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

Efficient Numerical Simulation of Photonic Crystal Devices

by
Professor Ya Yan LU
Department of Mathematics
City University of Hong Kong

Date: March 4, 2009 (Wednesday)
Time:4:30 pm to 5:30 pm
Venue: Room B6605 (College Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

ABSTRACT: Photonic crystals (PhCs) are periodic structures with a period on the scale of the optical wavelength. Engineers have designed various devices by introducing defects in otherwise perfectly periodic PhCs. Numerical simulation of a PhC device is challenging because the structure is large compared with the wavelength and the periodicity often extends to infinity. Recently, we developed a Dirichlet-to-Neumann map method for PhC devices, which takes advantage of the existence of many identical unit cells. In this talk, we describe further developments including exact boundary conditions that terminate semi-infinite periodic structures, recursive-doubling and Bloch mode expansion techniques for partially periodic structures. We illustrate these new developments with numerical examples including large PhC devices with thousands of unit cells, leaky structures, PhC involving anisotropic media and PhC slabs.

** All interested are welcome **

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