Magnetic dipole interaction with multipole magnetic field lines of neutron stars

Conservation of magnetic flux is associated with regions of the powerful magnetic fields (B ∽ 1013 G) near neutron stars' surface. The vector potential generated by moving electric charge Q is uniformly distributed within a Neutron star's surface (radius R). The evolution of the magnetic field of isolated neutron stars is studied and based on magnetic flux conservation; the multipolar magnetic fields for (l=1; l=2; l =3; l =4) have calculated. We developed the field line equations and simulated the magnetic field line geometry for the interaction between neutron stars' dipole-multipolar magnetic fields using the MATLAB software program. (author)