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A New Construction for Scalar Wave Equations in Inhomogeneous Media | | Samuel De Toro Arias
; Christian Vanneste
; | | Date: |
10 Aug 1998 | | Journal: | J. Phys. I France 7 (1997) 1071--1096 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Affiliation: | LPMC Nice, CNRS | | 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. | | Source: | arXiv, cond-mat/9808099 | | Other source: | [GID 334749] cond-mat/9808099 | | Services: | Forum | Review | PDF | Favorites | |
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