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On the exploration of graphical and analytical investigation of effect of critical beam power on self-focusing of cosh-Gaussian laser beams in collisionless magnetized plasma

Published online by Cambridge University Press:  03 August 2018

T. U. Urunkar
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
S. D. Patil
Affiliation:
Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
A. T. Valkunde
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
B. D. Vhanmore
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
K. M. Gavade
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
M. V. Takale*
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
*
Author for correspondence: M. V. Takale, Department of Physics, Shivaji University, Kolhapur 416 004, India. E-mail: [email protected]

Abstract

The paper gives graphical and analytical investigation of the effect of critical beam power on self-focusing of cosh-Gaussian laser beams in collisionless magnetized plasma under ponderomotive non-linearity. The standard Akhmanov's parabolic equation approach under Wentzel–Kramers–Brillouin (WKB) and paraxial approximations is employed to investigate the propagation of cosh-Gaussian laser beams in collisionless magnetized plasma. Especially, the concept of numerical intervals and turning points of critical beam power has evolved through graphical analysis of beam-width parameter differential equation of cosh-Gaussian laser beams. The results are discussed in the light of numerical intervals and turning points.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2018 

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References

Aggarwal, M, Kumar, H and Kant, N (2016) Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 22122216.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2014) Propagation of cosh-Gaussian laser beam in plasma with density ripple in relativistic ponderomotive regime. Optik 125, 50815084.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2015 a) Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma. Optik 126, 57105714.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2015 b) Self-focusing of quadruple Gaussian laser beam in an inhomogeneous magnetized plasma with ponderomotive non-linearity: effect of linear absorption. Communications in Theoretical Physics 64, 565570.Google Scholar
Akhmanov, SA, Sukhorov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Soviet Physics Uspekhi 93, 609636.Google Scholar
Arora, V, Naik, PA, Chakera, JA, Bagchi, S, Tayyab, M and Gupta, PD (2014) Study of 1–8 keV K-α x-ray emission from high intensity femtosecond laser produced plasma. AIP Advances 4, 047106.Google Scholar
Chiao, RY, Garmire, E and Townes, CH (1964) Self-trapping of optical beams. Physical Review Letters 13, 479482.Google Scholar
Chu, X (2007) Propagation of a cosh-Gaussian beam through an optical system in turbulent atmosphere. Optics Express 15, 1761317618.Google Scholar
Chu, X, Ni, Y and Zhou, G (2007) Propagation of cosh-Gaussian beams diffracted by a circular aperture in turbulent atmosphere. Applied Physics B: Photophysics and Laser Chemistry 87, 547552.Google Scholar
Ganeev, RA, Toşa, V, Kovács, K, Suzuki, M, Yoneya, S and Kuroda, H (2015) Influence of ablated and tunnelled electrons on quasi-phase-matched high-order harmonic generation in laser-produced plasma. Physical Review A 91, 043823.Google Scholar
Ghotra, HS and Kant, N (2016) TEM modes influenced electron acceleration by Hermite–Gaussian laser beam in plasma. Laser and Particle Beams 34, 385393.Google Scholar
Gill, TS, Kaur, R and Mahajan, R (2011 a) Relativistic self-focusing and self-phase modulation of cosh-Gaussian laser beam in magnetoplasma. Laser and Particle Beams 29, 183191.Google Scholar
Gill, TS, Mahajan, R and Kaur, R (2010) Relativistic and ponderomotive effects on evolution of dark hollow Gaussian electro-magnetic beams in a plasma. Laser and Particle Beams 28, 521529.Google Scholar
Gill, TS, Mahajan, R and Kaur, R (2011 b) Self-focusing of cosh-Gaussian laser beam in a plasma with weakly relativistic and ponderomotive regime. Physics of Plasmas 18, 033110.Google Scholar
Gill, TS, Mahajan, R, Kaur, R and Gupta, S (2012) Relativistic self-focusing of super-Gaussian laser beam in plasma with transverse magnetic field. Laser and Particle Beams 30, 509516.Google Scholar
Gill, TS, Saini, NS, Kaul, SS and Singh, A (2004) Propagation of elliptic Gaussian laser beam in a higher order non-linear medium. Optik 11, 493498.Google Scholar
Hora, H (2007) New aspects for fusion energy using inertial confinement. Laser and Particle Beams 25, 3745.Google Scholar
Jha, P, Saroch, A and Mishra, RK (2011) Generation of wake-fields and terahertz radiation in laser magnetized plasma interaction. Europhysics Letters 91, 15001.Google Scholar
Jha, P, Saroch, A and Mishra, RK (2013) Wakefield generation and electron acceleration by intense super-Gaussian laser pulses propagating in plasma. Laser and Particle Beams 31, 583588.Google Scholar
Kaur, S, Kaur, M, Kaur, R and Gill, TS (2017) Propagation characteristics of Hermite-cosh-Gaussian laser beam in a rippled density plasmas. Laser and Particle Beams 35, 18.Google Scholar
Konar, S, Mishra, M and Jana, S (2007) Nonlinear evolution of cosh-Gaussian laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media. Physics Letters A 362, 505510.Google Scholar
