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Relativistic and ponderomotive effects on evolution of dark hollow Gaussian electromagnetic beams in a plasma

Published online by Cambridge University Press:  14 October 2010

T.S. Gill ,
R. Mahajan  and
R. Kaur
T.S. Gill*
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar, India
R. Mahajan
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar, India
R. Kaur
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar, India
*
Address correspondence and reprint requests to: Tarsem Singh Gill, Department of Physics, Guru Nanak Dev University, Amritsar-143005, India. E-mail: gillsema@yahoo.co.in
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Abstract

Nonlinear parabolic partial differential equation governing the evolution of complex envelope in slowly varying envelope approximation is solved using variational approach. The basic nonlinear phenomena of relativistic and ponderomotive self-focusing in a plasma are taken into account. Self-focusing, self-phase modulation as well as self-trapping of dark hollow Gaussian beam is studied for higher orders of hollow Gaussian beam (n).

Keywords

Hollow Gaussian beamSelf-focusing and self-trappingSelf-phase modulationRelativistic and ponderomotive
Type
Research Article
Information
Laser and Particle Beams , Volume 28 , Issue 4 , December 2010 , pp. 521 - 529
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Abramyan, L.A., Litvak, A.G., Mironov, V.A. & Sergeev, A.M. (1992). Self-focusing and relativistic waveguiding of an ultrashort laser pulse in a plasma. Sov. Phys. JETP 75, 978.Google Scholar
Akhmanov, S.A., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Sov. Phys. Usp. 10, 609–636.CrossRefGoogle Scholar
Anderson, D. (1978). Stationary self-trapped laser beams in plasma. Physica Scripta 18, 35–36.CrossRefGoogle Scholar
Anderson, D. & Bonnedal, M. (1979). Variational approach to nonlinear self-focusing of Gaussian laser beams. Phys. Fluids 22, 105–109.CrossRefGoogle Scholar
Arlt, J. & Dholakia, K. (2000). Generation of high order Bessel beams by use of an axicon. Opt. Commun. 177, 297–301.CrossRefGoogle Scholar
Benware, B.R., Macchietto, C.D., Moreno, C.H. & Rocca, J.J. (1998). Demonstration of a high average power tabletop soft X-ray laser. Phys. Rev. Lett. 81, 5804–5807.CrossRefGoogle Scholar
Borghesi, M., Kar, S., Romagnani, L., Toncian, T., Antici, P., Audebert, P., Brambrink, E., Ceccherini, F., Cecchetti, C.A., Fuchs, J., Galimberti, M., Gizzi, L.A., Grismayer, T., Lyseikina, T., Jung, R., Macchi, A., Mora, P., Osterholtz, J., Schiavi, A. & Willi, O. (2007). Impulsive electric fields driven by high-intensity laser matter interactions. Laser Part. Beams 25, 161–167.CrossRefGoogle Scholar
Borisov, A.B., Longworth, J.W., Boyer, K. & Rhodes, C.K. (1998). Stable relativistic/charge-displacement channels in ultrahigh power density (1021 W/cm3) plasmas. Proc. Natl. Acad. Sci. USA 95, 7854–7859.CrossRefGoogle ScholarPubMed
Cai, Y. & Lin, Q. (2004). Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems. J. Opt. Soc. Am. A 21, 1058–1065.CrossRefGoogle ScholarPubMed
