Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The electromagnetic radiation whose decay violates the inverse-square
  law: detailed mathematical treatment of an experimentally realized example   I analyse and numerically evaluate the radiation field generated by an
experimentally realized embodiment of an electric polarization current whose
rotating distribution pattern moves with linear speeds exceeding the speed of
light in vacuum. I find that the flux density of the resulting emission (i) has
a dominant value and is linearly polarized within a sharply delineated
radiation beam whose orientation and polar width are determined by the range of
values of the linear speeds of the rotating source distribution, and (ii)
decays with the distance $d$ from the source as $d^{-\alpha}$ in which the
value of $\alpha$ lies between $1$ and $2$ (instead of being equal to $2$ as in
a conventional radiation) across the beam. In that the rate at which boundaries
of the retarded distribution of such a source change with time depends on its
duration monotonically, this is an intrinsically transient emission process:
temporal rate of change of the energy density of the radiation generated by it
has a time-averaged value that is negative (instead of being zero as in a
conventional radiation) at points where the envelopes of the wave fronts
emanating from the constituent volume elements of the source distribution are
cusped. The difference in the fluxes of power across any two spheres centred on
the source is in this case balanced by the change with time of the energy
contained inside the shell bounded by those spheres. These results are relevant
not only to long-range transmitters in communications technology but also to
astrophysical objects containing rapidly rotating neutron stars (such as
pulsars) and to the interpretation of the energetics of the multi-wavelength
emissions from sources that lie at cosmological distances (such as radio and
gamma-ray bursts). The analysis presented in this paper is self-contained and
supersedes my earlier works on this problem.

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The categories of this paper are: math
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat