Microwave modeling of photonic crystals

Institut(e): Institut für Hochfrequenztechnik und Quantenelektronik der Universität Karlsruhe
Kaiserstr. 12
D-76128 Karlsruhe

Tel.: +49 721 608-2481
Fax.: +49 721 608-2786
Projektleiter: Prof. Dr.-Ing. Wolfgang Freude
Tel.: +49 721 608-2492
w.freude@ihq.uni-karlsruhe.de
Prof. Dr. Kurt Busch
Sekretariat: Dagmar Goldmann
Tel.: +49 721 608-2481
Fax.: +49 721 608-2786
ihq@uni-karlsruhe.de
Mitarbeiter: Jan-Michael Brosi j.brosi@ihq.uni-karlsruhe.de
 
Abstract:

Integratable waveguiding photonic bandgap (PBG) structures and photonic crystals (PC) are of special interest in the optical communication range near a vacuum wavelength of ?_{o}=1.5?m (frequency f_{o}=200 THz). Details of PC are much smaller than ?_{o}, while the total structure extends usually over regions significantly larger than ?_{o}. Simulations quickly run into limitations of computing time and memory size, because the problems are numerically "large". To verify and optimize any design process, the expensive fabrication and measurement of optical PBG test structures as well as trial-and-error steps are unavoidable. Therefore, we up-scale the geometry of our test structures to a microwave operating frequency near f_{m}=10 GHz (?_{m} = 30mm ), where PTFE-based, low-loss materials with refractive indices n = 3.03, 2.45, 2.12, 1.81, 1.71, 1.48 and n \approx 1 (dielectric foam) are readily avalable. This allows the investigation of high and moderate-index devices. The geometries are up-scaled by 200 THz /10 GHz = 30 mm / 1.5 ?m = 20,000. Our microwave model experiments will check existing and during this project newly developed numerical tools using Wannier function expansions. Understanding loss in PBG waveguides will be crucial for any communication application. However, the various loss mechanisms are not easily to be separated in the optical range, and are therefore difficult to access. With our experiments, we will focus exactly on this task.

SPP meeting, March 2002, Bad Honnef


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Stand: 29. November 2004, by F. Bollin