Theory Of Physical Properties Of Pulsar Magnetosphere

The study of pulsar magnetosphere is one of important projects in pulsar physics.It is very essential to solve analytically pulsar equation and investigate its physical properties although many simulations of the magnetosphere have been made.Therefore,the analytic solutions of pulsar equation are studied in this thesis.The pulsar equation studied here are based on three basic assumptions:the magnetosphere satisfies magnetic-frozen,force free,and alighed rotator condi-tions.In standard pulsar equation,the magnetosphere corotates with the pulsar,i.e.,the angular velocity?of the fluid equals to the pulsar's angular velocity?₀.Here,two possible cases of non-corotating pulsar equation are studied.In the first case,the angular velocity?of the fluid is the function of Euler po-tential f which describes the magnetic field,that is?=?(f);it is found that the analytic solution describing magnetic dipole structure is obtained when?(f)=?₀f^0.7and the light curved surface bends outwards.In the second case,the angular velocity?of the fluid depends on the cylindrical coordinate?,i.e.,?=?(?)=?₀(1-??),where?is the parameter which is less than 1;the analytic solution of magnetic monopole is found although the dipole solution is not obtained yet.It is believed that these solutions may play a key role in the future study of the radiation mechanism.