Large Amplitude Magnetic Pulse Penetration Into Cylindrical Plasma.
Abstract
Experiments have shown anomalous penetration of large amplitude magnetic pulse in a fast theta pinch that could not be explained by linear theory. A coherent approach based on a set of nonlinear magnetohydrodynamic and Maxwell's equations was used to study this phenomena. To include the cylindrical convergence effect, the equations are written in cylindrical coordinates. The equations are transformed into Lagrangian coordinates and further reduced into nonlinear coupled partial differential equations of magnetic field and electron density. They are solved subject to initial and boundary conditions by numerical methods. The code is written for arbitrary initial density profile and with or without static magnetic field. The results, which show that the velocity of penetration scales like Alfven velocity, agree with observed experimental data. This suggests an alternative explanation other than the turbulent and Helicon wave approaches of the anomalous penetration.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT.........5T
 Keywords:

 Physics: Fluid and Plasma;
 Electron Density Profiles;
 Magnetic Fields;
 Plasmas (Physics);
 Pulse Amplitude;
 Magnetohydrodynamics;
 Partial Differential Equations;
 Pinch Effect;
 Plasma Physics