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dc.contributor.authorRodrigues, Augusto da Silveira.
dc.creatorRodrigues, Augusto da Silveira.en_US
dc.date.accessioned2011-10-31T18:40:45Z
dc.date.available2011-10-31T18:40:45Z
dc.date.issued1996en_US
dc.identifier.urihttp://hdl.handle.net/10150/187455
dc.description.abstractThe propagation of light pulses whose spectra are in the vicinity of a material two-photon resonance is studied. We derive the appropriate form for the nonlinear polarization. In the limit of fast material response (as compared to the pulse duration) we obtain a wave equation that includes a new term that reflects the nonlinearly dispersive nature of the propagation. We find that nonlinear dispersion leads to self-steepening, and asymmetric spectral modulation, which in the absence of linear dispersion eventually leads to an optical shock formation. However, second-order linear dispersion is eventually able to stop the steepening and we show that a new set of solitons are supported by the system, resulting from the interplay of linear dispersion, intensity dependent refractive-index, and nonlinear dispersion. We assess the effects of third-order linear dispersion on these pulses and show that for realistic values of the parameters and not too large propagation distances they remain relatively stable. We study also the evolution of ultra-short pulses in a medium whose relaxation time is comparable to the pulses duration, and apply those results to the study of femtosecond pulse propagation in quantum dot doped waveguides.
dc.language.isoenen_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.titleNonlinear pulse propagation near a two-photon resonance.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.contributor.chairWright, Ewan M.en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.contributor.committeememberPeyghambarian, Nasseren_US
dc.contributor.committeememberBinder, Rudolfen_US
dc.identifier.proquest9626473en_US
thesis.degree.disciplineOptical Sciencesen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
refterms.dateFOA2018-07-14T17:33:25Z
html.description.abstractThe propagation of light pulses whose spectra are in the vicinity of a material two-photon resonance is studied. We derive the appropriate form for the nonlinear polarization. In the limit of fast material response (as compared to the pulse duration) we obtain a wave equation that includes a new term that reflects the nonlinearly dispersive nature of the propagation. We find that nonlinear dispersion leads to self-steepening, and asymmetric spectral modulation, which in the absence of linear dispersion eventually leads to an optical shock formation. However, second-order linear dispersion is eventually able to stop the steepening and we show that a new set of solitons are supported by the system, resulting from the interplay of linear dispersion, intensity dependent refractive-index, and nonlinear dispersion. We assess the effects of third-order linear dispersion on these pulses and show that for realistic values of the parameters and not too large propagation distances they remain relatively stable. We study also the evolution of ultra-short pulses in a medium whose relaxation time is comparable to the pulses duration, and apply those results to the study of femtosecond pulse propagation in quantum dot doped waveguides.


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