A New Construction for Scalar Wave Equations in Inhomogeneous Media
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
The paper describes a formulation of discrete scalar wave propagation in an inhomogeneous medium by the use of elementary processes obeying a discrete Huygens' principle and satisfying fundamental symmetries such as time-reversal, reciprocity and isotropy. Its novelty is the systematic derivation of a unified equation which, properly tuned by a single parameter, leads to either the Klein-Gordon equation or the Schr\"{o}dinger equation. The generality of this method enables one to consider its extension to other types of discrete wave equations on any kind of discrete lattice.
Keywords
Cite
@article{arxiv.cond-mat/9808099,
title = {A New Construction for Scalar Wave Equations in Inhomogeneous Media},
author = {Samuel De Toro Arias and Christian Vanneste},
journal= {arXiv preprint arXiv:cond-mat/9808099},
year = {2007}
}
Comments
25 Revtex pages, 15 combined TeX Figures