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Modeling Optical Technologies with Continuous and Discrete Nonlinear Schrödinger Equations

Chong, Christopher

Abstract:

This thesis considers continuous and discrete models that describe optical technologies. In the continuous setting, the interaction of modulated pulses in nonlinear dispersive media is addressed. It is shown that there is almost no interaction of two modulating pulse solutions with different carrier waves, regardless of the envelope type. In the discrete setting, the existence, stability, and bifurcation structure of localized solutions are examined in one and two dimensions.


Volltext §
DOI: 10.5445/IR/1000012611
Cover der Publikation
Zugehörige Institution(en) am KIT Graduiertenkolleg 1294: Analysis, Simulation und Design nanotechnologischer Prozesse (Graduiertenkolleg 1294)
Publikationstyp Hochschulschrift
Publikationsjahr 2009
Sprache Englisch
Identifikator urn:nbn:de:swb:90-126117
KITopen-ID: 1000012611
Verlag Universität Karlsruhe (TH)
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Graduiertenkolleg 1294: Analysis, Simulation und Design nanotechnologischer Prozesse (Graduiertenkolleg 1294)
Prüfungsdaten 23.07.2009
Schlagwörter Klein-Gordon equation; pulse interaction; Schrödinger equation; bifurcations; variational approximation
Referent/Betreuer Schneider, G.
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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