Generalization of cylindrical spheromak solution to finite beta and large reversed shear

P. M. Bellan
2002 Physics of Plasmas  
The well-known analytic solution for a spheromak in a cylindrical flux conserver is generalized to the situation of finite ␤ with the shape of the flux conserver now being a dependent quantity. Analytic expressions are found for the poloidal flux surfaces, beta, the safety factors at both the magnetic axis and the wall, and the wall profile. A large reversed shear ͑i.e., ratio of safety factor on magnetic axis to safety factor at the wall͒ can be obtained at finite beta. This feature may be
more » ... feature may be important because reversed shear in the core of tokamaks has been shown to permit stable operation at high ␤.
doi:10.1063/1.1482071 fatcat:ymfkjl6y75aufowcmh5vtmz6zq