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Half‐Space Multigroup Transport Theory

dc.contributor.authorPahor, Sergejen_US
dc.contributor.authorShultis, John Kenneth.en_US
dc.date.accessioned2010-05-06T20:57:22Z
dc.date.available2010-05-06T20:57:22Z
dc.date.issued1969-12en_US
dc.identifier.citationPahor, S.; Shultis, J. K. (1969). "Half‐Space Multigroup Transport Theory." Journal of Mathematical Physics 10(12): 2220-2226. <http://hdl.handle.net/2027.42/69668>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69668
dc.description.abstractA method for solving various half‐space multigroup transport problems for the case of a symmetric transfer matrix is explained. This method is based on the full‐range completeness and orthogonality properties of the infinite‐medium eigenfunctions. First, the albedo problem is considered. A system of Fredholm integral equations is derived for the emergent distribution of the albedo problem, and it is shown that this system has a unique solution. Then, by using the full‐range eigenfunction completeness, the inside angular distribution is obtained from the emergent distribution. Finally, the Milne problem and the half‐space Green's function problem are solved in terms of the emergent distribution of the albedo problem and the infinite‐medium eigenfunctions.en_US
dc.format.extent3102 bytes
dc.format.extent454160 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleHalf‐Space Multigroup Transport Theoryen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, The University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69668/2/JMAPAQ-10-12-2220-1.pdf
dc.identifier.doi10.1063/1.1664827en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.owningcollnamePhysics, Department of


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