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On the Spectral Properties of Dispersive Photonic Crystals

Schmalkoke, Philipp

This thesis is concerned with a parameter-nonlinear spectral problem which describes light propagation in certain two-dimensional, dispersive photonic crystals. A realization of the equation leads to the analysis of an operator pencil with a periodic coefficient depending on the spectral variable. It is shown that the corresponding spectrum is related to a family of eigenvalue equations posed on the underlying periodicity cell. Spectra and eigenfunctions of these problems are analyzed in detail.

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DOI: 10.5445/IR/1000034730
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Hochschulschrift
Publikationsjahr 2013
Sprache Englisch
Identifikator urn:nbn:de:swb:90-347306
KITopen-ID: 1000034730
Verlag Karlsruher Institut für Technologie (KIT)
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Analysis (IANA)
Prüfungsdaten 17.04.2013
Referent/Betreuer Prof. M. Plum
Schlagwörter Dispersive Photonic Crystals, Eigenvalue Problem, Floquet-Bloch Theory, Lambda-Nonlinear, Parameter-Nonlinear
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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