Reflection and refraction of elastic wave at VTI-TTI media interface

Detection of Self-Healing Discharge in Metallized Film Capacitors Using an Ultrasonic Method

“…At the same time, is reflected at the interface and generates two separate reflected waves-reflected longitudinal wave and reflected shear wave . The ratio between the maximum amplitudes of the refracted and incident waves is known as the refraction coefficient and depends on the acoustic impedances of the two materials (stuffing and metal shell), , , where ρ is the material's density and c is the speed of sound in the material [21,22]. The refraction coefficients of the refracted longitudinal wave and shear wave ( , respectively) are calculated as follows: The propagation path of the first-arrival ultrasonic waves is given in Figure 6, and it can be seen that the initial ultrasound wave P 0 is refracted into two separate waves-longitudinal wave P 0t and shear wave SV 0t -after traveling through path x 1 with a horizontal length x 1 .…”

Acoustic Waves at the Interface Between Different Types of Anisotropic-Strata

“…Inside the refraction TTI medium, an eighth-order polynomial of the angles of refraction is obtained for the refracted P-wave and SV-wave [35], . .…”

“…While an interface between likewise-media has a relatively simple geometric structure [24][25][26][27][28][29][30][31][32][33][34], the interface between unlike-media can be much more complicated [35].…”

Anomalous Refraction of Transversely Isotropic Media with Strong Anisotropy

“…At the interface between two VTI media, as shown in Figure 2, Snell's law can be used to establish a fourthorder polynomial for the angles of the reflection and refraction [13]. Most recently, an eighth-order polynomial has also been established for the transversely isotropic medium with a tilt axis of symmetry (TTI medium), as shown in Figure 1(b) [22]. The solution reveals a possible anomalous incident angle that occurs for strongly anisotropic media.…”