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A New Construction for Scalar Wave Equations in Inhomogeneous Media

Samuel De Toro Arias·Christian Vanneste
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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 Schrödinger 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.

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BibTeXRIS

Samuel De Toro Arias, Christian Vanneste. 1998-08-10. A New Construction for Scalar Wave Equations in Inhomogeneous Media. https://arxiv.org/abs/cond-mat/9808099

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