Inverse scattering problems for first-order systems
dc.contributor.advisor | Paul Sacks | |
dc.contributor.advisor | Marshall Luban | |
dc.contributor.advisor | Michael Smiley | |
dc.contributor.author | Shin, Jaemin | |
dc.contributor.department | Mathematics | |
dc.date | 2018-08-22T19:21:29.000 | |
dc.date.accessioned | 2020-06-30T07:46:34Z | |
dc.date.available | 2020-06-30T07:46:34Z | |
dc.date.copyright | Tue Jan 01 00:00:00 UTC 2008 | |
dc.date.issued | 2008-01-01 | |
dc.description.abstract | <p>In this thesis, the Zakharov-Shabat scattering problem and several types of Landau-Lifschitz scattering problems are considered. The inverse scattering problem is that of seeking one or more coefficients in a system of diffierential equation from the scattering data which, generally, consists of a reflection coefficient and bound state data.;We assume mainly that the coefficients to be determined are of half line support, i.e. they are equal to zero on a half line. Such cases can arise on natural physical grounds, and they can be very good approximations in case of reasonably rapid decay.;Assuming that the coefficients have half line support, we present the uniqueness of the inverse scattering problems as well as develop several efficient numerical algorithms to reconstruct the coefficients via a time domain approach. Also, a relation of the Zakharov-Shabat scattering problem and the Landau-Lifschitz scattering problem is investigated. Some exact theory for the inverse scattering problem with no support restriction is developed by means of corresponding half line support problems.</p> | |
dc.format.mimetype | application/pdf | |
dc.identifier | archive/lib.dr.iastate.edu/rtd/15701/ | |
dc.identifier.articleid | 16700 | |
dc.identifier.contextkey | 7040847 | |
dc.identifier.doi | https://doi.org/10.31274/rtd-180813-16912 | |
dc.identifier.s3bucket | isulib-bepress-aws-west | |
dc.identifier.submissionpath | rtd/15701 | |
dc.identifier.uri | https://dr.lib.iastate.edu/handle/20.500.12876/69360 | |
dc.language.iso | en | |
dc.source.bitstream | archive/lib.dr.iastate.edu/rtd/15701/3316223.PDF|||Fri Jan 14 20:45:23 UTC 2022 | |
dc.subject.disciplines | Mathematics | |
dc.subject.keywords | Mathematics;Applied mathematics | |
dc.title | Inverse scattering problems for first-order systems | |
dc.type | article | |
dc.type.genre | dissertation | |
dspace.entity.type | Publication | |
relation.isOrgUnitOfPublication | 82295b2b-0f85-4929-9659-075c93e82c48 | |
thesis.degree.level | dissertation | |
thesis.degree.name | Doctor of Philosophy |
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