René Marklein

TL;DR: In this paper, the basic equations of EFIT, the Elastodynamic Finite Integration Technique, are formulated for anisotropic inhomogeneous media in 3D, and the discrete equations on a staggered grid resulting in a unique way to discretize material parameters, and evaluate stability conditions and consistency for isotropic homogeneous unbounded media.

TL;DR: In this paper, the Fourier transform synthetic aperture focusing technique is used to yield a quantitative 3D image of defects residing in the homogeneous and isotropic bulk material. And the implementation of this algorithm into an ultrasonic imaging system is described, which mainly comprises an array processor and high-resolution graphics to display the three-dimensional reconstruction volume as a walk-through along three orthogonal planes.

TL;DR: In this paper, the results of nonlinear inversion schemes such as contrast source inversion are compared to the output of SAFT for a carefully designed ultrasonic experiment, and it is shown via synthetic as well as experimental data that SAFT can be extended to electromagnetic vector fields and to an inhomogeneous and/or anisotropic background material.

TL;DR: In this paper, the authors present a flow chart of mathematical foundations for Scalar, Vector and Tensor Fields in the time and frequency domain, including the following: 1.1.

TL;DR: In this paper, the authors employed a new numerical scheme for the computation of elastodynamic wave fields in nearly arbitrary environments to predict the above-mentioned wave features quantitatively, which gives rise to a theoretical interpretation of the physical origin of the numerically computed EFIT wavefronts.