Generation and classification of localized waves by Lorentz transformations in Fourier space

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 3 2, 2004, Pages

  Saari, Peeter ^a   Reivelt, Kaido ^a  

^a UNIVERSITY OF TARTU   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BANDWIDTH; DOPPLER EFFECT; ELECTROMAGNETIC WAVES; OPTICAL DEVICES; SCATTERING; WAVE EQUATIONS;

FOCUS WAVE MODES (FWM); LOCALIZED WAVES; LORENTZ TRANSFORMATIONS; OPTICAL DOMAIN;

WAVE PROPAGATION;

EID: 37649027299     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.036612     Document Type: Article

References (52)

1. J.N. Brittingham, J. Appl. Phys. 54, 1179 (1983).
2. A. Sezginer, J. Appl. Phys. 57, 678 (1984).
3. T.T. Wu and H. Lehmann, J. Appl. Phys. 58, 2064 (1985).
4. R.W. Ziolkowski, J. Math. Phys. 26, 861 (1985).
5. H.E. Moses and R.T. Prosser, IEEE Trans Antennas Propag. AP-34, 188 (1986).
6. P.A. Bélanger, J. Opt. Soc. Am. A 3, 541 (1986).
7. P. Hillion, J. Math. Phys. 28, 1743 (1987).
8. E. Heyman, IEEE Trans. Antennas Propag. AP-37, 1604 (1989).
9. P.L. Overfelt, Phys. Rev. A 44, 3941 (1991).
10. J. Lu and J.F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
11. R. Donnelly, and R. Ziolkowski, Proc. R. Soc. London, Ser. A 440, 541 (1993).
12. R.W. Ziolkowski, I.M. Besieris, and A.M. Shaarawi, J. Opt. Soc. Am. A 10, 75 (1993).
13. W.A. Rodriguez and J.Y. Lu, Found. Phys. 27, 435 (1997).
14. I. Besieris, M. Abdel-Rahman, A. Shaarawi, and A. Chatzipetros, Prog. Electromagn. Res. 19, 1 (1998).
15. J. Salo, J. Fagerholm, A.T. Friberg, and M.M. Salomaa, Phys. Rev. E 62, 4261 (2000).
16. P. Saari, in Time's Arrows, Quantum Measurement and Superluminal Behavior, Scientific Monographs: Phys. Sci. Series, edited by D. Mugnai et al. (CNR, Rome, Italy, 2001), p. 37.
17. E. Recami, M. Zamboni-Rached, K.Z. Nobrega, C.A. Dartora, and H.E. Hernández, IEEE J. Sel. Top. Quantum Electron. 9, 59 (2003).
18. P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
19. H. Sõnajalg, M. Rätsep, and P. Saari, Opt. Lett. 22, 310 (1997).
20. D. Mugnai, A. Ranfagni, and R. Ruggeri, Phys. Rev. Lett. 84, 4830 (2000).
21. I. Alexeev, K.Y. Kim, and H.M. Milchberg, Phys. Rev. Lett. 88, 073901 (2002).
22. R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E.T.J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, Phys. Rev. A 67, 063820 (2003).
23. K. Reivelt and P. Saari, Phys. Rev. E 66, 056611 (2002).
24. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
25. A.M. Attiya, E. El-Diwany, A.M. Shaarawi, and I.M. Besieris, Prog. Electromagn. Res. 30, 191 (2000).
26. A.M. Attiya, E. El-Diwany, A.M. Shaarawi, and I.M. Besieris, Prog. Electromagn. Res. 38, 167 (2002).
27. C. Conti and S. Trillo, Opt. Lett. 28, 1251 (2003).
28. S. Orlov, A. Piskarskas, and A. Stabinis, Opt. Lett. 27, 2103 (2002).
29. J. Durnin, J.J. Miceli, Jr., and J.H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
30. M. Zamboni-Rached, K.Z. Nobrega, E. Recami, and H.E. Hernández- Figueroa, Phys. Rev. E 66, 046617 (2002).
31. C.J.R. Sheppard, J. Opt. Soc. Am. A 18, 1579 (2001).
32. A.P. Kiselev and M.V. Perel, J. Math. Phys. 41, 1934 (2000).
33. S.M. Feng, H.G. Winful, and R.W. Hellwarth, Phys. Rev. E 59, 4630 (1999).
34. P. Saari, Opt. Express 8, 590 (2001).
35. R. Piestun and J. Shamir, J. Opt. Soc. Am. A 15, 3039 (1998).
36. Z. Bouchai and R. Horák, J. Mod. Opt. 48, 333 (2001).
37. K. Reivelt, Opt. Express 10, 360 (2002).
38. K. Reivelt and P. Saari, in Ultrafast Processes in Spectroscopy, Proceedings of the X International Symposium, edited by R. Kaarli, A. Freiberg, and P. Saari (Institute of Physics, Tartu, Estonia, 1998), p. 168.
39. K. Reivelt and P. Saari, J. Opt. Soc. Am. A 17, 1785 (2000).
40. K. Reivelt and P. Saari, J. Opt. Soc. Am. A 18, 2026 (2001).
41. K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002).
42. K. Reivelt and P. Saari, physics/0309079.
43. H. Sõnajalg and P. Saari, Opt. Lett. 21, 1162 (1996).
44. A.O. Barut, G.D. Maccarrone, and E. Recami, Nuovo Cimento A 71, 509 (1982).
45. A.O. Barut and A.C. Chandola, Phys. Lett. A 180, 5 (1993).
46. J. Lu, H. Zou, and J.F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 850 (1995).
47. H. Bateman and A. Erdély, Tables of Integral Transforms I (McGraw-Hill, New York, 1954).
48. V.V. Borisov and A.P. Kiselev, Appl. Math. Lett. 13, 83 (2000).
49. L. Mackinnon, Found. Phys. 8, 157 (1978).
50. J. Salo and M.M. Salomaa, Acoust. Res. Lett. Online 2, 31 (2001).
51. J. Lu, IEEE Trans. Ultranson. Ferroelectr. Freq. Control 42, 1050 (1995).
52. J. Salo, J. Fagerholm, A.T. Friberg, and M.M. Salomaa, Phys. Rev. Lett. 83, 1171 (1999).