https://doi.org/10.1007/s100510170059
A wave automaton for Maxwell's equations
Laboratoire de Physique de la Matière Condensée (CNRS UMR 6622) ,
Université de Nice-Sophia Antipolis,
Parc Valrose, BP 71, 06108 Nice Cedex 2, France
Corresponding author: a vanneste@unice.fr
Received:
19
July
2001
Published online: 15 October 2001
This paper presents an extension to electromagnetic fields of the wave automaton, which was introduced in recent years for describing wave propagation in inhomogeneous media. Using elementary processes obeying a discrete Huygens' principle and satisfying fundamental symmetries such as time reversal and reciprocity, this new wave automaton is capable of modeling Maxwell's equations in 3+1 dimensions. It supplements the methods that were developed early for scalar and spinor fields.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 42.25.Fx – Diffraction and scattering / 02.70.-c – Computational techniques
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
