Studies of Absorbing, Impedance-Matched and Transparent Boundary Conditions for Schrödinger-Type Equations
Thursday, September 9, 1999 - 3:30pm - 4:00pm
David Yevick (University of Waterloo)
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.