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Published Online: 26 October 2011
Accepted: August 2011

Phonons with orbital angular momentum

Physics of Plasmas 18, 102117 (2011); https://doi.org/10.1063/1.3655429
M. K. Ayub1,2, S. Ali2, and J. T. Mendonca3
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ABSTRACT
Ion accoustic waves or phonon modes are studied with orbital angular momentum (OAM) in an unmagnetized collissionless uniform plasma, whose constituents are the Boltzmann electrons and inertial ions. For this purpose, we have employed the fluid equations to obtain a paraxial equation in terms of ion density perturbations and discussed its Gaussian beam and Laguerre-Gauss (LG) beam solutions. Furthermore, an approximate solution for the electrostatic potential problem is presented, allowing to express the components of the electric field in terms of LG potential perturbations. The energy flux due to phonons is also calculated and the corresponding OAM is derived. Numerically, it is shown that the parameters such as azimuthal angle, radial and angular mode numbers, and beam waist, strongly modify the profiles of the phonon LG potential. The present results should be helpful in understanding the phonon mode excitations produced by Brillouin backscattering of laser beams in a uniform plasma.

REFERENCES
Section:
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  1. 1. J. D. Jakson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1962). Google Scholar
  2. 2. J. Schwinger, L. L. DeRaad, Jr., K. A. Milton, and W. Tsai, Classical Electrodynamics (Perseus Books Reading, Massachusetts, 1998). Google Scholar
  3. 3. C. S. Liu and V. K. Tripathi, Interaction of Electromagnetic Waves With Electron Beams and Plasmas (World Scientific Publishing Co. Pte. Ltd, Singapore, 1994). Google ScholarCrossref
  4. 4. R. A. Beth, Phys. Rev. 50, 115 (1936); Google ScholarCrossref
    A. H. S. Holbourn, Nature (London) 137, 31 (1936). , Google ScholarCrossref
  5. 5. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992); Google ScholarCrossref
    N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997). https://doi.org/10.1103/PhysRevA.45.8185 , , Google ScholarCrossref
  6. 6. G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, Opt. Commun. 127, 183 (1996). https://doi.org/10.1016/0030-4018(96)00070-3 , Google ScholarCrossref
  7. 7. M. Harris, C. A. Hill, P. R. Tapster, and J. M. Vaughan, Phys. Rev. A 49, 3119 (1994); Google ScholarCrossref
    J. Leach, M. J. Padgett, S. M. Barnett,S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002). https://doi.org/10.1103/PhysRevA.49.3119 , , Google ScholarCrossref
  8. 8. M. J. Padgett, J. Arlt, N. B. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996). https://doi.org/10.1119/1.18283 , Google ScholarCrossref, ISI
  9. 9. J. M. Vaughan and D. V. Willetts, Opt. Commun. 30, 263 (1979). https://doi.org/10.1016/0030-4018(79)90350-X , Google ScholarCrossref
  10. 10. M. E. J. Friese, T. A. Nienimen, N. R. Heckenberg, and H. R. Dunlop, Opt. Lett. 23, 1 (1998). https://doi.org/10.1364/OL.23.000001 , Google ScholarCrossref
  11. 11. S. J. Van Enk and G. Nienhuis, Opt. Commun. 94, 147 (1992). https://doi.org/10.1016/0030-4018(92)90424-P , Google ScholarCrossref
  12. 12. S. C. Tiwari, J. Mod. Opt. 56, 445 (2009). https://doi.org/10.1080/09500340802471835 , Google ScholarCrossref
  13. 13. F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 19, 439 (1998). https://doi.org/10.1088/0143-0807/19/5/005 , Google ScholarCrossref
  14. 14. K. V. Sepulveda, V. G. Chavez, S. C. Cerda, J. Arlt, and K. Dholakia, J. Opt. B: Quantum Semiclass. Opt. 4, S82 (2002). https://doi.org/10.1088/1464-4266/4/2/373 , Google ScholarCrossref
  15. 15. S. M. Mohammadi, L. K. S. Daldorff, J. E. S. Bergman, R. L. Karlsson, B. Thide, K. Forozesh. T. D. Carozzi, and B. Isham, IEEE Trans. Antennas Propag. 58, 565 (2010). https://doi.org/10.1109/TAP.2009.2037701 , Google ScholarCrossref
  16. 16. J. T. Mendonca, B. Thide, and H. Then, Phys. Rev. Lett. 102, 185005 (2009). https://doi.org/10.1103/PhysRevLett.102.185005 , Google ScholarCrossref
  17. 17. P. Z. Dashti, F. Alhassen, and H. P. Lee, Phys. Rev. Lett. 96, 043604 (2006). https://doi.org/10.1103/PhysRevLett.96.043604 , Google ScholarCrossref
  18. 18. L. Norin, T. B. Leyser, E. Nordblad, B. Thide, and M. McCarrick, Phys. Rev. Lett. 102, 065003 (2009). https://doi.org/10.1103/PhysRevLett.102.065003 , Google ScholarCrossref
  19. 19. J. T. Mendonca, S. Ali, and B. Thide, Phys. Plasmas. 16, 112103 (2009). https://doi.org/10.1063/1.3261802 , Google ScholarScitation
  20. 20. S. Ali, J. R. Davies, and J. T. Mendonca, Phys. Rev. Lett. 105, 035001 (2010). https://doi.org/10.1103/PhysRevLett.105.035001 , Google ScholarCrossref
  21. 21. T. Erdogan, J. Lightwave Technol. 15, 1277 (1997). https://doi.org/10.1109/50.618322 , Google ScholarCrossref
  22. 22. K. D. Skeldon, C. Wilson, M. Edgar, and M. J. Padgett, New J. Phys. 10, 013018 (2008). https://doi.org/10.1088/1367-2630/10/1/013018 , Google ScholarCrossref
  23. 23. J. L. Thomas and R. Marchiano, Phys. Rev. Lett. 91, 244302 (2003). https://doi.org/10.1103/PhysRevLett.91.244302 , Google ScholarCrossref
  24. 24. T. H. Stix, Waves in Plasmas (American Institute of Physics, New York, 1992). Google Scholar
  25. 25. M. Bandyopadhyay, A. Tanga, P. McNeely, and V. Yaroshenko, Plasma Phys. 44, 624 (2004). https://doi.org/10.1002/ctpp.v44:7/8 , Google ScholarCrossref
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