The linear sampling method for anisotropic media

The linear sampling method for anisotropic media

We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at 1xed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coe6cients are real we also show that the set of transmission ei...

The linear sampling method for cracks

We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field corresponding to time-harmonic incident plane waves propagating from arbitrary directions. We assume that the arc is a (possibly) partially coated perfect conductor and develop the linear sampling met...

The Linear Sampling Method for Anisotropi

Constitutive model and wave equations for linear, viscoelastic, anisotropic media

Rocks are far from being isotropic and elastic. Such simplifications in modeling the seismic response of real geological structures may lead to misinterpretations, or even worse, to overlooking useful information. It is useless to develop highly accurate modeling algorithms or to naively use amplitude information in inversion processes if the stress-strain relations are based on simplified rheo...

Analytic propagation matrix method for anisotropic magneto-optic layered media

Simplified analytic expressions are derived for the optical propagation matrix of magnetic anisotropic Kerr media using the Lagrange–Sylvester interpolation polynomial. This expression is used to investigate magnetic Kerr films in Fabry–Pérot configurations, magneto-optic recording quadrilayers and alternating periodic stacks. It is found that the magneto-optic reflection coefficients are enhan...