Ultrasound Imaging Algorithm for Complex Defect Detection

The patent modifies the imaging algorithm by changing the mathematical parameters in the matrix transformation equations. Specifically, it updates the relationship between spatial frequencies and wave numbers to account for mode conversion effects, where longitudinal waves convert to transverse waves during backscattering. This parameter change allows the algorithm to accurately model complex defect interactions while maintaining computational efficiency through the preserved Fourier transform framework.

The patent introduces an intermediary mathematical transformation that bridges the simplified Fourier transform approach and the complex physical reality of mode conversion. By incorporating phase shift terms as intermediaries in the matrix transformation equations, the algorithm can account for reflection effects and propagation mode changes without requiring a complete reformulation of the imaging methodology. This intermediary approach adds necessary physical accuracy while avoiding the full complexity of wavefield simulation.

The patent applies preliminary phase correction to the spectral data before performing the inverse Fourier transform. By pre-calculating and applying phase shift terms that account for wall reflections and mode conversions, the algorithm prepares the data in advance to produce accurate images of edge defects. This preliminary action ensures that the main computational step (inverse Fourier transform) operates on pre-corrected data, minimizing the need for iterative corrections and reducing overall computational energy consumption.