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Particle acceleration by beating of two intense cross-focused cosh-Gaussian laser beams in plasma

Published online by Cambridge University Press:  18 January 2018

Bineet Gaur ,
Priyanka Rawat  and
Gunjan Purohit
Bineet Gaur
Affiliation:
Laser Plasma Computational Laboratory, Department of Physics, DAV (PG) College, Dehradun, Uttarakhand-248001, India
Priyanka Rawat
Affiliation:
Laser Plasma Computational Laboratory, Department of Physics, DAV (PG) College, Dehradun, Uttarakhand-248001, India
Gunjan Purohit*
Affiliation:
Laser Plasma Computational Laboratory, Department of Physics, DAV (PG) College, Dehradun, Uttarakhand-248001, India
*
Author for correspondence: Gunjan Purohit, Laser Plasma Computational Laboratory, Department of Physics, DAV (PG) College, Dehradun, Uttarakhand-248001, India E-mail: [email protected]
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Abstract

The effect of two intense cross-focused cosh-Gaussian laser (CGL) beams on the generation of electron plasma wave (EPW) and particle acceleration in collisionless plasma has been investigated under the relativistic–ponderomotive regime. Due to mutual interaction of two laser beams, cross-focusing takes place in plasma. The EPW is generated by the beating of two cross-focused CGL beams of frequencies ω1 and ω2. An analytical expression for the beamwidth of laser beams and EPW as well as the power of the generated EPW has been evaluated using Wentzel–Kramers–Brillouin and paraxial approximations. The energy of the accelerated electrons by the beat-wave process has also been calculated. Numerical simulations have been carried out to investigate the effect of typical laser plasma parameters on the power of excited EPW and acceleration of electrons. The results are compared with only relativistic nonlinearity and the Gaussian profile of laser beams. It is observed that CGL beams focused earlier than Gaussian beams, which significantly affected the dynamics of plasma wave excitation and particle acceleration. Numerical results indicate that there is a remarkable change in the power of generated EPW and electron acceleration in the relativistic–ponderomotive case in comparison with only relativistic case.

Keywords

Cosh-Gaussian laser beamcross-focusingelectron plasma waveparticle accelerationrelativistic–ponderomotive nonlinearity
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 1 , March 2018 , pp. 60 - 68
Copyright
Copyright © Cambridge University Press 2018 

