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Weakly relativistic self-focusing of Gaussian laser beam in magnetized cold quantum plasma

Published online by Cambridge University Press:  12 December 2017

M. Aggarwal*
Affiliation:
Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar 144001, India
V. Goyal
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
Richa
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
H. Kumar
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
T.S. Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
*
Address correspondence and reprint requests to: M. Aggarwal, Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar 144001, India. E-mail: sonuphy333@gmail.com

Abstract

In the present paper, we have studied self-focusing of Gaussian laser beam in weakly relativistic magnetized cold quantum plasma. When interparticle distance is comparable to the de Broglie wavelength of charged particles, we cannot neglect the quantum contribution of plasma constituents. Therefore, propagation characteristics are studied by taking in to account quantum contribution in the presence of static magnetic field applied along the beam propagation. Our results show that the magnetic field plays a key role in achieving additional focusing, it modifies the quiver motion of electrons by adding cyclotron frequency to the natural frequency of oscillating electrons during laser beam propagation. The results are compared with those of weakly relativistic quantum plasma and weakly relativistic magnetized plasma. The self-focusing is found to be more pronounced when axial magnetic field is increased in the present model. We have setup the non-linear differential equation for the evolution of beam-width parameter by well-known paraxial ray approximation and solved it with the help of computational technique.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2017 

