A New Construction for Scalar Wave Equations in Inhomogeneous Media

Дата и время публикации : 1998-08-10T16:53:57Z

Авторы публикации и институты :
Samuel De Toro Arias (LPMC Nice, CNRS)
Christian Vanneste (LPMC Nice, CNRS)

Ссылка на журнал-издание: J. Phys. I France 7 (1997) 1071–1096
Коментарии к cтатье: 25 Revtex pages, 15 combined TeX Figures
Первичная категория: cond-mat.dis-nn

Все категории : cond-mat.dis-nn

Краткий обзор статьи: 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.

Category: Physics