Construction of the Radiation Curve of Pulsar Corresponding to Emission from Magnetic Dipole Field
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Date
2017-11-04
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Addis Ababa University
Abstract
In this work we derive the equations for the dipole component of pulsar’s magnetic
field and construct its radiation curve. This is done following spinning separated
charges as an alternative model for generating dipolar pulsar magnetic field from
Kebede, L.W. 2002. We approach the problem by solving Legendre functions, spherical
harmonics theorem (i.e, Ylm(θ, ϕ) for l = m = 1) and Maxwell’s equations to find
the equations of the magnetic field strength B. The dipolar magnetic field obtained
based on this model is proportional to the charge Q and the angular frequency ω of
the pulsar (i.e, B ∝ Qω) which has an advantage of accommodating the wide range of
neutron stars’s (i.e, both pulsars and magnetars) magnetic field. We have taken data
for the parameters such as Q and ω for the seven well studied pulsars to check the
magnetic field prediction of the model with the observational values, and our result is
in close confirmation with the observed strength of the magnetic field for these seven
well known pulsars.
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Keywords
Pulsars Magnetic Felds, Construction of the Radiation, Curve of Pulsar, Corresponding, Emission, Magnetic Dipole Field