2026-09-20T19:01:56Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/303202022-01-13T07:54:36Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Jan Egedal.
Wleklinski, Joseph J., 1974-
Massachusetts Institute of Technology. Dept. of Mechanical Engineering.
Massachusetts Institute of Technology. Department of Mechanical Engineering
2006-03-24T18:39:53Z
2006-03-24T18:39:53Z
2005
2005
http://hdl.handle.net/1721.1/30320
61103442
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2005.
Includes bibliographical references (leaf 25).
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.
by Joseph J. Wleklinski.
S.M.
25 leaves
735891 bytes
735968 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mechanical Engineering.
Orbital effects on pitch angle diffusion of injected fast-ion beams in tokamaks
Thesis
application/pdf
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<Abstract>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.</Abstract>
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