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Vector electromagnetic X waves

Alessandro Ciattoni*

Claudio Conti

Paolo Di Porto

  • Istituto Nazionale per la Fisica della Materia, UdR Università dell’Aquila, 67010 L’Aquila, Italy
  • Dipartimento di Fisica, Università dell’Aquila, 67010 L’Aquila, Italy

  • Istituto Nazionale per la Fisica della Materia, UdR “Roma Tre,” Via della Vasca Navale 84, 00147 Roma, Italy

  • Dipartimento di Fisica, Università dell’Aquila, 67010 L’Aquila, Italy
  • Istituto Nazionale per la Fisica della Materia, UdR “La Sapienza,” 00185 Roma, Italy

  • *Electronic address: alessandro.ciattoni@aquila.infn.it
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Phys. Rev. E 69, 036608 – Published 30 March, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.036608

Abstract

A vector propagation scheme for describing electromagnetic nondiffracting beams (X waves) is introduced. In particular we show that, from the knowledge of the transverse field components on a given transverse plane and at a fixed instant, it is possible to predict the whole electric field everywhere which in particular allows us to investigate the imaging properties of nondiffracting beam. Furthermore, we show that the longitudinal field component crucially depends on the pulse velocity and that it can be neglected only if the velocity is slightly greater than c. The proposed formalism is tested by means of two examples, the vector fundamental and Gaussian X waves which admit analytical treatment. As an application of the propagation scheme, we derive in closed form the expressions for the field propagator showing that its transverse component formally coincides with one of the scalar fundamental X wave.

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References (20)

  1. J. Durnin, J.J. Miceli, and H.H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
  2. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  3. J. Lu and J.F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 37, 438 (1990).
  4. J. Lu and J.F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
  5. J. Lu, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 181 (1997).
  6. J. Salo, J. Fagerholm, A.T. Friberg, and M.M. Salomaa, Phys. Rev. Lett. 83, 1171 (1999).
  7. E. Recami, Physica A 252, 586 (1998).
  8. P. Saari, http://xxx.lanl.gov/abs/physics/0103054.
  9. P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
  10. I. Alexeev, K.Y. Kim, and H.M. Michberg, Phys. Rev. Lett. 88, 073901 (2002).
  11. D. Mugnai, A. Ranfagni, and R. Ruggeri, Phys. Rev. Lett. 84, 4830 (2000).
  12. J. Lu, H. Zou, and J.F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 850 (1995).
  13. J. Fagerholm, A.T. Friberg, J. Huttunen, D.P. Morgan, and M.M. Salomaa, Phys. Rev. E 54, 4347 (1996).
  14. P.R. Stephanishen and J. Sun, J. Acoust. Soc. Am. 102, 3308 (1997).
  15. J.F.J. Salo, A.T. Friberg, and M.M. Salomaa, Phys. Rev. E 62, 4261 (2000).
  16. P. Saari and H. Sonajalg, Laser Phys. 7, 32 (1997).
  17. M. Zamboni-Rached, E. Recami, and H.E. Hernandez-Figueroa, Eur. Phys. J. D 21, 217 (2002).
  18. A. Ciattoni, C. Conti, and P.D. Porto, J. Opt. Soc. Am. A 21, 451 (2004).
  19. A. Ciattoni, B. Crosignani, and P.D. Porto, Opt. Commun. 177, 9 (2000).
  20. A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon and Breach Science, New York, 1986).

Outline

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Phys. Rev. E 69, 036608– Published 30 March, 2004
  • Received 6 October 2003

© 2004 American Physical Society

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