Standard and Gradient Based Tikhonov Regularization in Helmholtz Inverse Scattering Sweeps

Documents

• Computational Models
• Snippets
• An overview explaining how to resolve hidden physical structures in acoustic wave imaging while controlling severe mathematical instability.

Exploration Frontiers

• Static Wavenumber Sweeps -> Multifrequency Joint Inversion
• Exponential Hankel Function Decay -> Adaptive Regularization & L-Curve Tuning
• 0th-Order vs. 1st-Order Tikhonov Filtering -> Higher-Order & Anisotropic Smoothing
• Localized Polar Coordinate Mapping -> Non-Homogeneous Background Media

Relevant Documents: Analyze Flux and Laplacian of The Yukawa Potential