Numerical performance of layer stripping algorithms for two-dimensional inverse scattering problems
dc.contributor.author | Yagle, Andrew E. | en_US |
dc.contributor.author | Raadhakrishnan, P. | en_US |
dc.date.accessioned | 2006-12-19T19:14:12Z | |
dc.date.available | 2006-12-19T19:14:12Z | |
dc.date.issued | 1992-08-01 | en_US |
dc.identifier.citation | Yagle, A E; Raadhakrishnan, P (1992). "Numerical performance of layer stripping algorithms for two-dimensional inverse scattering problems." Inverse Problems. 8(4): 645-665. <http://hdl.handle.net/2027.42/49097> | en_US |
dc.identifier.issn | 0266-5611 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/49097 | |
dc.description.abstract | Numerical results of implementing a two-dimensional layer stripping algorithm to solve the two-dimensional Schrodinger equation inverse potential problem are presented and discussed. This is the first exact (all multiple scattering and diffraction effects are included) numerical solution of a multi-dimensional Schrodinger equation inverse potential problem, excluding optimization-based approaches. The results are as follows: (1) the layer stripping algorithm successfully reconstructed the potential from scattering data measured on a plane (as it would be in many applications); (2) the algorithm avoids multiple scattering errors present in Born approximation reconstructions; and (3) the algorithm is insensitive to small amounts of noise in the scattering data. Simplifications of layer stripping and invariant imbedding algorithms under the Born approximation are also discussed. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 1272558 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | Numerical performance of layer stripping algorithms for two-dimensional inverse scattering problems | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationother | Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/49097/2/ip920412.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0266-5611/8/4/012 | en_US |
dc.identifier.source | Inverse Problems. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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