High Permittivity Photonic Crystals Investigated in the Microwave Range by Experiment and Simulation

Philipp Maximilian Oberhumer

High Permittivity Photonic Crystals Investigated in the Microwave Range by Experiment and Simulation

Titel in Übersetzung: Simulation und experimentelle Untersuchung von Photonischen Kristallen hoher Dielektrizitätskonstante im Mikrowellengebiet

Philipp Maximilian Oberhumer

Lehrstuhl für Physik (460)

Publikation: Thesis / Studienabschlussarbeiten und Habilitationsschriften › Diplomarbeit

Abstract

In dieser Arbeit wurden Photonische Kristalle (PhK) mit einer periodisch modulierten Dielektrizitätkonstante (DK) untersucht. Neben eindimensionalen (1D) PhK aus Polymeren wurden insbesondere 1D und 2D PhK mit Keramiken unterschiedlich hoher DK realisiert. Experimentelle Transmissionsmessungen im Mikrowellengebiet, numerische Simulationen und Bandstrukturrechnungen wurden verglichen. Es wurde eine Diskrepanz zwischen Simulation und Experiment vor allem bei hohen Frequenzen und hoher DK festgestellt. Weiters wurde eine neuartige Eigenschaft, eine komplette omnidirektionale Bandlücke, eines 2D Kristalls mit einem quadratischen Gitter, einer DK von 90 und quadratischen Stäbchen mit einem Verhältnis Seitenlänge zu Gitterkonstante (s/a) = 0,533 gefunden. Erkenntnisse über das Verhalten im Mikrowellengebiet geben direkt Auskunft über Eigenschaften entsprechend skalierter Strukturen in allen Wellenlängenbereichen. PhK haben großes Anwendungspotential in der Mikrowellentechnik und der optischen Telekommunikation. Eine beträchtliche Effizienzsteigerung und/oder Miniaturisierung von Lasern, LEDs, Filtern und Lichtwellenleitern wird mit PhK erreicht. Ein weiteres Ziel ist folglich die Ablösung integrierter elektronischer durch optoelektronische und ferner rein optische Schaltkreise.

Titel in Übersetzung	Simulation und experimentelle Untersuchung von Photonischen Kristallen hoher Dielektrizitätskonstante im Mikrowellengebiet
Originalsprache	Englisch
Betreuer/-in / Berater/-in	Kuchar, Friedemar, Mitbetreuer (intern) Meisels, Ronald, Betreuer (intern)
Datum der Bewilligung	30 Juni 2006
Publikationsstatus	Veröffentlicht - 2006

Bibliographische Notiz

gesperrt bis null

Schlagwörter

Kristalle
photonische Dielektrizität
hohe Bandstruktur Simulation Transmission Mikrowellen Bandlücke
komplette omnidirektionale PhK PK PC PhC

Dieses zitieren

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title = "High Permittivity Photonic Crystals Investigated in the Microwave Range by Experiment and Simulation",

abstract = "In this thesis photonic crystals (PhC's) with periodically modulated permittivity were examined. Besides one dimensional (1D) polymer based PhC's, high permittivity ceramic 1D and 2D PhC's were constructed. Simulated and experimental transmissions in the microwave (MW) range, as well as band structure calculations, were compared. A discrepancy between experimental and simulation results emerges for crystals with higher permittivity at higher frequencies. Furthermore a new property, a complete omnidirectional gap, of a 2D PhC with a simple square lattice having a ratio rod thickness/lattice constant (s/a) = 0.533 and a permittivity of 90, was found. Findings in the MW range are scalable to all wavelengths and therefore PhC's have high application potential in the MW as well as the optical range (e.g. telecommunications). A significant miniaturisation and/or increase in efficiency of lasers, LED's, filters and waveguides are/is achieved. A future goal is therefore the displacement of integrated electronics by optoelectronic and optical circuits.",

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N2 - In this thesis photonic crystals (PhC's) with periodically modulated permittivity were examined. Besides one dimensional (1D) polymer based PhC's, high permittivity ceramic 1D and 2D PhC's were constructed. Simulated and experimental transmissions in the microwave (MW) range, as well as band structure calculations, were compared. A discrepancy between experimental and simulation results emerges for crystals with higher permittivity at higher frequencies. Furthermore a new property, a complete omnidirectional gap, of a 2D PhC with a simple square lattice having a ratio rod thickness/lattice constant (s/a) = 0.533 and a permittivity of 90, was found. Findings in the MW range are scalable to all wavelengths and therefore PhC's have high application potential in the MW as well as the optical range (e.g. telecommunications). A significant miniaturisation and/or increase in efficiency of lasers, LED's, filters and waveguides are/is achieved. A future goal is therefore the displacement of integrated electronics by optoelectronic and optical circuits.

AB - In this thesis photonic crystals (PhC's) with periodically modulated permittivity were examined. Besides one dimensional (1D) polymer based PhC's, high permittivity ceramic 1D and 2D PhC's were constructed. Simulated and experimental transmissions in the microwave (MW) range, as well as band structure calculations, were compared. A discrepancy between experimental and simulation results emerges for crystals with higher permittivity at higher frequencies. Furthermore a new property, a complete omnidirectional gap, of a 2D PhC with a simple square lattice having a ratio rod thickness/lattice constant (s/a) = 0.533 and a permittivity of 90, was found. Findings in the MW range are scalable to all wavelengths and therefore PhC's have high application potential in the MW as well as the optical range (e.g. telecommunications). A significant miniaturisation and/or increase in efficiency of lasers, LED's, filters and waveguides are/is achieved. A future goal is therefore the displacement of integrated electronics by optoelectronic and optical circuits.

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