Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-22T19:39:35.307Z Has data issue: false hasContentIssue false
  • English
  • Français

Second harmonic generation of q-Gaussian laser beam in plasma channel created by ignitor heater technique

Published online by Cambridge University Press:  26 April 2019

Naveen Gupta
Naveen Gupta*
Affiliation:
School of Physical and Chemical Sciences, Lovely Professional University, Phagwara, India
*
Author for correspondence: Naveen Gupta, Lovely Professional University, Physics, Delhi Highway, Phagwada, Punjab, 144411, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents a scheme for second harmonic generation (SHG) of q-Gaussian laser beam in plasma channel created by ignitor heater technique. The ignitor beam creates plasma by tunnel ionization of air. The heater beam heats the plasma electrons and establishes a parabolic density profile. The third beam (q-Gaussian beam) is guided in this plasma channel under the combined effects of density nonuniformity of the plasma channel and relativistic mass nonlinearity of the plasma electrons. The propagation of q-Gaussian laser beam through the plasma channel excites an electron plasma wave at pump frequency that interacts with the incident laser beam to produce its second harmonics. The formulation is based on finding the numerical solution of the nonlinear Schrodinger wave equation for the fields of the incident laser beams with the help of moment theory approach. Particular emphasis is put on dynamical variations of the spot size of the laser beams and conversion efficiency of the second harmonics with distance of propagation.

Keywords

Harmonic generationplasma channelq-Gaussianself-focusing
Type
Research Article
Information
Laser and Particle Beams , Volume 37 , Issue 2 , June 2019 , pp. 184 - 196
Copyright
Copyright © Cambridge University Press 2019 

