| dc.contributor.advisor | Dobson, David | |
| dc.creator | Flanagan, Michael Brady | |
| dc.date.accessioned | 2004-09-30T01:56:10Z | |
| dc.date.available | 2004-09-30T01:56:10Z | |
| dc.date.created | 2002-12 | |
| dc.date.issued | 2004-09-30 | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/382 | |
| dc.description.abstract | A multi-layered periodic structure is investigated
for optimal shape design in diffraction gratings. A periodic dielectric material is used as the scattering profile for a planar incident wave.
Designing optimal profiles for scattering is a type of inverse problem. The ability to fabricate such materials on the order of the wavelength
of the incoming light is key for design strategies. We compute a finite element
approximation on a variational setup of the forward problem. On the inverse and optimal design problem, we discuss the stability of the designs and develop computational strategies based on a level-set evolutionary approach. | en |
| dc.format.extent | 649553 bytes | en |
| dc.format.extent | 153227 bytes | en |
| dc.format.medium | electronic | en |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | text/plain | |
| dc.language.iso | en_US | |
| dc.publisher | Texas A&M University | |
| dc.rights | I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee.
I hereby grant to Texas A&M University or its agents the non-exclusive
license to archive and make accessible, under the conditions specified below,
my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. | en |
| dc.subject | diffraction | en |
| dc.subject | inverse problems | en |
| dc.subject | optimal design | en |
| dc.subject | scientific computation | en |
| dc.subject | optics | en |
| dc.subject | mathematics | en |
| dc.subject | photonics | en |
| dc.subject | photonic crystals | en |
| dc.subject | level set | en |
| dc.title | Optimal shape design for a layered periodic structure | en |
| dc.type | Book | en |
| dc.type | Thesis | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | Texas
A&M University | en |
| thesis.degree.name | Doctor of Philosophy | en |
| thesis.degree.level | Doctoral | en |
| dc.contributor.committeeMember | | |
| dc.contributor.committeeMember | Pasciak, Joe | |
| dc.contributor.committeeMember | Sarin, Vivek | |
| dc.contributor.committeeMember | Zhou, Jianxin | |
| dc.type.genre | Electronic Dissertation | en |
| dc.type.material | text | en |
| dc.format.digitalOrigin | born digital | en |
