Reconstructing Material Defects with Regularized Acoustic Waves Beneath the Surface

Documents

• Computational Models
• Snippets
• A technical overview illustrating how surface acoustic measurements can be mathematically back-propagated to map hidden internal defects or geological structures without damaging the material.

Exploration Frontiers

• Helmholtz-Cauchy Problem -> Full Elastic Navier-Cauchy Wave Equation
• Complex Wavenumber Modeling -> Tensor-Valued Stiffness Anisotropy
• Corrected Exponential Decay Envelope -> Frequency-Hopping Continuation Methods
• Exponential Error Amplification -> Adaptive Tikhonov Tuning
• Tikhonov Regularization & Filtering -> Sparse Reconstruction & Total Variation
• Anisotropic Scattering & Stratified Media -> Full Inversion Across Frequency Bands

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