> For the complete documentation index, see [llms.txt](https://via-dean.gitbook.io/all/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://via-dean.gitbook.io/all/multifaceted-viewpoint/mathematical-structures-underlying-physical-laws/animated-results/reconstructing-material-defects-with-regularized-acoustic-waves-beneath-the-surface.md).

# Reconstructing Material Defects with Regularized Acoustic Waves Beneath the Surface

> Discover how regularized wave propagation overcomes mathematical instability to safely reconstruct hidden material cracks from surface measurements in non-destructive testing.

{% embed url="<https://youtu.be/jpn0OIH0FTQ>" %}

### Deliverables

{% embed url="<https://payhip.com/b/BacMg>" %}

### Related Page

[Analyze Flux and Laplacian of The Yukawa Potential](/all/multifaceted-viewpoint/mathematical-structures-underlying-physical-laws/proof-and-derivation/analyze-flux-and-laplacian-of-the-yukawa-potential.md)