Persistent Link:
http://hdl.handle.net/10150/185255
Title:
Stability and instability in two laser models.
Author:
Jakobsen, Per Kristen.
Issue Date:
1990
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
In the first part we study linear stability of travelling wave solutions of a system of equations derived from the Maxwell-Bloch system by adiabatically eliminating the polarization. For the reduced system we find exact conditions for stability and instability. We also find that the adiabatic elimination procedure produces a very badly behaved system in the presence of diffraction. The full Maxwell-Bloch system or the system we get by removing both the polarization and the inversion adiabatically does not have these problems. In the second part we study the stability of index guided laser arrays using an ODE model derived by a coupled mode approach. Stationary solutions to the model equations are found under free running and injection locking conditions and their stability are investigated numerically and analytically for large arrays.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Mathematics; Physics
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Newell, A.C.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleStability and instability in two laser models.en_US
dc.creatorJakobsen, Per Kristen.en_US
dc.contributor.authorJakobsen, Per Kristen.en_US
dc.date.issued1990en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIn the first part we study linear stability of travelling wave solutions of a system of equations derived from the Maxwell-Bloch system by adiabatically eliminating the polarization. For the reduced system we find exact conditions for stability and instability. We also find that the adiabatic elimination procedure produces a very badly behaved system in the presence of diffraction. The full Maxwell-Bloch system or the system we get by removing both the polarization and the inversion adiabatically does not have these problems. In the second part we study the stability of index guided laser arrays using an ODE model derived by a coupled mode approach. Stationary solutions to the model equations are found under free running and injection locking conditions and their stability are investigated numerically and analytically for large arrays.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectMathematicsen_US
dc.subjectPhysicsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorNewell, A.C.en_US
dc.contributor.committeememberBrio, M.en_US
dc.contributor.committeememberGibbs, H.en_US
dc.identifier.proquest9111941en_US
dc.identifier.oclc710372360en_US
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.