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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 3 — Mar. 1, 2008
  • pp: 780–784

Spectral properties of the nonspherically decaying radiation generated by a rotating superluminal source

Houshang Ardavan, Arzhang Ardavan, John Singleton, Joseph Fasel, and Andrea Schmidt  »View Author Affiliations


JOSA A, Vol. 25, Issue 3, pp. 780-784 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000780


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Abstract

The focusing of the radiation generated by a polarization current with a superluminally rotating distribution pattern is of a higher order in the plane of rotation than in other directions. Consequently, our previously published [ J. Opt. Soc. Am. A 24, 2443 (2007) ] asymptotic approximation to the value of this field outside the equatorial plane breaks down as the line of sight approaches a direction normal to the rotation axis, i.e., is nonuniform with respect to the polar angle. Here we employ an alternative asymptotic expansion to show that, though having a rate of decay with frequency ( μ ) that is by a factor of order μ 2 3 slower, the equatorial radiation field has the same dependence on distance as the nonspherically decaying component of the generated field in other directions: It, too, diminishes as the inverse square root of the distance from its source. We also briefly discuss the relevance of these results to the giant pulses received from pulsars: The focused, nonspherically decaying pulses that arise from a superluminal polarization current in a highly magnetized plasma have a power-law spectrum (i.e., a flux density S μ α ) whose index ( α ) is given by one of the values 2 3 , 2 , 8 3 , or 4 .

© 2008 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(040.3060) Detectors : Infrared
(230.0230) Optical devices : Optical devices
(230.6080) Optical devices : Sources
(250.5530) Optoelectronics : Pulse propagation and temporal solitons
(260.2110) Physical optics : Electromagnetic optics
(350.1270) Other areas of optics : Astronomy and astrophysics

ToC Category:
Optical Devices

History
Original Manuscript: October 15, 2007
Revised Manuscript: January 7, 2008
Manuscript Accepted: January 11, 2008
Published: February 22, 2008

Citation
Houshang Ardavan, Arzhang Ardavan, John Singleton, Joseph Fasel, and Andrea Schmidt, "Spectral properties of the nonspherically decaying radiation generated by a rotating superluminal source," J. Opt. Soc. Am. A 25, 780-784 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-3-780


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References

  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). [CrossRef]
  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); A. Ardavan, W. Hayes, J. Singleton, H. Ardavan, J. Fopma, and D. Halliday, J. Appl. Phys. corrected version of 96(8), 4614-4631 (2004). [CrossRef]
  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). [CrossRef]
  4. B. M. Bolotovskii and A. V. Serov, “Radiation of superluminal sources in vacuum,” Radiat. Phys. Chem. 75, 813-824 (2006). [CrossRef]
  5. B. M. Bolotovskii and V. P. Bykov, “Radiation by charges moving faster than light,” Sov. Phys. Usp. 33, 477-487 (1990). [CrossRef]
  6. H. Ardavan, “Generation of focused, nonspherically decaying pulses of electromagnetic radiation,” Phys. Rev. E 58, 6659-6684 (1998). [CrossRef]
  7. 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). [CrossRef]
  8. 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). [CrossRef]
  9. V. A. Borovikov, Uniform Stationary Phase Method (Institution of Electrical Engineers, 1994).
  10. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1999).
  11. S. Sallmen, D. C. Backer, T. H. Hankins, D. Moffett, and S. Lundgren, “Simultaneous dual-frequency observations of giant pulses from the Crab pulsar,” Astrophys. J. 517, 460-471 (1999). [CrossRef]
  12. A. Kinkhabwala and S. E. Thorsett, “Multifrequency observation of giant radio pulses from the millisecond pulsar B1937+21,” Astrophys. J. 535, 365-372 (2000). [CrossRef]
  13. A. V. Popov, A. D. Kuz'min, O. M. Ul'yanov, A. A. Deshpande, A. A. Ershov, V. V. Zakharenko, V. I. Kondrat'ev, S. V. Kostyuk, B. Y. Losovskii, and V. A. Soglansnov, “Instantaneous radio spectra of giant pulses from the Crab pulsar from decimeter to decameter wavelengths,” Astron. Rep. 50, 562-568 (2006). [CrossRef]
  14. H. Ardavan, A. Ardavan, and J. Singleton, “Frequency spectrum of focused broadband pulses of electromagnetic radiation generated by polarization currents with superluminally rotating distribution patterns,” J. Opt. Soc. Am. A 20, 2137-2155 (2003). [CrossRef]
  15. D. Lorimer and M. Kramer, Handbook of Pulsar Astronomy (Cambridge U. Press, 2005).

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