Cai, Y., Lu, X. & Lin, Q. (2003). Hollow Gaussian beam and their propagation properties. Opt. Lett. 28, 1084–1086.CrossRefGoogle ScholarPubMed
Chen, S.Y., Sarkisov, G.S., Maksimchuk, A., Wagner, R. & Umstadter, D. (1998). Evolution of a plasma waveguide created during relativistic-ponderomotive self-channeling of an intense laser pulse. Phys. Rev. Lett. 80, 2610–2613.CrossRefGoogle Scholar
Chessa, P., Mora, P. & Antonsen, T.M. (1998). Numerical simulation of short laser pulse relativistic self-focusing in underdense plasma. Phys. Plasma 5, 3451–3458.CrossRefGoogle Scholar
Chiao, R.Y., Garmire, E. & Townes, C.H. (1964). Self-trapping of optical beams. Phys. Rev. Lett. 13, 479–482.CrossRefGoogle Scholar
Cornolti, F., Lucchesi, M. & Zambon, B. (1990). Elliptic Gaussian beam self-focusing in nonlinear media. Opt. Commun. 75, 129–135.CrossRefGoogle Scholar
Deng, D., Fu, X., Wei, C., Shao, J. & Fan, Z. (2005). Far field intensity distribution and M 2 factor of hollow Gaussian beams. Appl. Opt. 44, 7187–7190.CrossRefGoogle ScholarPubMed
Esarey, E., Sprangle, P., Krall, J. & Ting, A. (1997). Self-focusing and guiding of short laser pulses in ionizing gases and plasmas. IEEE J. Quantum Electron 33, 1879–1914.CrossRefGoogle Scholar
Faenov, A.Y., Magunov, A.I., Pikuz, T.A., Skobelev, I.Y., Gasilov, S.V., Stagira, S., Calegari, F., Nisoli, M., De Silvestri, S., Poletto, L., Villoresi, P. & Andreev, A.A. (2007). X-ray spectroscopy observation of fast ions generation in plasma produced by short low-contrast laser pulse irradiation of solid targets. Laser Part. Beams 25, 267–275.CrossRefGoogle Scholar
Fedotov, A.B., Naumov, A.N., Silin, V.P., Uryupin, S.A., Zheltikov, A.M., Tarasevitch, A.P. & Von der Linde, D. (2000). Third-harmonic generation in a laser-pre-excited gas: the role of excited-state neutrals. Phys. Lett. A 271, 407–412.CrossRefGoogle Scholar
Fibich, G. (2007). Some Modern Aspects of Self-Focusing Theory, A Chapter in Self-Focusing: Past and Present (Boyd, R.W., Lukishova, S.G. & Shen, Y.R. eds.). New York: Springer Verlag.Google Scholar
Firth, W.J. (1977). Propagation of laser beams through inhomogeneous media. Opt. Commun. 22, 226–230.CrossRefGoogle Scholar
Foldes, I.B., Bakos, J.S., Bakonyi, Z., Nagy, T. & Szatmari, S. (1999). Harmonic generation in plasmas of different density gradients. Phys. Lett. A 258, 312–316.CrossRefGoogle Scholar
Gill, T.S., Mahajan, R. & Kaur, R. (2010). Relativistic and ponderomotive effects on evolution of laser beam in a non-uniform plasma channel. Laser Part. Beams 28, 11–20.CrossRefGoogle Scholar
Gill, T.S. & Saini, N.S. (2007). Nonlinear interaction of a rippled laser beam with an electrostatic upper hybrid wave in collisional plasma. Laser Part. Beams 25, 283–293.CrossRefGoogle Scholar
Gondarenko, N.A., Ossakow, S.L. & Milikh, G.M. (2005). Generation and evolution of density irregularities due to self-focusing in ionospheric modifications. J. Geophys. Res. 110, A093041–13.Google Scholar
Grow, T.D., Ishaaya, A.A., Vuong, L.T., Gaeta, A.L., Gavish, N. & Fibich, G. (2006). Collapse dynamics of super-Gaussian beams. Opt. Express 14, 5468–5475.CrossRefGoogle ScholarPubMed
