Abstract
dc:description.abstractWe clear up two issues regarding the eigenvalue problem for the Manakov system; these problems relate directly to the existence of the soliton [sic] effect in fiber optic cables. The first issue is a bound on the eigenvalues of the Manakov system: if the parameter ξ is an eigenvalue, then it must lie in a certain region in the complex plane. The second issue has to do with a chirped Manakov system. We show that if a system is chirped too much, the soliton effect disappears. While this has been known for some time experimentally, there has not yet been a theoretical result along these lines for the Manakov system.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematical Physics
- Department dc:contributor.department
- Mathematical Physics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 2007
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Keister, Adrian Clark
- Chair dc:contributor.committeechair
-
- Klaus, Martin
- Committee members dc:contributor.committeemember
-
- Day, Martin V.
- Kohler, Werner E.
- Jacobs, Ira
- Hagedorn, George A.
Subjects
dc:subject × 8Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-06302007-091322
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/28169