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2D H-polarized Auxiliary Basis Functions for the Extension of the Photonic Wannier Function Expansion for Photonic Crystal Circuitry

Mack, Patrick

Abstract:
Report on accuracy improvements in the numerical computation of localized defect modes (classical light modes) by expanding the wave equations into Wannier functions. Several sets of auxiliary basis functions are suggested which describe non-continuously differentiable magnetic fields in H-polarization properly. Furthermore, improvements of the numerical Souza-Marzari-Vanderbilt Wannier function generation algorithm based on group theoretical analysis are discussed.

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Volltext §
DOI: 10.5445/IR/1000023233
Zugehörige Institution(en) am KIT Institut für Theoretische Festkörperphysik (TFP)
Institut für Nanotechnologie (INT)
Publikationstyp Hochschulschrift
Jahr 2011
Sprache Englisch
Identifikator urn:nbn:de:swb:90-232338
KITopen-ID: 1000023233
HGF-Programm 43.14.01 (POF II, LK 01)
Verlag KIT, Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Physik (PHYSIK)
Institut Institut für Theoretische Festkörperphysik (TFP)
Prüfungsdaten 11.02.2011
Referent/Betreuer Prof. K. Busch
Schlagworte Computational Electrodynamics, Group Theory, Representation Theory, Space Groups
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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