Guzdar, P.N., Chaturvedi, P.K., Papadopoulos, K. & Ossakow, S.L. (1998). The thermal self-focusing instability near the critical surface in the high- latitude ionosphere. J. Geophys. Res. 103, 2231–2237.CrossRefGoogle Scholar
Hoffmann, D.H.H., Blazevic, A., Ni, P., Rosmej, O., Roth, M., Tahir, N., Tauschwitz, A., Udrea, S., Varentsov, D., Weyrich, K. & Maron, Y. (2005). Present and future perspective for high energy density physics with intense heavy ions and laser beams. Laser Part. Beams 23, 395–395.CrossRefGoogle Scholar
Hora, H. (1975). Theory of relativistic self focusing of laser radiations in plasmas. J. Opt. Soc. Am. 65, 882–886.CrossRefGoogle Scholar
Johannisson, P., Anderson, D., Lisak, M. & Marklund, M. (2003). Nonlinear Bessel beams. Opt. Commun. 222, 107–115.CrossRefGoogle Scholar
Karlsson, M., Anderson, D., Desaix, M. & Lisak, M. (1991). Dynamic effects of Kerr nonlinearity and spatial diffraction on self-phase modulation of optical pulses. Opt. Lett. 16, 1373–1375.CrossRefGoogle ScholarPubMed
Karlsson, M. (1992). Optical beams in saturable self-focusing media. Phys. Rev. A 46, 2726–2734.CrossRefGoogle ScholarPubMed
Kasperczuk, A., Pisarczyk, T., Kalal, M., Martinkova, M., Ullschmied, J., Krousky, E., Masek, K., Pfeifer, M., Rohlena, K., Skala, J. & Pisarczyk, P. (2008). PALS laser energy transfer into solid targets and its dependence on the lens focal point position with respect to the target surface. Laser Part. Beams 26, 189–196.CrossRefGoogle Scholar
Kaur, R., Gill, T.S. & Mahajan, R. (2010). Steady state self-focusing, self-phase modulation of laser beam in an inhomogeneous plasma. Optik (In Press).Google Scholar
Kelley, P.L. (1965). Self-focusing of laser beams and stimulated Raman gain in liquids. Phys. Rev. Lett. 15, 1010–1012.Google Scholar
Konar, S. & Manoj, M. (2005). Effect of higher order nonlinearities on induced focusing and on the conversion of circular Gaussian laser beams into elliptic Gaussian laser beam. J. Opt. A: Pure Appl. Opt. 7, 576.CrossRefGoogle Scholar
Krushelnick, K., Ting, A., Moore, C.I., Burris, H.R., Esarey, E., Sprangle, P. & Baine, M. (1997). Plasma channel formation and guiding during high intensity short pulse laser plasma experiments. Phys. Rev. Lett. 78, 4047–4050.CrossRefGoogle Scholar
Kuehl, Th., Ursescu, D., Bagnoud, V., Javorkova, D., Rosmej, O., Cassou, K., Kazamias, S., Klisnick, A., Ros, D., Nickles, P., Zielbauer, B., Dunn, J., Neumayer, P., Pert, G. & The Phelix Team. (2007). Optimization of non thermal incidence, transient pumped plasma X-ray laser for laser spectroscopy and plasma diagnostics at the facility for antiproton and ion research (FAIR). Laser Part. Beams 25, 93–97.CrossRefGoogle Scholar
Kumar, A., Gupta, M.K. & Sharma, R.P. (2006). Effect of ultraintense laser pulse on the propagation of electron plasma wave in relativistic and ponderomotive regime and particle acceleration. Laser Part. Beams 24, 403–409.CrossRefGoogle Scholar
Kurki-Suonio, T., Morrison, P.J. & Tajima, T. (1989). Self-focusing of an optical beam in a plasma. Phys. Rev. A 40, 3230–3239.CrossRefGoogle ScholarPubMed
Lam, J.F., Lippmann, B. & Tappert, F. (1977). Self-trapped laser beams in plasma. Phys. Fluids 20, 1176–1179.CrossRefGoogle Scholar
