Optimal laser heating of plasmas with constant density
dc.contributor.author | Vitela, J. E. | en_US |
dc.contributor.author | Akcasu, A. Ziya | en_US |
dc.date.accessioned | 2006-09-11T15:49:22Z | |
dc.date.available | 2006-09-11T15:49:22Z | |
dc.date.issued | 1987-01 | en_US |
dc.identifier.citation | Vitela, J. E.; Akcasu, A. Z.; (1987). "Optimal laser heating of plasmas with constant density." Journal of Optimization Theory and Applications 52(1): 123-149. <http://hdl.handle.net/2027.42/45228> | en_US |
dc.identifier.issn | 1573-2878 | en_US |
dc.identifier.issn | 0022-3239 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45228 | |
dc.description.abstract | The laser heating of a plasma with constant density is analyzed using optimal control theory. Heating strategies that minimize the total energy spent, the heating time, or a linear combination of the two, for several values of weighting coefficients, are obtained by determining the optimal laser intensity associated with each point of the phase plane. A numerical example is used to illustrate the application of the theory. In this particular example, savings in the energy spent up to 75%, compared with the energy required using a constant laser pulse, are obtained when minimum energy trajectories are implemented. Strategies that minimize the heating time, however, did not yield a significant reduction in the heating time. Numerical results may depend strongly on the initial state of the system as well as on the final ion temperature of the plasma. | en_US |
dc.format.extent | 1383280 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Theory of Computation | en_US |
dc.subject.other | Applications of Mathematics | en_US |
dc.subject.other | Optimization | en_US |
dc.subject.other | Optimization | en_US |
dc.subject.other | Engineering, General | en_US |
dc.subject.other | Operation Research/Decision Theory | en_US |
dc.subject.other | Plasmas | en_US |
dc.subject.other | Laser Heating | en_US |
dc.subject.other | Singular Controls | en_US |
dc.subject.other | Calculus of Variations and Optimal Control | en_US |
dc.subject.other | Optimal Control Theory | en_US |
dc.subject.other | Mathematics | en_US |
dc.title | Optimal laser heating of plasmas with constant density | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Nuclear Engineering, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationother | Centro de Estudios Nucleares, Universidad Nacional Autónoma de México, 04510, México, D.F., Mexico | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45228/1/10957_2004_Article_BF00938468.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00938468 | en_US |
dc.identifier.source | Journal of Optimization Theory and Applications | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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