2025/05/14 by Tielei Zhu, Zhu, Tielei, Zhihao Ge +1
Earth and Planetary Sciences · Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Seismic Imaging and Inversion Techniques #Ultrasonics and Acoustic Wave Propagation
paper · doi:10.48550/arxiv.2505.09495
openalex publication_date 2025/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for reconstructing the extended obstacle with one of four types of boundary conditions on the obstacle. The newly developed imaging functions are constructed by utilizing merely one of various measurement data, including the scattered field, its normal derivative, the bending moment, the transverse force, its far-field and the phaseless total field. Our resolution analysis demonstrates that these imaging functions have a contrast when sampling points are near or far from the boundary of the obstacle. Numerical experiments are further presented to show the algorithm's efficiency to accurately reconstruct complex scatter geometries and its robustness to noise.