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References

Akhmanov, SA, Sukhorukov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Soviet Physics – Uspekhi 10, 609–636.CrossRefGoogle Scholar
Amiranoff, F, Bernard, D, Cros, B, Jacquet, F, Matthieussent, G, Miné, P, Mora, P, Morillo, J, Moulin, F, Specka, AE and Stenz, C (1995) Electron acceleration in Nd-laser plasma beat-wave experiments. Physical Review Letters 74, 5220–5223.Google Scholar
Bingham, R (2006) Basic concepts in plasma accelerators. Philosophical Transactions of the Royal Society of London, Series A 364, 559–575.Google Scholar
Borisov, AM, Borovskiy, AV, Shiryaev, OB, Korobkin, VV and Prokhorov, AM (1992) Relativistic and charge-displacement self-channeling of intense ultrashort laser pulses in plasmas. Physical Review A 45, 5830–5845.CrossRefGoogle ScholarPubMed
Brandi, HS, Manus, C and Mainfray, G (1993) Relativistic and ponderomotive self-focusing of a laser beam in a radially inhomogeneous plasma: paraxial approximation. Physics of Fluids B 5, 3539–3550.CrossRefGoogle Scholar
Chen, WT, Chien, TY, Lee, CH, Lin, JY, Wang, J and Chen, SY (2004) Optically controlled seeding of Raman forward scattering and injection of electrons in a self-modulated laser-wakefield accelerator. Physical Review Letters 92, 075003-1–075003-4.Google Scholar
Clayton, CE, Everett, MJ, Lal, A, Gordon, D, Marsh, KA and Joshi, C (1994) Acceleration and scattering of injected electrons in plasma beat wave accelerator experiments. Physics of Plasmas 1, 1753–1760.Google Scholar
Clayton, CE, Joshi, C, Darrow, C and Umstadter, D (1985) Relativistic Plasma-Wave Excitation by Collinear Optical Mixing. Physical Review Letters 54, 2343–2346.Google Scholar
Clayton, CE, Marsh, KA, Dyson, A, Everett, M, Lal, A, Leemans, R, Williams, WP and Joshi, C (1993) Ultrahigh-gradient acceleration of injected electrons by laser-excited relativistic electron plasma waves. Physical Review Letters 70, 37–40.Google Scholar
Dyson, A, Dangor, AE, Dymoke-Bradshaw, AKL, Ashfar-Rad, T, Gibbon, P, Bell, AR, Danson, CN, Edwards, CB, Amiranoff, F, Matthieusent, G, Karttunen, SJ and Salomaa, RRE (1996) Observations of relativistic plasma waves excited by a 1.064 μm and 1.053 μm laser beat. Plasma Physics and Controlled Fusion 38, 505–525.Google Scholar
Ebrahim, NA (1994) Optical mixing of laser light in a plasma and electron acceleration by relativistic electron plasma waves. Journal of Applied Physics 76, 7645–7647.Google Scholar
Ebrahim, NA, Lavigne, P and Aithal, S (1985) Experiments on the plasma beat-wave accelerator. IEEE Transactions on Nuclear Science 32, 3539–3541.Google Scholar
Esarey, E, Schroeder, CB and Leemans, WP (2009) Physics of laser-driven plasma-based electron accelerators. Reviews of Modern Physics 81, 1229–1285.Google Scholar
Esarey, E, Sprangle, P, Krall, J and Ting, A (1996) Overview of plasma-based accelerator concepts. IEEE Transactions on Plasma Science 24, 252–288.Google Scholar
Everett, M, Lal, A, Gordon, D, Clayton, CE, Marsh, KA and Joshi, C (1994) Trapped electron acceleration by a laser-driven relativistic plasma wave. Nature 368, 527–529.Google Scholar
Filip, CV, Narang, R, Tochitsky, S, Clayton, CE, Musumeci, P, Yoder, RB, Marsh, KA, Rosenzweig, JB, Pellegrini, C and Joshi, C (2004) Non-resonant beat-wave excitation of relativistic plasma waves with constant phase velocity for charged-particle acceleration. Physical Review E 69, 026404.Google Scholar
Ghizzo, A, Bertrand, P, Begue, ML, Johnston, TW and Shoucri, MM (1996) A Hilbert-Vlasov code for the study of high-frequency plasma beat wave accelerator. IEEE Transactions on Plasma Science 24, 370–378.Google Scholar
Gibbon, P and Bell, AR (1988) Cascade focusing in the Beat-Wave accelerator. Physical Review Letters 61, 1599–1602.Google Scholar
Gorbunov, LM and Kirsanov, VI (1987) Excitation of plasma waves by an electromagnetic wave packet. Soviet Physics JETP 66, 290–294.Google Scholar
Gupta, DN, Singh, M and Suk, H (2015) Amplitude saturation effect of a laser-driven plasma beat-wave on electron accelerations. Journal of Plasma Physics 81, 1–8.Google Scholar
Gupta, MK, Sharma, RP and Gupta, VL (2005) Cross focusing of two laser beams and plasma wave excitation. Physics of Plasmas 12, 123101-1–123101-7.Google Scholar
Joshi, C (2007) The development of laser- and beam-driven plasma accelerators as an experimental field. Physics of Plasmas 14, 055501-1–055501-14.Google Scholar
Kalmykov, S, Yi, SA and Shvets, G (2009) All-optical control of nonlinear focusing of laser beams in plasma beat wave accelerator. Plasma Physics and Controlled Fusion 51, 024011-1–024011-13.Google Scholar
Kitagawa, Y, Matsumoto, T, Minamihata, T, Sawai, K, Matsuo, K, Mima, K, Nishihara, K, Azechi, H, Tanaka, KA, Takabe, H and Nakai, S (1992) Beat-wave excitation of plasma wave and observation of accelerated electrons. Physical Review Letters 68, 48–51.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, 505–510.Google Scholar
Krall, NA & Trivelpiece, AW (1973) Principles of Plasma Physics. New York: McGraw Hill.Google Scholar
