Inverse Problem of Electromagnetoelasticity: Simultaneous Determination of Elastic and Electromagnetic Parameters

The Maxwell and Lame systems are considered in the case when the electromagnetic (EM) field is generated by elastic oscillations. We neglect the reverse influence of the EM field on the elastic oscillations. The influence of the EM field on the deformation field is considered as a result of the Lorentz forces. We consider the problem of recovering some elastic and EM parameters of a layered medium from a weakly coupled linearized set of equations of electromagnetoelasticity. To solve the inverse problem for electromagnetoelasticity equations optimization methods are used.