Abstract
The self-focusing of zeroth-order Bessel–Gaussian beams through plasma under exponential and tangential ramp density profiles is investigated theoretically by using Wentzel–Kramers–Brillouin approximation. To examine the effect of plasma density ramp on self-focusing of the studied beams, the evolution of beam-width parameter with normalized propagation distance is reported for diverse laser beams and plasma parameters. The results reveal that stronger self-focusing is obtained with exponential ramp density profile as compared to the tangential density ramp one.
Similar content being viewed by others
References
Aggarwal, M., Kumar, H., Kant, N.: Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 2212–2216 (2016)
Akhmanov, S.A., Sukhorukov, A.P., Khokhlov, R.V.: Self-focusing and diffraction of light in a nonlinear medium. Sov. Phys. Uspekhi 10, 609–636 (1968)
Amendt, P., Eder, D.C., Wilks, S.C.: X-ray lasing by optical-field-induced ionization. Phys. Rev. Lett. 66, 2589–2592 (1991)
Arlt, J., Chávez, V.G., Sibbett, W., Dholakia, K.: Optical micromanipulation using a Bessel light beam. Opt. Commun. 197, 239–245 (2001)
Baranova, N.B., Zeldovich, B.Y., Scully, M.O.: Acceleration of charged particles by laser beams. J. Exp. Theor. Phys. 78, 249–258 (1994)
Cang, J., Zhang, Y.: Axial intensity distribution of truncated Bessel–Gauss beams in a turbulent atmosphere. Optik 121, 239–245 (2010)
Chen, X.L., Sudan, R.N.: Necessary and sufficient conditions for self-focusing of short ultraintense laser pulse in underdense plasma. Phys. Rev. Lett. 70, 2082–2085 (1993)
Chen, F., Li, J., Belafhal, A., Chafiq, A., Sun, X.: Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle. Laser Phys. Lett. 15, 1–5 (2018)
Eder, D.C., Amendt, P., DaSilva, L.B., London, R.A., MacGowan, B.J., Matthews, D.L., Penetrante, B.M., Rosen, M.D., Wilks, S.C., Donnelly, T.D., Falcone, R.W., Strobel, G.L.: Tabletop X-ray lasers. Phys. Plasmas 1, 1744–1752 (1994)
Fahrbach, F.O., Simon, P., Rohrbach, A.: Microscopy with self-reconstructing beams. Nat. Photonics 4, 780–785 (2010)
Feit, M.D., Komashko, A.M., Rubenchik, A.M.: Relativistic self-focusing in under dense plasma. Physica D 152–153, 705–713 (2001)
Florjanczyk, M., Tremblay, R.: Guiding of atoms in a travelling-wave laser trap formed by the axicon. Opt. Commun. 73, 448–450 (1989)
Gori, F., Guattari, G.: Bessel–Gauss beams. Opt. Commun. 64, 491–495 (1987)
Gupta, D.N., Hur, M.S., Hwang, I., Suk, H.: Plasma density ramp for relativistic self-focusing of an intense laser. J. Opt. Soc. Am. B 24, 1155–1159 (2007)
Habibi, M., Ghamari, F.: Stationary self-focusing of intense laser beam in cold quantum plasma using ramp density profile. Phys. Plasmas 19, 103110-1–103110-6 (2012a)
Habibi, M., Ghamari, F.: Investigation of non-stationary self-focusing of intense laser pulse in cold quantum plasma using ramp density profile. Phys. Plasmas 19, 113109-1–113109-6 (2012b)
Hafizi, B., Tang, A., Sprangle, P., Hubbard, R.F.: Relativistic focusing and ponderomotive channeling of intense laser beams. Phys. Rev. E 62, 4120–4125 (2000)
Herman, R.M., Wiggins, T.A.: Production and uses of diffractionless beams. J. Opt. Soc. Am. A 8, 932–942 (1991)
Hora, H.: Theory of relativistic self-focusing of laser radiation in plasmas. J. Opt. Soc. Am. 65, 882–886 (1975)
Hricha, Z., Dalil-Essakali, L., Belafhal, A.: Axial intensity distribution and focal shifts of focused partially coherent conical Bessel–Gauss beams. Opt. Quant. Electron. 35, 101–110 (2003)
Kant, N., Wani, M.A.: Density transition based self-focusing of cosh-Gaussian laser beam in plasma with linear absorption. Commun. Theor. Phys. 64, 103–107 (2015)
Lu, B., Huang, W.: Focal shift in unapertured Bessel–Gauss beams. Opt. Commun. 109, 43–46 (1994)
Mitri, F.G.: Nonparaxial Bessel and Bessel–Gauss pincers light-sheets. Phys. Lett. A 190, 1–5 (2016)
Nanda, V., Kant, N.: Enhanced relativistic self-focusing of Hermite-cosh-Gaussian laser beam in plasma under density transition. Phys. Plasmas 21, 042101-1–042101-6 (2014)
Nanda, V., Kant, N., Wani, M.A.: Self-focusing of a Hermite-cosh Gaussian laser beam in a magnetoplasma with ramp density profile. Phys. Plasmas 20, 113109-1–113109-7 (2013)
