Fundamental role of the retarded potential in the electrodynamics of superluminal sources

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 3, 2008, Pages 543-557

  Ardavan, Houshang ^a   Ardavan, Arzhang ^b   Singleton, John ^c   Fasel, Joseph ^d   Schmidt, Andrea ^d  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTRODYNAMICS; LIGHT EMISSION; LIGHT REFLECTION; WAVE EQUATIONS;

PULSAR EMISSION; RADIATION BEAM; RADIATION FIELD; SUPERLUMINAL SOURCES;

LUMINANCE;

EID: 44349146750     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.000543     Document Type: Article

References (29)

1. A. V. Bessarab, A. A. Gorbunov, S. P. Martynenko, and N. A. Prudkoy, "Faster-than-light EMP source initiated by short x-ray pulse of laser plasma," IEEE Trans. Plasma Sci. 32, 1400-1403 (2004).
2. A. Ardavan, W. Hayes, J. Singleton, H. Ardavan, J. Fopma, and D. Halliday, "Experimental observation of nonspherically-decaying radiation from a rotating superluminal source," J. Appl. Phys. 96, 7760-7777(E) (2004). Corrected version of 96, 4614-4631.
3. A. V. Bessarab, S. P. Martynenko, N. A. Prudkoi, A. V. Soldatov, and V. A. Terekhin, "Experimental study of electromagnetic radiation from a faster-than-light vacuum macroscopic source," Radiat. Phys. Chem. 75, 825-831 (2006).
4. B. M. Bolotovskii and A. V. Serov, "Radiation of superluminal sources in vacuum," Radiat. Phys. Chem. 75, 813-824 (2006).
5. B. M. Bolotovskii and V. L. Ginzburg, "The Vavilov-Čerenkov effect and the Doppler effect in the motion of sources with superluminal velocity in vacuum," Sov. Phys. Usp. 15, 184-192 (1972).
6. V. L. Ginzburg, "Vavilov-Cerenkov effect and anomalous Doppler effect in a medium in which wave phase velocity exceeds velocity of light in vacuum," Sov. Phys. JETP 35, 92-93 (1972).
7. B. M. Bolotovskii and V. P. Bykov, "Radiation by charges moving faster than light," Sov. Phys. Usp. 33, 477-487 (1990).
8. H. Ardavan, "Generation of focused, nonspherically decaying pulses of electromagnetic radiation," Phys. Rev. E 58, 6659-6684 (1998).
9. H. Ardavan, A. Ardavan, and J. Singleton, "Spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns," J. Opt. Soc. Am. A 21, 858-872 (2004). i
10. H. Ardavan, A. Ardavan, J. Singleton, J. Fasel, and A. Schmidt, "Morphology of the nonspherically decaying radiation beam generated by a rotating superluminal source," J. Opt. Soc. Am. A 24, 2443-2456 (2007).
11. The superposition of the subbeams is necessarily incoherent because the subbeams that are detected at two neighboring points within the overall beam arise from two distinct filamentary parts of the source with essentially no common elements. The incoherence of this superposition would ensure that, though the field amplitude within a subbeam, which narrows with distance, decays nonspherically, the field amplitude associated with the overall radiation beam, which occupies a constant solid angle, does not.
12. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1999).
13. J. H. Hannay, "Bounds on fields from fast rotating sources, and others," Proc. R. Soc. London, Ser. A 452, 2351-2354 (1996). i
14. J. H. Hannay, "Comment II on 'Generation of focused, nonspherically decaying pulses of electromagnetic radiation'," Phys. Rev. E 62, 3008-3009 (2000).
15. J. H. Hannay, "Comment on 'Method of handling the divergences in the radiation theory of sources that move faster than their waves'," J. Math. Phys. 42, 3973-3974 (2001).
16. J. H. Hannay, "Spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns: comment," J. Opt. Soc. Am. A 23, 1530-1534 (2006).
17. H. Ardavan, A. Ardavan, and J. Singleton, "Spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns: reply to comment," J. Opt. Soc. Am. A 23, 1535-1539 (2006).
18. E. Recami, M. Zamboni-Rached, and H. Hernández-Fiueroa, "Superluminal x-shaped waves and localized waves: a historical and scientific introduction," in Localized Waves, H. Hernández-Fiueroa, M. Zamboni-Rached, and E. Recami, eds. (Wiley, 2008), arXiv:0708.1655v2 [physics.genph], 16 August 2007, http:// arxiv.org/abs/0708.1655v2.
19. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. 1 (McGraw-Hill, 1953).
20. R. F. Hoskins, Delta Functions: An Introduction to Generalised Functions (Horwood, 1999), Chap. 7.
21. C. Chester, B. Friedman, and F. Ursell, "An extension of the method of steepest descent," Proc. Cambridge Philos. Soc. 53, 599-611 (1957).
22. R. Burridge, "Asymptotic evaluation of integrals related to time-dependent fields near caustics," SIAM J. Appl. Math. 55, 390-409 (1995).
23. N. Bleistein and R. A. Handelsman, Asymptotic Expansions of Integrals (Dover, 1986).
24. That these components of the gradient are of the same order of magnitude is a consequence of the fact that the spiraling cusps that emanate from this source propagate to infinity along a conical surface centered at the origin and so have nonzero pitch angles.
25. M. V. Popov, V. A. Soglasnov, V. I. Kondrat'ev, S. V. Kostyuk, and Y. P. Ilyasov, "Giant pulses - the main component of the radio emission of the Crab pulsar," Astron. Rep. 50, 55-61 (2006).
26. T. H. Hankins, J. S. Kern, J. C. Weatherall, and J. A. Eilek, "Nanosecond radio bursts from strong plasma turbulence in the Crab pulsar," Nature (London) 422, 141-143 (2003).
27. V. A. Soglasnov, M. V. Popov, N. Bartel, W. Cannon, A. Y. Novikov, V. I. Kondratiev, and V. I. Altunin, "Giant pulses from PSR B1937+21 with widths ≤15 nanoseconds and Tb≥5×1039K, the highest brightness temperature observed in the universe," Astrophys. J. 616, 439-451 (2004).
28. A. Schmidt, H. Ardavan, J. Fasel, J. Singleton, and A. Ardavan, "Occurrence of concurrent 'orthogonal' polarization modes in the Liénard-Wiechert field of a rotating superluminal source," in Proceedings of the 363rd WE-Heraeus Seminar on Neutron Stars and Pulsars, W. Becker and H. H. Huang, eds. (Max-Plânck Institute für extraterrestrische Physik, 2007), pp. 124-127, arXiv:astroph /0701257, 9 January 2007, http://arxiv.org/abs/astro-ph/0701257v1.
29. H. Ardavan, A. Ardavan, J. Singleten, J. Fasel, and A. Schmidt, "Spectral properties of the nonspherically decaying radiation generated by a rotating superluminal source," arXiv:0710.3364 [astro-ph], 17 October 2007, http://arxiv.org/abs/0710.3364.