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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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