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

Agarwal, RN, Pandey, BK and Sharma, AK (2001) Resonant second harmonic generation of a millimeter wave in a plasma filled waveguide. Physica Scripta 63, 243.Google Scholar
Akhiezer, AI and Polovin, RV (1956) Theory of Wave Motion of an Electron Plasma. Soviet Physics JETP 3, 696.Google Scholar
Clark, TR and Milchberg, HM (1997) Time and space-resolved density evolution of the plasma waveguide. Physical Review Letters 78, 2373.Google Scholar
Clayton, CE, Tzeng, KC, Gordon, D, Muggli, P, Mori, WB, Joshi, C, Malka, V, Najmudin, Z, Modena, A, Neely, D and Dangor, AE (1998) Plasma wave generation in a self-focused channel of a relativistically intense laser pulse. Physical Review Letters 81, 100.Google Scholar
Ehrlich, Y, Cohen, C, Zigler, A, Krall, J, Sprangle, P and Esarey, E (1996) Guiding of high intensity laser pulses in straight and curved plasma channel experiments. Physical Review Letters 77, 4186.Google Scholar
Esarey, E, Sprangle, P, Krall, J and Ting, A (1997) Self-focusing and guiding of short laser pulses in ionizing gases and plasmas. IEEE Journal of Quantum Electronics 33, 1879.Google Scholar
Esarey, E, Schroeder, CB and Leemans, WP (2009) Physics of laser-driven plasma-based electron accelerators. Reviews of Modern Physics 81, 1229.Google Scholar
Faenov, AY, Magunov, AI, Pikuz, TA, Skobelev, IY, Gasilov, SV, Stagira, S, Calegari, F, Nisoli, M, Silvestri, S, Poletto, L, Villoresi, P and Andreev, AA (2007) X-ray spectroscopy observation of fast ions generation in plasma produced by short low-contrast laser pulse irradiation of solid targets. Laser and Particle Beams 25, 267.Google Scholar
Gupta, N and Singh, A (2016) Second harmonic generation of self-focused cosh-Gaussian laser beam in thermal quantum plasma by excitation of an electron plasma wave. Contributions to Plasma Physics 56, 889.Google Scholar
Hora, H and Ghatak, AK (1985) New electrostatic resonance driven by laser radiation at perpendicular incidence in superdense plasmas. Physical Review A 31, 3473.Google Scholar
Jha, P and Aggarwal, E (2014) Second harmonic generation by propagation of a p-polarized obliquely incident laser beam in underdense plasma. Physics of Plasmas 21, 053107.Google Scholar
Johnson, JL, Dorney, TD and Mittleman, DM (2001) Enhanced depth resolution in terahertz imaging using phase-shift interferometry. Applied Physics Letters 78, 835.Google Scholar
Kant, N and Sharma, AK (2004) Effect of pulse slippage on resonant second harmonic generation of a short pulse laser in a plasma. Journal of Physics D: Applied Physics 37, 998.Google Scholar
Keldysh, LV (1965) Ionization in the field of a strong electromagnetic wave. Soviet Physics JETP 20, 1307.Google Scholar
Kumar, A, Dahiya, D and Sharma, AK (2010) Laser prepulse induced plasma channel formation in air and relativistic self focusing of an intense short pulse. Physics of Plasmas 18, 023102.Google Scholar
Lam, JF, Lippmann, B and Tappert, F (1975) Moment theory of self-trapped laser beams with nonlinear saturation. Optics Communications 15, 419.Google Scholar
Lam, JF, Lippmann, B and Tappert, F (1977) Self-trapped laser beams in plasma. Physics of Fluids 20, 1176.Google Scholar
Leemans, WP, Clayton, CE, Mori, WB, Marsh, KA, Kaw, PK, Dyson, A, Joshi, C and Wallace, JM (1992) Experiments and simulations of tunnel-ionized plasmas. Physical Review A 46, 1091.Google Scholar
Liu, CS and Tripathi, VK (1994) Laser guiding in an axially nonuniform plasma channel. Physics of Plasmas 1, 3100.Google Scholar
Malka, V, Modena, A, Najmudin, Z, Dangor, AE, Clayton, CE, Marsh, KA, Joshi, C, Danson, C, Neely, D and Walsh, FN (1997) Second harmonic generation and its interaction with relativistic plasma waves driven by forward Raman instability in underdense plasmas. Physics of Plasmas 4, 1127.Google Scholar
Modena, A, Najmudin, Z, Dangor, AE, Clayton, CE, Marsh, KA, Joshi, C, Malka, V, Darrow, CB, Danson, C, Neely, D and Walsh, FN (2002) Electron acceleration from the breaking of relativistic plasma waves. Nature 377, 606.Google Scholar
Nakatsutsumi, M, Davies, JR, Kodama, R, Green, JS, Lancaster, KL, Akli, KU, Beg, FN, Chen, SN, Clark, D, Freeman, RR, Gregory, CD, Habara, H, Heathcote, R, Hey, DS, Highbarger, K, Jaanimagi, P, Key, MH, Krushelnick, K, Ma, T, MacPhee, A, MacKinnon, AJ, Nakamura, H, Stephens, RB, Storm, MM, Tampo, , Theobald, W, Woerkom, LV, Weber, RL, Wei, MS, Woolsey, NC and Norreys, PA (2008) Space and time resolved measurements of the heating of solids to ten million kelvin by a petawatt laser. New Journal of Physics 10, 043046.Google Scholar
Patel, PK, Key, MH, Mackinnon, AJ, Berry, R, Borghesi, M, Chambers, DM, Chen, H, Clarke, , Damian, C, Eagleton, R, Freeman, R, Glenzer, S, Gregori, G, Heathcote, R, Hey, D, Izumi, N, Kar, S, King, J, Nikroo, A, Niles, A, Park, HS, Pasley, J, Patel, N, Shepherd, R, Snavely, RA, Steinman, D, Stoeckl, C, Storm, M, Theobald, W, Town, R, Maren, RV, Wilks, SC and Zhang, B (2005) Integrated laser–target interaction experiments on the RAL petawatt laser. Plasma Physics and Controlled Fusion 47, B833.Google Scholar
Purohit, G, Chauhan, PK and Sharma, RP (2008) Dynamics of the excitation of an upper hybrid wave by a rippled laser beam in magnetoplasma. Physics of Plasmas 15, 052101.Google Scholar
Purohit, G, Sharma, P and Sharma, RP (2010) Excitation of an upper hybrid wave by two intense laser beams and particle acceleration. Physics Letters A 374, 866.Google Scholar
Rawat, P, Gauniyal, R and Purohit, G (2014) Growth of ring ripple in a collisionless plasma in relativistic- ponderomotive regime and its effect on stimulated Raman backscattering process. Physics of Plasmas 21, 06210.Google Scholar
Sharma, RP and Singh, RK (2013) Stimulated Brillouin backscattering of filamented hollow Gaussian beams. Laser and Particle Beams 31, 689.Google Scholar
Sharma, A and Kourakis, I (2010) Spatial evolution of a q-Gaussian laser beam in relativistic plasma. Laser and Particle Beams 28, 479.Google Scholar
Sharma, RP, Vyas, A and Singh, RK (2013) Effect of laser beam filamentation on coexisting stimulated Raman and Brillouin scattering. Physics of Plasmas 20, 102108.Google Scholar
Singh, A and Walia, K (2011 a) Self-focusing of Gaussian laser beam in collisional plasma and its effect on second harmonic generation. Laser and Particle Beams 29, 407.Google Scholar
Singh, A and Walia, K (2011 b) Self-focusing of Gaussian laser beam through collisionless plasmas and its effect on second harmonic generation. Journal of Fusion Energy 30, 555.Google Scholar
Singh, A and Walia, K (2013) Effect of self-focusing of Gaussian laser beam on second harmonic generation in relativistic plasma. Journal of Fusion Energy 33, 83.Google Scholar
Sodha, MS, Sharma, S and Kaw, PK (1968) Non-linear second harmonic generation in inhomogeneous semiconductors at low temperatures. Journal of Physics C Solid State Physics 1, 1128.Google Scholar
Sodha, MS, Sharma, JK, Tewari, DP, Sharma, RP and Kaushik, SC (1978) Plasma wave and second harmonic generation. Plasma Physics 20, 825.Google Scholar
Stamper, JA, Lehmberg, RH, Schmitt, A, Herbst, MJ, Young, FC, Gardner, JH and Obenshain, SP (1985) Evidence in the second-harmonic emission for self-focusing of a laser pulse in a plasma. Physics of Fluids 28, 2563.Google Scholar
Tajima, T and Dawson, JM (1979) Laser electron accelerator. Physical Review Letters 43, 267.Google Scholar
Teubner, U and Gibbon, P (2009) High-order harmonics from laser-irradiated plasma surfaces. Reviews of Modern Physics 81, 445.Google Scholar
Volfbeyn, P, Esarey, E and Leemans, WP (1999) Guiding of laser pulses in plasma channels created by the ignitor-heater technique. Physics of Plasmas 6, 2269.Google Scholar
Wang, L, Hong, XR, Sun, JN, Tang, RA, Yang, Y, Zhou, WJ, Tian, JM and Duan, WS (2017) Effects of relativistic and channel focusing on q-Gaussian laser beam propagating in a preformed parabolic plasma channel. Physics Letters A 381, 2065.Google Scholar
Yadav, P, Gupta, DN and Avinash, K (2016) Suppression of stimulated Brillouin instability of a beat-wave of two lasers in multiple-ion-species plasmas. Physics of Plasmas 23, 012110.Google Scholar
Young, PE and Bolton, PR (1996) Propagation of subpicosecond laser pulses through a fully ionized plasma. Physical Review Letters 77, 4556.Google Scholar