A new method for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria
نویسندگان
چکیده
A new mathematical formulation for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria in Cartesian and spherical coordinates is presented. The method uses a representation of the magnetic field in terms of poloidal and toroidal field components which automatically guarantees the solenoidal character of the magnetic field. This representation is commonly used in the theory of linear force-free magnetic fields. One advantage of this representation of the magnetic field is that the calculation involves only one scalar function whereas in previous treatments one was forced to operate with all three components of the magnetic field independently.
منابع مشابه
The Green’s function method for a special class of linear three-dimensional magnetohydrostatic equilibria
We present the Green’s function method for a special class of linear self-consistent three-dimensional solutions of the magnetohydrostatic (MHS) equations for which the current density is a combination of a linear force-free part and a part with non-forc e-free components. This allows the construction of MHS solutions of this class with arbitrary photospheric boundary conditions for Bz . These ...
متن کاملNonlinear self-consistent three-dimensional arcade-like solutions of the magnetohydrostatic equations
Exact self-consistent solutions of themagnetohydrostatic equations in three dimensions with a nonlinear relationship between the magnetic field and the current density are presented. The derivation is carried out in Cartesian coordinates including a constant gravitational force pointing into the negative z-direction. Out of several solution classes only one has an arcade-like magnetic field top...
متن کاملNumerical Studies of Magnetohydrostatic Finite-Beta Stellarator Equilibria
Properties of finite-beta stellarator equilibria are investigated which are obtained as fully three-dimensional finite-beta solutions of the magnetohydrostatic boundary value problem with the help of the code by Bauer, Betancourt, and Garabedian based on the energy method. In the case of slender 1 — 2 stellarator equilibria the displacement of the magnetic axis as well as its helical deformatio...
متن کاملA New Method for Calculating Propagation Modes of a One Dimensional Photonic Crystal (RESEARCH NOTE)
Photonic band-gap (PBG) crystals offer new dimensions of freedom in controlling propagation of electromagnetic waves. The existence of stop-bands in the transmission characteristic of these crystals makes them a suitable element for the realization of many useful microwave and optical subsystems. In this paper, we calculate the propagation constant of a one-dimensional (1-D) photonic crystal by...
متن کاملRobust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...
متن کامل