Talk Abstract:
Studies of Absorbing, Impedance-Matched and Transparent Boundary
Conditions for Schrödinger-Type Equations
David
Yevick
Professor
Department of Physics
University of Waterloo
yevick@sciborg.uwaterloo.ca
Motivated by modeling issues arising during the design of high-speed
electrorefraction modulators, we examine the intrinsic accuracy
of several different numerical boundary conditions for the optical
analogue of Schrödinger's equation. Our analysis leads
to compact approximate formulas for the reflection from absorbing,
impedance matched and non-equidistant grid point layers as well
as to an improved non-local transparent boundary condition with
a vanishing reflectivity. We also present a short discussion
of preliminary work directed toward employing the VisualAge
for C++ software package to generate a highly structured and
fully end-user configurable electric field propagation code.
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1999-2000
Reactive Flow and Transport Phenomena
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