A NEW CONSTRUCTION FOR SCALAR WAVE-EQUATIONS IN INHOMOGENEOUS-MEDIA

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 su ch as time-reversal, reciprocity and isotropy. Its novelty is the syst ematic derivation of a unified equation which, properly tuned by a sin gle parameter, leads to either the Klein-Gordon equation or the Schrod inger 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.