Abstract

The same elementary disproof of the claimed “nonspherical” decay that I have given before applies. A comment asserting the correctness of the relevant formula from a standard text on electrodynamics is added at the end.

© 2008 Optical Society of America

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References

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  1. 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]
  2. 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]
  3. H. Ardavan, “Generation of focused, nonspherically decaying pulses of electromagnetic radiation,” Phys. Rev. E 58, 6659-6684 (1998).
    [CrossRef]
  4. H. Ardavan, “Method of handling the divergences in the radiation theory of sources that move faster than their waves,” J. Math. Phys. 40, 4331-4336 (1999).
    [CrossRef]
  5. H. Ardavan, “The mechanism of radiation in pulsars,” Mon. Not. R. Astron. Soc. 268, 361-392 (1994).
  6. H. Ardavan, “The near-field singularity predicted by the spiral Green's function in acoustics and electrodynamics,” Proc. R. Soc. London, Ser. A 433, 451-459 (1991).
    [CrossRef]
  7. J. H. Hannay, “Bounds on fields from fast rotating sources, and others,” Proc. R. Soc. London, Ser. A 452, 2351-2354 (1996). (The factor 1/2 in Eqs. 1.1, 1.5, 1.6 should be replaced by 2 instead, the rest of the equations being unaffected).
    [CrossRef]
  8. J. H. Hannay, “Comment II on 'Generation of focused, nonspherically decaying pulses of electromagnetic radiation',” Phys. Rev. E 62, 3008-3009 (2000).
    [CrossRef]
  9. 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).
    [CrossRef]
  10. 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).
    [CrossRef]
  11. J. D. Jackson, “Classical electrodynamics,” 3rd ed. (Wiley, 1999).
  12. H. Ardavan, A. Ardavan, J. Singleton, J. Fasel, and A. Schmidt, “The fundamental role of the retarded potential in the electrodynamics of superluminal sources,” arXiv:0709.1283v1 [astro-ph] (2007).

2007 (1)

2006 (1)

2004 (1)

2001 (1)

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).
[CrossRef]

2000 (1)

J. H. Hannay, “Comment II on 'Generation of focused, nonspherically decaying pulses of electromagnetic radiation',” Phys. Rev. E 62, 3008-3009 (2000).
[CrossRef]

1999 (1)

H. Ardavan, “Method of handling the divergences in the radiation theory of sources that move faster than their waves,” J. Math. Phys. 40, 4331-4336 (1999).
[CrossRef]

1998 (1)

H. Ardavan, “Generation of focused, nonspherically decaying pulses of electromagnetic radiation,” Phys. Rev. E 58, 6659-6684 (1998).
[CrossRef]

1996 (1)

J. H. Hannay, “Bounds on fields from fast rotating sources, and others,” Proc. R. Soc. London, Ser. A 452, 2351-2354 (1996). (The factor 1/2 in Eqs. 1.1, 1.5, 1.6 should be replaced by 2 instead, the rest of the equations being unaffected).
[CrossRef]

1994 (1)

H. Ardavan, “The mechanism of radiation in pulsars,” Mon. Not. R. Astron. Soc. 268, 361-392 (1994).

1991 (1)

H. Ardavan, “The near-field singularity predicted by the spiral Green's function in acoustics and electrodynamics,” Proc. R. Soc. London, Ser. A 433, 451-459 (1991).
[CrossRef]

Ardavan, A.

Ardavan, H.

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]

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]

H. Ardavan, “Method of handling the divergences in the radiation theory of sources that move faster than their waves,” J. Math. Phys. 40, 4331-4336 (1999).
[CrossRef]

H. Ardavan, “Generation of focused, nonspherically decaying pulses of electromagnetic radiation,” Phys. Rev. E 58, 6659-6684 (1998).
[CrossRef]

H. Ardavan, “The mechanism of radiation in pulsars,” Mon. Not. R. Astron. Soc. 268, 361-392 (1994).

H. Ardavan, “The near-field singularity predicted by the spiral Green's function in acoustics and electrodynamics,” Proc. R. Soc. London, Ser. A 433, 451-459 (1991).
[CrossRef]

H. Ardavan, A. Ardavan, J. Singleton, J. Fasel, and A. Schmidt, “The fundamental role of the retarded potential in the electrodynamics of superluminal sources,” arXiv:0709.1283v1 [astro-ph] (2007).

Fasel, J.

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]

H. Ardavan, A. Ardavan, J. Singleton, J. Fasel, and A. Schmidt, “The fundamental role of the retarded potential in the electrodynamics of superluminal sources,” arXiv:0709.1283v1 [astro-ph] (2007).

Hannay, J. H.

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).
[CrossRef]

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).
[CrossRef]

J. H. Hannay, “Comment II on 'Generation of focused, nonspherically decaying pulses of electromagnetic radiation',” Phys. Rev. E 62, 3008-3009 (2000).
[CrossRef]

J. H. Hannay, “Bounds on fields from fast rotating sources, and others,” Proc. R. Soc. London, Ser. A 452, 2351-2354 (1996). (The factor 1/2 in Eqs. 1.1, 1.5, 1.6 should be replaced by 2 instead, the rest of the equations being unaffected).
[CrossRef]

Jackson, J. D.

J. D. Jackson, “Classical electrodynamics,” 3rd ed. (Wiley, 1999).

Schmidt, A.

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]

H. Ardavan, A. Ardavan, J. Singleton, J. Fasel, and A. Schmidt, “The fundamental role of the retarded potential in the electrodynamics of superluminal sources,” arXiv:0709.1283v1 [astro-ph] (2007).

Singleton, J.

J. Math. Phys. (2)

H. Ardavan, “Method of handling the divergences in the radiation theory of sources that move faster than their waves,” J. Math. Phys. 40, 4331-4336 (1999).
[CrossRef]

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).
[CrossRef]

J. Opt. Soc. Am. A (3)

Mon. Not. R. Astron. Soc. (1)

H. Ardavan, “The mechanism of radiation in pulsars,” Mon. Not. R. Astron. Soc. 268, 361-392 (1994).

Phys. Rev. E (2)

H. Ardavan, “Generation of focused, nonspherically decaying pulses of electromagnetic radiation,” Phys. Rev. E 58, 6659-6684 (1998).
[CrossRef]

J. H. Hannay, “Comment II on 'Generation of focused, nonspherically decaying pulses of electromagnetic radiation',” Phys. Rev. E 62, 3008-3009 (2000).
[CrossRef]

Proc. R. Soc. London, Ser. A (2)

H. Ardavan, “The near-field singularity predicted by the spiral Green's function in acoustics and electrodynamics,” Proc. R. Soc. London, Ser. A 433, 451-459 (1991).
[CrossRef]

J. H. Hannay, “Bounds on fields from fast rotating sources, and others,” Proc. R. Soc. London, Ser. A 452, 2351-2354 (1996). (The factor 1/2 in Eqs. 1.1, 1.5, 1.6 should be replaced by 2 instead, the rest of the equations being unaffected).
[CrossRef]

Other (2)

J. D. Jackson, “Classical electrodynamics,” 3rd ed. (Wiley, 1999).

H. Ardavan, A. Ardavan, J. Singleton, J. Fasel, and A. Schmidt, “The fundamental role of the retarded potential in the electrodynamics of superluminal sources,” arXiv:0709.1283v1 [astro-ph] (2007).

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Equations (3)

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2 B 1 c 2 2 B t 2 = μ 0 j
B = μ 0 4 π [ j ] R d 3 R + Zero ( see final paragraph below ) ,
B const R 0 .

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