
After this surprising identification, many other pulsars have been found
during the dedicated radio observations. In particular, a pulsar was detected
inside the Crab Nebula, an extended source filled with high energy electrons
emitting synchrotron radiation (i.e. non-thermal emission produced via interaction
with magnetic field). Detailed studies of this exceptionally bright
object had led to the concept of plerions, which allowed the broadband nonthermal
spectra detected from the Crab Nebula to be explained. The plerion
paradigm postulates the existence of three different regions (see Figure 1): (i)
pulsar magnetosphere (the close vicinity of the pulsar, where pulsed emission
is generated); (ii) pulsar wind (an outflow, which transports the energy from
the pulsar to large distances supplying the extended non-thermal source);
and (iii) the extended synchrotron nebula. While the radiation components
of the magnetosphere and the nebula are essential for the interpretation of
the observational data, the wind was assumed to be dim. On the other
hand, the properties of the wind have a strong impact on the nebular emission,
allowing certain conclusion regarding its basic parameters. Namely, the
properties of the Crab Nebula are best explained if the pulsar wind consists
of electron-positron pairs, has very low temperature, and is heavily dominated
by the bulk kinetic energy. Thus, a model of weakly magnetized cold
ultrarelativistic wind was adopted. Although, the description of this model
may sound quite sophisticated, in fact, this is the simplest possible model for
the wind. Indeed, the observational appearance of the nebula requires the
presence of magnetic field, and injection of particles and energy. Assuming
an ultrarelativistic velocity of the wind, in the sense that the kinetic energy
of the wind particles strongly exceed their rest energy, one provides at once
both the particle injection and the supply of the energy required to power
the nebula. The approximation of cold wind and small magnetization imply
the absence of the wind internal structure, and that the wind carries only the
seed magnetic field, that gets amplified in the nebula. It is also important
to note that this idealEmodel was suggested to describe the properties of
the wind close to the inner boundary of the nebula, while in the region of
the wind formation, at the edge of the magnetosphere, the wind remained
unconstrained.

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Despite the apparent simplicity there was no significant progress in the
understanding of pulsar winds for more than 25 years, and it appeared to be
one of the most mysterious phenomena in astrophysics. The key difficulty
in its further study is related to the low temperature of the wind: although
the winds electrons are ultrarelativistic, they represent a form of dark substanceE
in the sense that they move together with the magnetic field and
therefore do not emit any synchrotron radiation. Actually, the only channel
through which the pulsar wind can emit potentially detectable radiation is
the inverse Compton scattering, i.e. the process when a high energy electron
up-scatters a low energy photon to the gamma-ray energy band (for the conditions
expected in the pulsar wind). However, any observational study of
the pulsar wind emission is a very difficult task, since this signal should be
differentiated from the emission components produced by two other much
brighter emitters: the pulsar itself and the nebula.
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