Orbital effects on pitch angle diffusion of injected fast-ion beams in tokamaks

The effects of ion orbits on pitch angle scattering of fast ion beam injection are investigated here for the magnetic equilibrium of the ITER tokamak. Two methods are used to calculate distributions in the presence of orbits, one applying boundary conditions a posteriori and one a priori. In both cases an orbit average of the Fokker-Planck equation is taken, yielding a solution in velocity space variables velocity and pitch angle. In the first case, conditions in the form of a linear combination of co, counter, and trapped distributions or fluxes are matched at the orbit transition value of pitch angle so that several distributions combine to form a solution. In the second case, an overall distribution is found which obeys boundary conditions derived from the trapped and passing regime essential behavior. Ultimately, both methods yield distributions which are essentially equivalent in character.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Mechanical Engineering.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2005

Author dc:creator

• Wleklinski, Joseph J., 1974-

Advisor dc:contributor.advisor

• Jan Egedal.

• Mechanical Engineering.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/30320

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/30320