Leemans, WP, Catravas, P, Esarey, E, Geddes, CGR, Toth, C, Trines, R, Schroeder, CB, Shadwick, BA, Van Tilborg, J and Faure, J (2002) Electron-yield enhancement in a Laser-Wakefield accelerator driven by asymmetric laser pulses. Physical Review Letters 89, 174802-1–174802-4.Google Scholar
Lu, B, Ma, H and Zhang, B (1999) Propagation properties of cosh-Gaussian beams. Optics Communications 164, 165–170.Google Scholar
Mahmoud, ST, Pandey, HD and Sharma, RP (2003) Beat-wave excitation of electron plasma wave by cross-focusing of two intense laser beams. Journal of Plasma Physics 69, 45–58.Google Scholar
Malka, V (2014) In the Proceedings of the CAS-CERN Accelerator School: Plasma Wake Acceleration, Geneva, Switzerland, 23–29 November 2014, edited by B. Holzer, CERN-2016-001 (CERN, Geneva, 2016).Google Scholar
Malka, V, Faure, J, Gauduel, YA, Lefebvre, E, Rousse, A and Phuoc, KT (2008) Principles and applications of compact laser–plasma accelerators. Nature Physics 4, 447–453.Google Scholar
Mori, WB, Joshi, C, Dawson, JM, Forslund, DW and Kindel, JM (1988) Evolution of self-focusing of intense electromagnetic waves in plasma. Physical Review Letters 60, 1298–1301.Google Scholar
Nakajima, K (1992) Plasma-wave resonator for particle-beam acceleration. Physical Review A 45, 1149–1156.Google Scholar
Patil, SD and Takale, MV (2013) Weakly relativistic ponderomotive effects on self-focusing in the interaction of cosh-Gaussian laser beams with a plasma. Laser Physics Letters 10, 115402-1–115402-5.CrossRefGoogle Scholar
Purohit, G, Chauhan, PK, Pandey, HD and Sharma, RP (2005) Effect of relativistic mutual interaction of two laser beams on the growth of laser ripple in plasma. Laser and Particle Beams 23, 69–77.Google Scholar
Purohit, G, Chauhan, PK and Sharma, RP (2008) Effect of a laser spike on the beat-wave excitation of a plasma wave. Physica Scripta 77, 065503-1–065503-8.Google Scholar
Purohit, G, Gaur, B and Rawat, P (2016) Propagation of two intense cosh-Gaussian laser beams in plasma in the relativistic-ponderomotive regime. Journal of the Optical Society of America B 33, 1716–1722.Google Scholar
Rawat, P, Singh, RK, Sharma, RP and Purohit, G (2014) Effects of relativistic and ponderomotive nonlinearties on the beat wave generation of electron plasma wave and particle acceleration in non-paraxial region. European Physical Journal D 68, 57-1–57-9.Google Scholar
Rosenbluth, MN and Liu, CS (1972) Excitation of plasma waves by two laser beams. Physical Review Letters 29, 701–705.Google Scholar
Sharma, RP and Chauhan, PK (2008) Nonparaxial theory of cross-focusing of two laser beams and its effects on plasma wave excitation and particle acceleration: Relativistic case. Physics of Plasmas 15, 063103-1–063103-7.Google Scholar
Singh, A and Gupta, N (2015) Beat wave excitation of electron plasma wave by relativistic cross focusing of cosh-Gaussian laser beams in plasma. Physics of Plasmas 22, 062115-1–062115-9.Google Scholar
Singh, M, Singh, RK and Sharma, RP (2013) THz generation by cosh-Gaussian lasers in a rippled density plasma. Europhysics Letters 104, 35002-1–35002-5.Google Scholar
Sodha, MS, Ghatak, AK and Tripathi, VK (1976) Self-focusing of laser beams in plasmas and semiconductors. Progress in Optics 13, 169–265.Google Scholar
Sodha, MS, Govind, , Tiwari, DP, Sharma, RP & Kaushik, SC (1979) Excitation of plasma wave by two coaxial Gaussian EM beams. Journal of Applied Physics 50, 158–164.Google Scholar
Sprangle, P, Esarey, E, Ting, A and Joyce, G (1988) Laser wakefield acceleration and relativistic optical guiding. Applied Physics Letters 53, 2146–2148.CrossRefGoogle Scholar
Tajima, T and Dawson, JM (1979) Laser electron accelerator. Physical Review Letters 43, 267–270.Google Scholar
Tang, CM, Sprangle, P and Sudan, RN (1985) Dynamics of space-charge waves in the laser beat wave accelerator. Physics of Fluids 28, 1974–1983.Google Scholar
Tochitsky, S, Narang, R, Filip, CV, Musumeci, P, Clayton, CE, Yoder, RB, Marsh, KA, Rosenzweig, JB, Pellegrini, C and Joshi, C (2004) Experiments on laser driven beatwave acceleration in a ponderomotively formed plasma channel. Physics of Plasmas 11, 2875–2881.Google Scholar
Umstadter, D, Esarey, E and Kim, J (1994) Nonlinear plasma waves resonantly driven by optimized laser pulse trains. Physical Review Letters 72, 1224–1227.CrossRefGoogle ScholarPubMed
Walton, B, Najmudin, Z, Wei, MS, Marle, C, Kingham, RJ, Krushelnick, K, Dangor, AE, Clarke, RJ, Poulter, MJ, Hernandez-Gomez, C, Hawkes, S, Neely, D, Collier, JL, Danson, CN, Fritzler, S and Malka, V (2002) Large-amplitude plasma wave generation with a high-intensity short-pulse beat wave. Optics letters 27, 2203–2205.Google Scholar
Walton, B, Najmudin, Z, Wei, MS, Marle, C, Kingham, RJ, Krushelnick, K, Dangor, AE, Clarke, RJ, Poulter, MJ, Hernandez-Gomez, C, Hawkes, S, Neely, D, Collier, JL, Danson, CN, Fritzler, S and Malka, V (2006) Measurements of plasma-wave generation using a short-pulse high-intensity laser beat wave. Physics of Plasmas 13, 013103-1–013103-9.Google Scholar