Liu
Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium
Organized by Prof. Philippe G. Ciarlet and Prof. Roderick Wong
A Dirichlet-to-Neumann Map Approach to Photonic
Crystal Modeling
by
Dr. Ya Yan Lu
Department of Mathematics
City University of Hong Kong
Date: November 1, 2006 (Wednesday)
Time: 4:30 pm to 5:30 pm
Venue: Room B6605 (Faculty Conference Room)
Blue Zone, Level 6
Academic Building
City University of Hong Kong
Abstract:
Photonic crystals are engineered material with periodic structures on the scale of a wavelength of the light. Due to the existence of photonic bandgaps (these are intervals of the frequency, such that light corresponding to a frequency in a bandgap cannot penetrate the photonic crystal), they could play a very important role in future integrated optical circuits, a role as semi-conductors in current electric integrated circuits. Mathematical modeling and numerical simulations of photonic crystals are challenging. Existing numerical methods that discretize the whole structure are not very efficient. We develop a special class of methods based on the Dirichlet-to-Neumann maps. The efficiency and accuracy of our methods are illustrated in numerical examples for computing the bandgaps, transmission spectra
and waveguide modes of photonic crystals.
** All interested are welcome **
For enquiry: 2788-9816
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