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Non-reflecting boundary conditions for Maxwell's Ralf Hiptmair, Zurich Achim Schadle, Berlin

Summary: Non-reflecting boundary conditions for Maxwell's
Ralf Hiptmair, Z¨urich Achim Sch¨adle, Berlin
December 16, 2003
A new discrete non-reflecting boundary condition for the time-
dependent Maxwell equations describing the propagation of an electro-
magnetic wave in an infinite homogenous lossless rectangular waveg-
uide with perfectly conducting walls is presented. It is derived from a
virtual spatial finite difference discretization of the problem on the un-
bounded domain. Fourier transforms are used to decouple transversal
modes. A judicious combination of edge based nodal values permits
us to recover a simple structure in the Laplace domain. Using this,
it is possible to approximate the convolution in time by a similar fast
convolution algorithm as for the standard wave equation.
AMS Subject Classification: 78A50, 65N06, 65R99, 44A10, 44A35
Key words: finite difference time domain methods, transparent boundary
conditions, absorbing boundary conditions, fast convolution, waveguide
1 Introduction
To compute the propagation of electromagnetic (micro-) waves in waveguides


Source: Andrzejak, Artur - Konrad-Zuse-Zentrum für Informationstechnik Berlin


Collections: Computer Technologies and Information Sciences