Laska, L., Badziak, J., Boody, F.P., Gammino, S., Jungwirth, K., Krasa, J., Krousky, E., Parys, P., Pfeifer, M., Rohlena, K., Ryc, L., Skala, J., Torrisi, L., Ullschmied, J. & Wolowski, J. (2007). Factor influencing parameters of laser ion sources. Laser Part. Beams 25, 199–205.CrossRefGoogle Scholar
Mei, Z. & Zhao, D. (2005). Controllable dark hollow beams and their propagation characteristics. J. Opt. Soc. Am. A 22, 1898–1902.CrossRefGoogle ScholarPubMed
Milchberg, H.M., Durfee, C.G. III. & Mcllrath, T.J. (1995). Highorder frequency conversion in the plasma waveguide. Phys. Rev. Lett. 75, 2494–2497.CrossRefGoogle ScholarPubMed
Misra, S. & Mishra, S.K. (2009). Focusing of dark hollow Gaussian electromagnetic beams in a plasma with relativistic-ponderomotive regime. Progress in electromagnetic research 16, 291–309.CrossRefGoogle Scholar
Monot, P., Auguste, T., Gibbon, P., Jakober, F., Mainfray, G., Dulieu, A., Louis-Jacquet, M., Malka, G. & Miquel, J.L. (1995). Experimental demonstration of relativistic self-channeling of a multiterawatt laser pulse in an underdense plasma. Phys. Rev. Lett. 74, 2953–2956.CrossRefGoogle Scholar
Niknam, A.R., Hashemzadeh, M. & Shokri, B. (2009). Weakly relativistic and ponderomotive effects on the density steepening in the interaction of an intense laser pulse with an underdense plasma. Phys. Plasmas 16, 033105/1–5.CrossRefGoogle Scholar
Perkins, F.W. & Goldman, M.V. (1981). Self-focusing of radio waves in an underdense ionosphere. J. Geophys. Res. 86, 600–608.CrossRefGoogle Scholar
Regan, S.P., Bradley, D.K., Chirokikh, A.V., Craxton, R.S., Meyerhofer, D.D., Seka, W., Short, R.W., Simon, A., Town, R.P.J. & Yaakobi, B. (1999). Laser-plasma interactions in long-scale-length plasmas under direct-drive National Ignition Facility conditions. Phys. Plasmas 6, 2072–2080.CrossRefGoogle Scholar
Saini, N.S. & Gill, T.S. (2006). Self-focusing and self-phase modulation of an elliptic Gaussian laser beam in collisionless magnetoplasma. Laser Part. Beams 24, 447–453.CrossRefGoogle Scholar
Sarkisov, G.S., Bychenkov, V.Yu., 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, 7042–7054.CrossRefGoogle ScholarPubMed
Schaumann, G., Schollmeier, M.S., Rodriguez-Prieto, G., Blazevic, A., Brambrink, E., Geissel, M., Korostiy, S., Pirzadeh, P., Roth, M., Rosmej, F.B., Faenov, A.Y., Pikuz, T.A., Tsigutkin, K., Maron, Y., Tahir, N.A. & Hoffmann, D.H.H. (2005). High energy heavy ion jets emerging from laser plasma generated by long pulse laser beams from the NHELIX laser system at GSI. Laser Part. Beams 23, 503–512.CrossRefGoogle Scholar
Sharma, A., Verma, M.P. & Sodha, M.S. (2004). Self-focusing of electromagnetic beams in a collisional plasmas with nonlinear absorption. Phys. Plasmas 11, 4275–4279.CrossRefGoogle Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1974). Self-focusing of laser beams in dielectric plasma and semi conductors. New York: Tata McGra-Hill.Google Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976). Self-focusing of laser beams in plasmas and semiconductors. Prog. optics 13, 171–265.Google Scholar
