A new mathematical model to the physics of propagation

While Green´s functions provide a powerful analytical means of solving the wave equation, they do not give a very realistic description of the mechanism of propagation. Also the adaptation of Green´s function techniques to numerical methods of solution is not easy. This paper introduces the assumption that propagation takes place in discrete steps, and it is shown that Huygens´s principle then becomes physically much more realistic. The basis for a very simple numerical procedure for the solution of the wave equation is also provided.