A8-a2 - Quaternion Differential Equation for the (2+1)D and (3+1)D NDT
- Event
- 2025 ICU PADERBORN - 9th International Congress on Ultrasonics
2025-09-21 - 2025-09-25
Paderborn - Band
- Lectures
- Chapter
- A8-a - Nonlinear Acoustics and Ultrasonics
- Author(s)
- S. Furui - Teikyo University, Utsunomiya (Japan), S. D.S. Dos Santos - Universite de Tours, Blois (France)
- Pages
- 78 - 81
- DOI
- 10.5162/Ultrasonic2025/A8-a2
- ISBN
- 978-3-910600-08-9
- Price
- free
Abstract
In Non-Destructive Testing (NDT), Ultrasonic (US) wave scattering positions are detected by interference of reflected original wave and reflected time-reversed (TR) wave. TR-US waves are produced by using the memristor. Transducers and detectors are located in a 2D plane and hysteresis effects are measured. We analyze the spectrum data of Wire Arc Additive Manufacturing (WAAM) sample obtained by Quaternion Excitation Symmetry Analysis Method (QESAM) using the conformally invariant quantum mechanical variables of de Alfaro-Fubini-Furlan. Depending on the relative position of the transducer and receivers, we observed conformality of spectra on different receivers. We review phonetic wave analysis of memristors, and show our lattice simulation data, which could contain chaotic behaviors. The (2+1)D analysis is extended to (3+1)D, by replacing quaternions to biquaternions and split-quaternions and discuss their lattice simulation