  The topology of the electromagnetic field around neutron stars severely
impacts pulsar physics. While most of the works assume a standard centred
dipolar magnetic field model, recently some efforts have been made to explain
how inclusion of higher multipolar components could drastically change our
understanding of these objects. Also, for simplicity, it has always been
assumed that the magnetic moment coincides with the geometrical centre of the
star. However, lately, a more general picture has been put forward in which the
magnetic dipole moment is shifted off from the centre of the star. It has been
demonstrated that the rotating off-centred dipole can be expanded into
multipolar components. We study the effects of an off-centred rotating dipole
on various characteristic emission features of pulsars in vacuum. The
reliability of the off-centred case and its consequences on the magnetic field
line structure, shape of the polar caps, high energy and radio emission phase
plots and corresponding light curves along with a comparison with the standard
centred case are discussed. It has been seen that an off-centred dipole breaks
the north-south symmetry and allows for more flexibility in radio and
high-energy light-curves fitting and phase lag.
