On elastic-electromagnetic mathematical equivalences

Physics

Scientific paper

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Electromagnetic Theory, Marine Electromagnetics, Controlled Source Seismology, Theoretical Seismology, Wave Propagation, Acoustic Properties

Scientific paper

Elastic-electromagnetic mathematical equivalences, which here consist of recasting Maxwell's equations and the constitutive relations for an electromagnetic medium into a form that is mathematically identical with that of the basic equations for elastic waves, are presented. These equivalences allow us, for example, to use a finite-difference modelling code developed for elastic wave propagation to model electromagnetic wave propagation. The reverse process, which consists of using a finite-difference modelling code developed for electromagnetic wave propagation to model elastic wave propagation, is valid only for particular forms of elastic wave equations, such as acoustic wave equations in a 2-D medium (i.e. an infinitely long line source in the cross-line direction and acoustic properties invariant in the cross-line direction).

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