Phasor Wave-Field Simulation Providing Direct Access to Instantaneous Frequency: A Demonstration for a Damped Elastic Wave Simulation

Abstract

In this work, we describe and simulate a wave field as a phasor field by simultaneously propagating its real and imaginary parts. In this way, the unique phase angle is directly available, and its time derivative determines the instantaneous frequency. We utilize the concept to describe damping in elastic wave propagation, which is of high importance in several engineering and research disciplines, ranging from earth science and medical diagnosis to physics.

Use of Surface Acoustic Waves for Crack Detection on Railway Track Components—Laboratory Tests

“…For details on the corresponding theory and equations for the elastodynamic finite integration technique (EFIT) the interested reader is referred to the publication by Fellinger et al [12]. A demonstration for a damped elastic wave simulation was recently published by Hammer et al [13]. The software implementation was undertaken in Python using TensorFlow [14] as a tool for a convenient parallelization, enabling computation on multiple CPUs combined with GPU.…”