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References

REFERENCES

Aggarwal, M., Kumar, H., Richa, & Gill, T.S. (2017). Self-focusing of Gaussian laser beam in weakly relativistic and ponderomotive cold quantum plasma. Phys. Plasmas 24, 013108.Google Scholar
Akhmanov, S.A., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Sov. Phys. Uspekhi 10, 609636.Google Scholar
Askari, H.R. & Azish, Z. (2011). Effect of a periodic magnetic field on phase matching condition in second harmonic generation at interactions of laser-plasma. Optik 122, 1159.Google Scholar
Azechi, H. (2006). Present status of the FIREX programme for the demonstration of ignition and burn. Plasma Phys. Control. Fusion 48, B267.Google Scholar
Barnes, W., Dereux, A. & Ebbensen, T. (2003). Surface plasmon sub-wavelength optics. Nature 424, 824830.Google Scholar
Benvenuto, O.G. & De Vito, M.A. (2005). The formation of helium white dwarfs in close binary systems – II. Mon. Not. R. Astron. Soc. 362, 891.Google Scholar
Burnett, N.H. & Corkum, P.B. (1989). Cold-plasma production for recombination extreme-ultraviolet lasers by optical-field-induced ionization. J. Opt. Soc. Am. B 6, 1195.Google Scholar
Deutsch, C., Furukawa, H., Mima, K., Murakami, M. & Nishihara, K. (1996). Interaction physics of the fast ignitor concept. Phys. Rev. Lett. 77, 2483.CrossRefGoogle ScholarPubMed
Gill, T.S., Kaur, R. & Mahajan, R. (2010). Propagation of high power electromagnetic beam in relativistic magnetoplasma: Higher order paraxial ray theory. Phys. Plasma 17, 093101.CrossRefGoogle Scholar
Glenzer, S.H. & Redmer, R. (2009). X-ray Thomson scattering in high energy density plasmas. Rev. Mod. Phys. 81, 1625.Google Scholar
Gupta, D.N. & Suk, H. (2007). Electron acceleration to high energy by using two chirped lasers. Laser Part. Beams 25, 31.Google Scholar
Habibi, M. & Ghamari, F. (2011). Non-stationary self-focusing of intense laser beam in cold quantum plasma using ramp density profile. Phys. Plasmas 18, 103107.Google Scholar
Habibi, M. & Ghamari, F. (2012). Stationary self-focusing of intense laser beam in cold quantum plasma using ramp density profile. Phys. Plasmas 19, 113109.CrossRefGoogle Scholar
Harding, A.K. & Lai, D. (2006). Physics of strongly magnetized neutron stars. Rep. Prog. Phys. 69, 2631.CrossRefGoogle Scholar
Hora, H. (1969). Self-focusing of laser beams in a plasma by ponderomotive forces. Z. Phys. 226, 156.Google Scholar
Hora, H. (2007). New aspects for fusion energy using inertial confinement. Laser Part. Beams 25, 37.Google Scholar
Jung, Y.D. (2001). Quantum-mechanical effects on electron–electron scattering in dense high-temperature plasmas. Phys. Plasmas 8, 3842.Google Scholar
Jung, Y.D. & Murakami, I. (2009). Quantum effects on magnetization Plasmas. Phys. Lett. A 373, 969971.Google Scholar
Kumar, H., Aggarwal, M., Richa, & Gill, T.S. (2016). Combined effect of relativistic and ponderomotive nonlinearity on self-focusing of Gaussian laser beam in a cold quantum plasma. Laser Part. Beams 12, 426432.Google Scholar
Lalousis, P., Foldes, I.B. & Hora, H. (2012). Ultrahigh acceleration of plasma by picosecond terawatt laser pulses for fast ignition of fusion. Laser Part. Beams 30, 233242.Google Scholar
Lemoff, B.E., Yin, G.Y., Gordon, C.L., Barthy, C.P.J. & Harris, S.E. (1995). Demonstration of a 10-Hz femtosecond-pulse-driven XUV laser at 41.8 nm in Xe IX. Phys. Rev. Lett. 74, 1574.Google Scholar
Litvak, A.G. (1969). Theory of relativistic self-focusing of laser radiation in plasmas. Sov. Phys. JETP 30, 344.Google Scholar
Liu, C.S. & Tripathi, V.K. (2001). Self-focusing and frequency broadening of an intense short-pulse laser in plasmas. J. Opt. Soc. Am. A 18, 1714.Google Scholar
Lourenco, S., Kowarsch, N., Scheid, W. & Wang, P.X. (2010). Acceleration of electrons and electromagnetic fields of highly intense laser pulses. Laser Part. Beams 28, 195.Google Scholar
Marklund, M. & Shukla, P.K. (2006). Nonlinear collective effects in photon-photon and photon-plasma interactions. Rev. Mod. Phys. 78, 591.Google 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.CrossRefGoogle Scholar
Milchberg, H.M., Durfee, C.G. III & Mcllrath, T.J. (1995). High-order frequency conversion in the plasma waveguide. Phys. Rev. Lett. 75, 24942497.Google Scholar
Mulser, P. & Bauer, D. (2004). Fast ignition of fusion pellets with superintense lasers: concepts, problems, and prospectives. Laser Part. Beams 22, 5.Google Scholar
Ozbay, E. (2006). Plasmonics: merging photonics and electronics at nanoscale dimensions. Science 311, 189.Google Scholar
Pandey, B. & Tripathi, V.K. (2009). Anomalous transmission of an intense short-pulse through a magnetised overdense plasma. Phys. Scr. 79, 025101.Google Scholar
Parashar, J. (2009). Resonant second harmonic generation in a plasma filled parallel plane waveguide. Indian J. Pure Appl. Phys. 47, 103.Google Scholar
Parashar, J., Pandey, H.D. & Tripathi, V.K. (1997). Two-dimensional effects in a tunnel ionized plasma. Phys. Plasmas 4, 3040.Google Scholar
Patil, S.D. & Takale, M.V. (2013). Self-focusing of Gaussian laser beam in relativistic cold quantum plasma. Phys. Plasmas 20, 072703.Google Scholar
Patil, S.D., Takale, M.V., Navare, S.T., Dongare, M.B. & Fulari, V.J. (2013). Self-focusing of Gaussian laser beam in relativistic cold quantum plasma. Optiks 124, 180183.Google Scholar
Rathore, N.S. & Kumar, P. (2016). Ponderomotive self-focusing of linearly polarised laser beam in magnetized quantum plasma. Laser. Part. Beams 34, 764771.Google Scholar
Sarkisov, G.S., Bychenkov, C.R., Novikov, V.N., Tikhonchuk, V.T., Maksimchuk, A., Chen, S.Y., Wagner, R., Mourou, G. & Umstadter, D. (1999). Self-focusing, channel formation, and high-energy ion generation in interaction of an intense short laser pulse with a He jet. Phys. Rev. E 59, 7042.CrossRefGoogle ScholarPubMed
Sharma, A.K. & Kourakis, A. (2010). Relativistic laser pulse compression in plasmas with a linear axial density gradient. Plasma Phys. Control. Fusion 52, 065002.Google Scholar
Shpatakovskaya, G. (2006). Semiclassical model of a one-dimensional quantum dot. J. Exp. Theor. Phys. 102, 466.Google Scholar
Shukla, P.K. & Eliasson, B. (2007). Nonlinear interactions between electromagnetic waves and electron plasma oscillations in quantum plasmas. Phys. Rev. Lett. 99, 096401.Google Scholar
Singh, A., Aggarwal, M. & Gill, T.S. (2009). Dynamics of Gaussian spikes on Gaussian laser beam in relativistic plasma. Laser Part. Beams 27, 587593.CrossRefGoogle Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976). Self-focusing of laser beams in plasmas and semiconductors. Prog. Opt. 13, 169265.Google Scholar
Tabak, M., Hammer, J., Glinsky, M.E., Kruer, L., Wilks, S.C., Woodworth, J., Campbell, E.M., Perry, M.D. & Mason, R.D. (1994). Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 626.Google Scholar
Tajima, T. & Dawson, J.M. (1979). Laser electron accelerator. Phys. Rev. Lett. 43, 267.Google Scholar
Uhm, H.S., Nam, I.H. & Suk, H. (2012). Scaling laws of design parameters for plasma wakefield accelerators. Phys. Lett. A 376, 165.Google Scholar
Upadhyay, A., Tripathi, V.K., Sharma, A.K. & Pant, H.C. (2002). Asymmetric self-focusing of laser pulse in plasma. J. Plasmas Phys. 68, 75.Google Scholar
Varshney, M., Qureshi, K.A. & Varshney, D. (2006). Relativistic self-focusing of a laser beam in an inhomogeneous plasma. J. Plasmas Phys. 72, 195.Google Scholar
Vij, S., Gill, T.S. & Aggarwal, M. (2016). Effect of transverse magnetic field on spatiotemporal dynamics of quadruple Gaussian laser beam in plasma in weakly relativistic and ponderomotive regime. Phys. Plasmas 23, 12.Google Scholar
Wei, L. & Wang, Y. (2007). Quantum ion-acoustic waves in single-walled carbon nanotubes studied with a quantum hydrodynamic model. Phys. Rev. B 75, 193407.Google Scholar
Winterberg, F. (2008). Lasers for inertial confinement fusion driven by high explosives. Laser Part. Beams 26, 127.Google Scholar
Zare, S., Yazdani, E., Rezaee, S., Anvari, A. & Sadighi-Bonabi, R. (2015). Relativistic self-focusing of intense laser beam in thermal collisionless quantum plasma with ramped density profile. Phys. Rev. ST Accel. Beams 18, 041301.Google Scholar