6 research outputs found
Superluminal Localized Solutions to Maxwell Equations propagating along a waveguide: The finite-energy case
In a previous paper of ours [Phys. Rev. E64 (2001) 066603, e-print
physics/0001039] we have shown localized (non-evanescent) solutions to Maxwell
equations to exist, which propagate without distortion with Superluminal speed
along normal-sized waveguides, and consist in trains of "X-shaped" beams. Those
solutions possessed therefore infinite energy. In this note we show how to
obtain, by contrast, finite-energy solutions, with the same localization and
Superluminality properties. [PACS nos.: 41.20.Jb; 03.50.De; 03.30.+p; 84.40.Az;
42.82.Et. Keywords: Wave-guides; Localized solutions to Maxwell equations;
Superluminal waves; Bessel beams; Limited-dispersion beams; Finite-energy
waves; Electromagnetic wavelets; X-shaped waves; Evanescent waves;
Electromagnetism; Microwaves; Optics; Special relativity; Localized acoustic
waves; Seismic waves; Mechanical waves; Elastic waves; Guided gravitational
waves.]Comment: plain LaTeX file (12 pages), plus 10 figure
Cherenkov Radiation Versus X-shaped Localized Waves: Reply
Our aim in this paper is a reply to Seshadri's comments [J. Opt. Soc. Am. A 29, 2532 (2012)] on a previous article of ours, titled "Cherenkov radiation versus X-shaped localized waves" [J. Opt. Soc. Am. A 27, 928 (2010)], as well as to his more extended criticism of the extended special relativity theory, called by him nonrestricted relativity, and in particular of the extended Maxwell equations. © 2012 Optical Society of America.291225362541Seshadri, S.R., Cherenkov radiation versus X-shaped localized waves: Comment (2012) J. Opt. Soc. Am. A, 29, pp. 2532-2535Zamboni-Rached, M., Recami, E., Besieris, I.M., Cherenkov radiation versus X-shaped localized waves (2010) J. Opt. Soc. Am. A, 27, pp. 928-934Walker, S.C., Kuperman, W.A., Cherenkov-Vavilov formulation of X waves (2007) Phys. Rev. Lett., 99, p. 244802Hernández-Figueroa, H.E., Zamboni-Rached, M., Recami, E., (2008) Localized Waves, Theory and Applications, , WileyLu, J.-Y., Greenleaf, J.F., Experimental verification of nondiffracting X-waves (1992) IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 39, pp. 441-446Saari, P., Reivelt, K., Evidence of X-shaped propagation invariant localized light waves (1997) Phys. Rev. Lett., 79, pp. 4135-4138Recami, E., Zamboni-Rached, M., Dartora, C.A., Localized X-shaped field generated by a superluminal charge (2004) Phys. Rev. e, 69, p. 027602. , and references thereinRecami, E., Zamboni-Rached, M., Localized waves: A review (2009) Adv. Imaging Electron Phys., 156, pp. 235-355Sommerfeld, A., Überlichtgeschwindigkeitsteilchen (1904) Proc. K. Ned. Akad. Wet., 8, pp. 346-367Sommerfeld, A., Zur electronentheorie (3 Tiele) (1905) Nach. Kgl. Ges. Wiss. Göttingen, Math. Naturwiss. Klasse 99-130, pp. 363-439. , 1904, 201-236Fröman, P.O., Historical background of the tachyon concept (1994) Arch. Hist. Exact Sci., 48, pp. 373-380Bilaniuk, O.-M., Deshpande, V.K., Sudarshan, E.C.G., Meta' relativity (1962) Am. J. Phys., 30, pp. 718-723Bilaniuk, O.-M., Sudarshan, E.C.G., Particles beyond the light barrier (1969) Phys. Today, 22, pp. 331-339Recami, E., Classical theory of tachyons (1986) Riv. Nuovo Cimento, 9 (6), pp. 1-178Mignani, R., Recami, E., Crossing relations derived from (extended) relativity (1975) Int. J. Theor. Phys., 12, pp. 299-320Pavšič, M., Recami, E., Charge conjugation and internal space-time symmetries (1982) Lett. Nuovo Cimento, 34, pp. 357-362Recami, E., Tachyon mechanics and causality: A systematic thorough analysis of the tachyon causal paradoxes (1987) Found. Phys., 17, pp. 239-296Barut, A.O., MacCarrone, G.D., Recami, E., On the shape of tachyons (1982) Nuovo Cimento A, 71, pp. 509-533Mignani, R., Recami, E., Tachyons do not emit Cherenkov radiation in vacuum (1973) Lett. Nuovo Cimento, 7, pp. 388-390Utkin, A.B., Droplet-shaped waves: Causal finite-support analogs of X-shaped waves (2012) J. Opt. Soc. Am. A, 29, pp. 457-462Morse, P.M., (1985) Theoretical Acoustics, , Princeton UniversityArias, E., Bessa, C.H.G., Svaiter, N.F., An analog fluid model for some tachyonic effects in Field Theory (2011) Mod. Phys. Lett. A 26, pp. 2335-2344. , and references thereinRecami, E., The Tolman antitelephone paradox: Its solution by tachyon mechanics 1985, reprinted in Electron (2009) J. Theor. Phys. (EJTP), 6, pp. 1-8Recami, E., Superluminal motions? A bird's-eye view of the experimental status-of-The-Art (2001) Found. Phys., 31, pp. 1119-1135Recami, E., Superluminal Waves and Objects: An Up-dated Overview of the Relevant Experiments, , arXiv :0804.1502 [physics]Recami, E., Rodrigues, W.A., A model theory for tachyons in two dimensions (1985) Gravitational Radiation and Relativity, 3, pp. 151-203. , J. Weber and T. M. Karade, eds., of Proceedings of the Sir Arthur Eddington Centenary Symposium World ScientificBarut, A.O., Chandola, H.C., Localized' tachyonic wavelet solutions to the wave equation (1993) Phys. Lett. A, 180, pp. 5-8Recami, E., Mignani, R., Magnetic monopoles and tachyons in special relativity (1976) Phys. Lett. B, 62, pp. 41-4