Lu, B and Luo, S (2000) Beam propagation factor of hard-edge diffracted cosh-Gaussian beams. Optics Communications 178, 275281.Google Scholar
Lu, B, Ma, H and Zhang, B (1999) Propagation properties of cosh-Gaussian beams. Optics Communications 164, 165170.Google Scholar
Nanda, V and Kant, N (2014) Strong self-focusing of a cosh-Gaussian laser beam in collisionless magneto-plasma under plasma density ramp. Physics of Plasmas 21, 072111.Google Scholar
Niu, HY, He, XT, Qiao, B and Zhou, CT (2008) Resonant acceleration of electrons by intense circularly polarized Gaussian laser pulses. Laser and Particle Beams 26, 5159.Google Scholar
Patil, SD, Takale, MV, Navare, ST and Dongare, MB (2008) Cross focusing of two coaxial cosh-Gaussian laser beams in a parabolic medium. Optik 122, 18691871.Google Scholar
Patil, SD, Takale, MV, Navare, ST and Dongare, MB (2010) Focusing of Hermite-cosh-Gaussian laser beams in collisionless magneto plasma. Laser and Particle Beams 28, 343349.Google Scholar
Patil, SD, Takale, MV, Navare, ST, Fulari, VJ and Dongare, MB (2007) Analytical study of HChG-laser beam propagation in collisional and collisionless plasmas. Journal of Optics 36, 136144.Google Scholar
Patil, SD, Takale, MV, Navare, ST, Fulari, VJ and Dongare, MB (2012) Relativistic self-focusing of cosh-Gaussian laser beams in a plasma. Optics & Laser Technology 44, 314317.Google Scholar
Rajeev, R, Madhu Trivikram, T, Rishad, KPM, Narayanan, V, Krishnakumar, E and Krishnamurthy, M (2013) A compact laser driven plasma accelerator for megaelectronvolt energy neutral atoms. Nature Physics 9, 185190.Google Scholar
Saini, NS and Gill, TS (2006) Self-focusing and self-phase modulation of an elliptic Gaussian laser beam in collisionless magneto-plasma. Laser and Particle Beams 24, 447453.Google Scholar
Sari, AH, Osman, F, Doolan, KR, Ghoranneviss, M, Hora, H, Hopfl, R, Benstetter, G and Hantehzadehi, MH (2005) Application of laser driven fast high density plasma blocks for ion implantation. Laser and Particle Beams 23, 467473.Google Scholar
Sharma, A, Kourakis, I and Sodha, MS (2008) Propagation regimes for an electromagnetic beam in magnetized plasma propagation regimes for an electromagnetic beam in magnetized plasma. Physics of Plasmas 15, 103103.Google Scholar
Sharma, A, Prakash, G, Verma, MP and Sodha, MS (2003) Three regimes of intense laser beam propagation in plasmas. Physics of Plasmas 10, 40794084.Google Scholar
Sharma, A, Verma, MP and Sodha, MS (2004) Self focusing of electromagnetic beams in collisional plasmas with nonlinear absorption. Physics of Plasmas 11, 42754279.Google Scholar
Singh, A, Aggarwal, M and Gill, TS (2008) Optical guiding of elliptical laser beam in nonuniform plasma. Optik 119, 559564.Google Scholar
Singh, A, Aggarwal, M and Gill, TS (2009) Dynamics of filament formation in magnetized laser produced plasma. Physica Scripta 80, 015502.Google Scholar
Sodha, MS, Ghatak, AK and Tripathi, VK (1974) Self-Focusing of Laser Beams in Dielectrics, Plasmas and Semiconductors. Delhi: Tata-McGraw-Hill.Google Scholar
Sodha, MS, Ghatak, AK and Tripathi, VK (1976) Self-focusing of laser beams in plasmas and semiconductors. Progress in Optics 13, 169265.Google Scholar
Sodha, MS, Mishra, SK and Agarwal, SK (2007) Self-focusing and cross-focusing of Gaussian electromagnetic beams in fully ionized collisional magnetoplasmas. Physics of Plasmas 14, 112302.Google Scholar
Sodha, MS, Mishra, SK and Misra, S (2009) Focusing of dark hollow Gaussian electromagnetic beams in plasma. Laser and Particle Beams 27, 5768.Google Scholar
Tabak, M, Hammer, J, Glinsky, ME, Kruer, WL, Wilks, SC, Woodworth, J, Campbell, EM, Perry, MD and Mason, RJ (1994) Ignition and high gain with ultrapowerful lasers. Physics of Plasmas 1, 16261634.Google Scholar
Valkunde, AT, Patil, SD, Vhanmore, BD, Urunkar, TU, Gavade, KM and Takale, MV (2018 a) Effect of exponential density transition on self-focusing of q-Gaussian laser beam in collisionless plasma. AIP Conference Proceedings 1953, 140088.Google Scholar
Valkunde, AT, Patil, SD, Vhanmore, BD, Urunkar, TU, Gavade, KM, Takale, MV and Fulari, VJ (2018 b) Analytical investigation on domain of decentered parameter for self-focusing of Hermite-cosh-Gaussian laser beam in collisional plasma. Physics of Plasmas 25, 033103.Google Scholar
Vhanmore, BD, Patil, SD, Valkunde, AT, Urunkar, TU, Gavade, KM and Takale, MV (2017) Self-focusing of asymmetric cosh-Gaussian laser beams propagating through collisionless magnetized plasma. Laser and Particle Beams 35, 670676.Google Scholar
Vhanmore, BD, Patil, SD, Valkunde, AT, Urunkar, TU, Gavade, KM, Takale, MV and Gupta, DN (2018) Effect of q-parameter on relativistic self-focusing of q-Gaussian laser beam in plasma. Optik 158, 574579.Google Scholar
Vij, S, Gill, TS and Aggarwal, M (2016 a) Effect of the transverse magnetic field on spatiotemporal dynamics of quadruple Gaussian laser beam in plasma in weakly relativistic and ponderomotive regime. Physics of Plasmas 23, 123111.Google Scholar
Vij, S, Kant, N and Aggarwal, M (2016 b) Resonant third harmonic generation in clusters with density ripple: effect of pulse slippage. Laser and Particle Beams 34, 171177.Google Scholar
Winterberg, F (2008) Laser for inertial confinement fusion driven by high explosives. Laser and Particle Beams 26, 127135.Google Scholar