Ultra-fast multiple tunnelling of electromagnetic X-waves

Journal of Physics A: Mathematical and General

Volumn 33, Issue 47, 2000, Pages 8559-8576

  Shaarawi, Amr M ^a,c   Besieris, Ioannis M ^b  

^a The American University in Cairo   (Egypt)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^c CAIRO UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034365767     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/47/316     Document Type: Article

References (39)

1. Ghatak A and Banerjee S 1989 Temporal delay of a pulse undergoing frustrated total internal reflection Appl. Opt. 28 161-2
2. Balcou Ph and Dutraix L 1997 Dual optical tunneling times in frustrated total internal reflection Phys Rev. Lett. 78851-4
3. Carey J J, Zawadzka J, Jaroszynski D J and Wynne K 2000 Noncausal time response in frustrated total internal reflection? Phys. Rev. Lett. 84 1431-4
4. Shaarawi A M and Besieris I M 2000 Superluminal tunneling of an electromagnetic X-wave through a planar slab Phys. Rev. E at press
5. Hauge E H and Støvneng J A 1989 Tunneling times: a critical review Rev. Mod. Phys. 61 917-36
6. Martin Th and Landauer R 1992 Time delay of evanescent electromagnetic waves and the analogy to particle tunneling Phys. Rev. A 45 2611-7
7. Olkhovsky V S and Recami E 1992 Recent developments in the time analysis of tunneling processes Phys Rep 214 339-56
8. Nimtz G, Enders A and Spieker H 1994 Photonic tunneling times J. Physique I 4 1-10
9. Enders A and Nimtz G 1992 On superluminal barrier traversal J. Physique I 2 1693-8
10. Enders A and Nimtz G 1993 Evanescent-mode propagation and quantum tunneling Phys. Rev. E 48 632-5
11. Enders A and Nimtz G 1993 Zero-time tunneling of evanescent mode packets J. Physique 3 1089-92
12. Emig T 1996 Propagation of an electromagnetic pulse through waveguide with barrier: a time domain solution within classical electrodynamics Phys. Rev. E 54 5780-7
13. Dahmen H D, Gjonaj E and Stroh T 1998 Quantite motion of electromagnetic waves in wave guides of varying cross section and dispersive media Ann. Phys., Lpz. 7 645-53
14. Mugnai D, Ranfagni A, Ruggeri R, Agresti A and Recami E 1995 Superluminal processes and signal velocity in tunneling simulation Phys. Lett. A 209 227-34
15. Jakiel J, Olkhovsky V S and Recami E 1998 On superluminal motions in photon and particle tunnellings Phys. Lett. A 248 156-60
16. Steinberg A M, Kwiat P G and Chiao R Y 1993 Measurement of the single-photon tunneling time Phys. Rev. Lett. 71 708-11
17. Laude V and Tournois P 1999 Superluminal asymptotic tunneling times through one-dimensional photonic bandgaps in quarter-wave-stack dielectric mirrors J. Opt. Soc. Am. B 16 194-8
18. Martin Th and Landauer R 1992 Time delay of evanescent electromagnetic waves and the analogy to particle tunneling Phys. Rev. A 45 2611-7
19. Olkhovsky V S, Recami E, Raciti F and Zaichenko A K 1995 More about tunneling times, the dwell time and the Hartman effect J. Physique 5 1351-65
20. Ranfagni A, Mugnai D and Agresti A 1991 The role of the forerunner in the tunneling time determination Phys. Lett. A 158 161-6
21. Hartman T E 1962 Tunneling of a wave packet J. Appl. Phys. 33 3427-33
22. Barbero APL, Hernández-Figueroa H E and Recami E 2000 On the propagation speed of evanescent modes Phys. Rev. E at press (Barbero APL, Hernández-Figueroa H E and Recami E 1998 Preprint ph/9811001)
23. Barbero APL, Hernández-Figueroa H E and Recami E 2000 On the propagation speed of evanescent modes Phys. Rev. E at press (Barbero APL, Hernández-Figueroa H E and Recami E 1998 Preprint ph/9811001)
24. Olkhovsky V S, Recami E and Salesi G Tunneling through two successive barriers and the Hartman (superluminal) effect Preprint
25. Lu J Y and Greenleaf J F 1992 Nondiffracting X waves - exact solutions to free space scalar wave equation and their finite aperture realization IEEE Trans. Ultrasonic Ferroelec. Frequency Control 39 19-31
26. Saari P and Reivelt K 1997 Evidence of X-shaped propagation-invariant localized light waves Phys. Rev. Lett. 21 4135-8
27. Besieris I M, Abdel-Rahman M, Shaarawi A and Chatzipetros A 1998 Two fundamental representations of localized pulse solutions of the scalar wave equation Progr. Electromagn. Res. (PIER) 19 1-48
28. Recami E 1998 On the localized X-shaped superluminal solutions to Maxwell's equations Physica A 252 586-610
29. Fagerholm J, Friberg A T, Huttunen J, Morgan D P and Salomaa M M 1996 Angular-spectrum representation of nondiffracting X waves Phys. Rev. E 54 4347-52
30. Stratton J A 1941 Electromagnetic Theory (New York: McGraw-Hill)
31. Gradshteyn I S and Ryzhik I M 1965 Tables of Integrals, Series and Products (New York: Academic)
32. Born M and Wolf E 1989 Principles of Optics (Oxford: Pergamon)
33. Brittingham J N 1983 Focus wave modes in homogeneous Maxwell equations: transverse electric mode J. Appl. Phys. 54 1179-89
34. Ziolkowski R W 1985 Exact solutions of the wave equation with complex source locations J. Math. Phys. 26 861-3
35. Hillion P 1998 Electromagnetic tunneling Bessel beams Opt. Commun. 153 199-201
36. Saari P and Sõnajalg H 1997 Pulsed Bessel beams Laser Phys. 7 32-9
37. Durnin J, Miceli J J Jr and Eberly J H 1987 Diffraction free beams Phys. Rev. Lett. 58 1499-501
38. Turnen J, Vasara A and Friberg A T 1988 Holographic generation of diffraction-free beams Appl. Opt. 27 3959-62
39. Horvath Z L, Erdelyi M, Szabo G, Bor Zs, Tittel F K and Cavallaro J R 1997 Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer J. Opt. Soc. Am. A 14 3009-13