On elastic-electromagnetic mathematical equivalences

Author: Ikelle Luc T.  

Publisher: Oxford University Press

ISSN: 0956-540X

Source: Geophysical Journal International, Vol.189, Iss.3, 2012-06, pp. : 1771-1780

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Abstract

SUMMARYElastic-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).