order harmonics spectral lines. Phys. Rev. A 65, 033801(1–5).CrossRefGoogle Scholar
Kline, J.L., Montgomery, D.S., Rousseaux, C., Baton, S.D., Tassin, V., Harelin, R.A., Flippo, K.A., Johnson, R.P., Shimada, T., Yin, L., Albright, B.J., Rose, H.A. & Amiranioff, F. (2009). Investigation of stimulated Raman scattering using a short pulse diffraction limited laser beam near the instability threshold. Laser Part. Beams 27, 185–190.CrossRefGoogle Scholar
Kumar, S. & Yoon, M. (2008). Electron acceleration by a chirped circularly polarized laser pulse in vacuum in the presence of a planar magnetic wiggler. Phys. Scr. 77, 025404(1–5).CrossRefGoogle Scholar
Leemans, W.P., Catravas, P., Esarey, E., Geddes, C.G.R., Toth, C., Trines, R., Schroeder, C.B., Shadwick, B.A., Tilborg, J. Van & Faure, J. (2002). Electron-yield enhancement in a laser-wakefield accelerator driven by asymmetric laser pulses. Phys. Rev. Lett. 89, 174802(1–4).CrossRefGoogle Scholar
Max, C.E., Arons, J. & Langdon, A.B. (1974). Self-modulation and self-focusing of electromagnetic waves in plasmas. Phys. Rev. Lett. 33, 209–212.CrossRefGoogle Scholar
Mckinstrie, C.J. & Bingham, R. (1992). Stimulated Raman forward scattering and the relativistic modulational instability of light waves in rarefied plasma. Phys. Fluids B 4, 2626–2633.CrossRefGoogle Scholar
Mori, W.B. (1997). The physics of nonlinear optics of plasmas at relativistics intensities for short-pulse lasers. IEEE J. Quantum Elect. 33, 1942–1953.CrossRefGoogle Scholar
Nuter, R., Skupin, S. & Bergé, L. (2005). Chirp induced dynamics of femtosecond filaments in air. Opt. Lett. 30, 917–919.CrossRefGoogle ScholarPubMed
Park, J., Lee, J.-H. & Nam, C.H. (2008). Laser chirp effect on femtosecond laser filamentation generated for pulse compression. Opt. Express 16, 4465–4470.CrossRefGoogle ScholarPubMed
Schroeder, C.B., Esarey, E., Geddes, C.G.R., Toth, C.S., Shadwick, B.A., Tilborg, J.Van, Faure, J. & Leemans, W.P. (2003). Frequency chirp and pulse shape effects in self-modulated laser wakefield accelerators. Phys. Plasmas 10, 2039–2046.CrossRefGoogle Scholar
Sprangle, P., Esarey, E. & Hafizi, B. (1997). Intense laser pulse propagation and stability in partially stripped plasmas. Phys. Rev. Lett. 79, 1046–1049.CrossRefGoogle Scholar
Sprangle, P., Esarey, E. & Hafizi, B. (1997). Propagation and stability of intense laser pulses in partially stripped plasmas. Phys. Rev. E 56, 5894–5907.CrossRefGoogle Scholar
Yau, T.-W., Hsu, C.-J., Chu, H.-H., Chen, Y.-H., Lee, C.-H., Wang, J. & Chen, S.-Y. (2002). Dependence of relativistic self-guiding and Raman forward scattering on duration and chirp of an intense laser pulse propagating in plasma. Phys. Plasmas 9, 391–394.CrossRefGoogle Scholar
Zhang, L., Fu, X., Deng, J., Zhang, J., Wen, S. & Fan, D. (2011). Role of chirp in spatiotemporal modulation instability of broadband pulsed laser. Laser Part. BeamsGoogle Scholar