MULTICOMPONENT WAVE PROPAGATION: ATTAINMENT OF COHERENCE FROM ARBITRARY STARTING CONDITIONS†

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Abstract
The method of characteristics is used to prove the coherence principle, namely, that an arbitrary starting variation embedded between sufficiently large regions of constant state is resolved into coherent (simple)waves, which become separated by new regions of constant state. It is furthermore shown that this principle allows the directions of change of dependent variables to be immediately predicted within entirely noncoherent situations.