TY - JOUR
T1 - The Use of Plane Waves to Approximate Wave Propagation in Anisotropic Media
AU - Tomi Huttunen & Peter Monk
JO - Journal of Computational Mathematics
VL - 3
SP - 350
EP - 367
PY - 2007
DA - 2007/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8696.html
KW - Ultra weak, Maxwell, Plane wave, Anisotropic medium.
AB - <p style="text-align: justify;">In this paper we extend the standard Ultra Weak Variational Formulation (UWVF) of Maxwell&#39;s equations in an isotropic medium to the case of an anisotropic medium. We verify that the underlying theoretical framework carries over to anisotropic media (however error estimates are not yet available) and completely describe the new scheme. We then consider TM mode scattering, show how these results in a Helmholtz equation in two dimensions with an anisotropic coefficient and demonstrate how to formulate the UWVF for it. In one special case, convergence can be proved. We then show some numerical results that suggest that the UWVF can successfully simulate wave propagation in anisotropic media.</p>