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
Iterative Methods for Waveguide Discontinuity Problems
by
Dr. Ya Yan Lu
Associate Professor, Department of Mathematics,
City University of Hong Kong
Date: March 23, 2005 (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: The scattering problems of electro-magnetic or light waves at waveguide discontinuities are important in practical engineering applications. A single waveguide discontinuity arises at a waveguide end facet or when two different waveguides are connected together. Multiple waveguide discontinuities can be found in many devices fabricated with piecewise uniform segments. For a single waveguide discontinuity, we describe efficient numerical methods based on Krylov subspace iterative methods and rational approximations of square root pseudo-differential operators. For multiple waveguide discontinuities, we present an iterative method that solves the wave fields at the discontinuities only, while the wave fields are efficiently propagated from one discontinuity to another in each iteration.
(Tea, coffee and cookies will be provided at the Faculty Common Room in B6501 before the colloquium from 4:00 to 4:30 pm. Please come and join us!)
** All interested are welcome **
For enquiry: 2788-9816
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