Ouahid, L., Dalil-Essakali, L., Belafhal, A.: Relativistic self-focusing of finite Airy–Gaussian beams in collisionless plasma using the Wentzel–Kramers–Brillouin approximation. Optik 154, 58–66 (2018a)
Ouahid, L., Dalil-Essakali, L., Belafhal, A.: Effect of light absorption and temperature on self-focusing of finite Airy–Gaussian beams in a plasma with relativistic and ponderomotive regime. Opt. Quant. Electron. 50(216), 1–17 (2018b)
Ouahid, L., Dalil-Essakali, L., Belafhal, A.: Contribution to the study of lowest order Bessel–Gaussian beams propagating in thermal quantum plasma. Optik 174, 106–113 (2018c)
Ouahid, L., Dalil-Essakali, L., Belafhal, A.: Impact of light absorption and temperature on self-focusing of zeroth-order Bessel–Gauss beams in a plasma with relativistic-ponderomotive regime. Opt. Quant. Electron. 50(398), 1–12 (2018d)
Patil, S.D., Takale, M.V.: Self-focusing of Gaussian laser beam in weakly relativistic and ponderomotive regime using upward ramp of plasma density. Phys. Plasmas 20, 083101-1–083101-5 (2013)
Patil, S.D., Takale, M.V., Fulari, V.J., Gupta, D.N., Suk, H.: Combined effect of ponderomotive and relativistic self-focusing on laser beam propagation in a plasma. Appl. Phys. B 111, 1–6 (2013)
Patil, S.D., Takale, M.V., Gill, T.S.: Effect of light absorption on relativistic self-focusing of Gaussian laser beam in plasma. Eur. Phys. J. D 69, 163-1–163-4 (2015)
Patil, S.D., Takale, M.V., Fulari, V.J., Gill, T.S.: Sensitiveness of light absorption for self-focusing at laser-plasma interaction with weakly relativistic and ponderomotive regime. Laser Part. Beams 16, 1–6 (2016)
Saad, F., Belafhal, A.: Conical refraction with Bessel–Gaussian beam modulated by Bessel gratings using biaxial crystals. Optik 127, 10868–10874 (2016)
Sabaeian, M., Nadgaran, H.: Bessel–Gauss beams: investigations of thermal effects on their generation. Opt. Commun. 281, 672–678 (2008)
Sharma, P.: Self-focusing of Hermite–Gaussian laser beam with relativistic nonlinearity. AIP Conf. Proc. 1670, 030029–1–030029-4 (2015)
Sodha, M.S., Ghatak, A.K., Tripathi, V.K.: Self-focusing of laser beams in plasmas and semiconductors. Prog. Opt. 13, 169–265 (1976)
Sprangle, P., Esarey, E., Krall, J.: Laser driven electron acceleration in vacuum, gases and plasmas. Phys. Plasmas 3, 2183–2190 (1996)
Sturrock, P.A., Ball, R.H., Baldwin, D.E.: Radiation at the plasma frequency and its harmonic from a turbulent plasma. Phys. Fluids 8, 1509–1516 (1965)
Thakur, V., Kant, N.: Resonant second harmonic generation in plasma under exponential density ramp profile. Optik 168, 159–164 (2018)
Valkunde, A.T., Patil, S.D., Takale, M.V., Vhanmore, B.D., Urunkar, T.U., Gavade, K.M., Gupta, D.N.: Exponential density transition based self-focusing of Gaussian laser beam in collisional plasma. Optik 158, 1034–1039 (2018)
Wani, M.A., Kant, N.: Investigation of relativistic self-focusing of Hermite-cosine-Gaussian laser beam in collisionless plasma. Light Electron Opt. 57340, 1–5 (2016a)
Wani, M.A., Kant, N.: Nonlinear propagation of Gaussian laser beam in an inhomogeneous plasma under plasma density ramp. Optik 127, 6710–6714 (2016b)
Willes, A.J., Robinson, P.A., Melrose, D.B.: Second harmonic electromagnetic emission via Langmuir wave coalescence. Phys. Plasmas 3, 149–159 (1996)
Yang, Y., Li, Y.: Spectral shifts and spectral switches of a pulsed Bessel–Gauss beam from a circular aperture in the far field. Opt. Laser Technol. 39, 1478–1484 (2007)
Zhang, Q., Cheng, X., Chen, H., He, B., Ren, Z., Zhang, Y., Bai, J.: Enhancement of phase conjugation degenerate four-wave mixing using a Bessel beam. Photonics Res. 6, 162–167 (2018)
Zhanga, Z., Zenga, X., Miaoa, Y., Fanc, Y., Gaoa, X.: Focusing properties of vector Bessel–Gauss beam with multiple-annular phase wavefront. Optik 157, 240–247 (2018)
Zhao, C., Huang, K., Lu, X.: Propagation properties of Bessel and Bessel–Gaussian beams in a fractional Fourier transform optical system. Opt. Laser Technol. 42, 280–284 (2010)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ouahid, L., Dalil-Essakali, L. & Belafhal, A. Self-focusing of pseudo-nondiffracting laser beams with circular symmetry in collisional plasma under two ramp density profiles. Opt Quant Electron 51, 183 (2019). https://doi.org/10.1007/s11082-019-1903-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-019-1903-z