Sodha, M.S., Mishra, S.K. & Misra, S. (2009a). Focusing of dark hollow Gaussian electromagnetic beams in a plasma. Laser Part. Beams 27, 57–68.CrossRefGoogle Scholar
Sodha, M.S., Mishra, S.K. & Misra, S. (2009b). Focusing of dark hollow Gaussian electromagnetic beam in a magnetoplasma. J. Plasma Phys. 75, 731–748.CrossRefGoogle Scholar
Sprangle, P., Hafizi, B. & Penano, J.R. (2000). Laser pulse modulation instabilities in plasma channels. Phys. Rev. E 61, 4381–4393.CrossRefGoogle ScholarPubMed
Stoehlker, T., Backe, H., Beyer, H., Bosch, F., Braeuning-Demian, A., Hagman, S., Ionescu, D., Jungmann, K., Kluge, H.-J., Kozhuharov, C., Kuehl, Th., Lisen, D., Mann, R., Mokler, P. & Quint, W. (2003). Status and perspectives of atomic physics research at GSI: The new GSI accelerator project. Nucl. Instr. Meth. B 205, 156.CrossRefGoogle Scholar
Strangio, C., Caruso, A., Neely, D., Andreoli, P.L., Anzalone, R., Clarke, R., Cristofari, G., DelPrete, E., Di Giorgio, G., Murphy, C., Ricci, C., Stevens, R. & Tolley, M. (2007). Production of multi-Mev per nucleon ions in the controlled amount of matter mode (CAM) by using casually isolated targets. Laser Part. Beams 25, 85–91.CrossRefGoogle Scholar
Subbarao, D., Uma, R. & Singh, H. (1998). Paraxial theory of self-focusing of cylindrical laser beams. I. ABCD laws. Phys. Plasmas 5, 3440–3450.CrossRefGoogle Scholar
Suckewer, S. & Skinner, C.H. (1990). Soft X-ray lasers and their applications. Science 247, 1553–1557.CrossRefGoogle ScholarPubMed
Suckewer, S. & Skinner, C.H. (1995). Comments At. Mol. Phys. 30, 331.Google Scholar
Tabak, M., Hammer, J., Glinsky, M.E., Kruer, W.L., Wilks, S.C., Woodworth, J., Campbell, E.M., Perry, M.D. & Mason, R.J. (1994). Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 1626–1634.CrossRefGoogle Scholar
Torrisi, L., Margarone, D., Laska, L., Krasa, J., Velyhan, A., Pfeifer, M., Ullschmied, J. & Ryc, L. (2008). Self-focusing effects in Au-target induced by high power pulsed laser at PALS. Laser Part. Beams 26, 379–387.CrossRefGoogle Scholar
Tzeng, K.C. & Mori, W.B. (1998). Suppression of electron ponderomotive blowout and relativistic self-focusing by the occurence of Raman scattering and plasma heating. Phys. Rev. Lett. 81, 104–107.CrossRefGoogle Scholar
Wagner, R., Chen, S.Y., Maksimuchuk, A. & Umstadter, D. (1997). Electron acceleration by a laser wakefield in a relativistically self-guided channel. Phys. Rev. Lett. 78, 3125–3128.CrossRefGoogle Scholar
Yin, J., Gao, W. & Zhu, Y. (2003). Propagation of various dark hollow beams in a turbulent atmosphere. Prog. Opt. 44, 119–204.CrossRefGoogle Scholar
York, A.G., Milchberg, H.M., Palastro, J.P. & Antonsen, T.M. (2008). Direct acceleration of electrons in a corrugated plasma waveguide. Phys. Rev. Lett. 100, 195001–7.CrossRefGoogle Scholar
Yu, W., Yu, M.Y., Xu, H., Tian, Y.W., Chen, J. & Wong, A.Y. (2007). Intense local plasma heating by stopping of ultrashort ultraintense laser pulse in dense plasma. Laser Part. Beams 25, 631–638.CrossRefGoogle Scholar
Zhang, L., Lu, X., Chen, X. & He, S. (2004). Generation of a dark hollow beam inside a cavity. Chin. Phys. Lett. 21, 298–301.Google Scholar