Elastic scattering problems by penetrable obstacles with embedded objects

2025/12/03 by Chun Liu, Jiaqing Yang, Liu, Chun +3
Mathematics · Engineering · Physics and Astronomy · #Numerical methods in inverse problems #Microwave Imaging and Scattering Analysis #Electromagnetic Scattering and Analysis

paper · pdf · doi:10.48550/arxiv.2512.03624

Abstract

This paper considers 3-D elastic scattering problems by penetrable obstacles with embedded objects. The well-posedness of transmission problem is proved by employing integral equation method. Then the Inverse Problems , which is to recover the obstacle by the far-field pattern measurement, is considered. It is shown that the inhomogeneous penetrable obstacle can be uniquely determined from the far-field pattern at a fixed frequency.

Citations

• Decoupling Elastic Waves and Its Applications
• On the inverse elastic scattering by interfaces using one type of scattered waves
• Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects
• Inverse scattering by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium
• Direct and inverse obstacle scattering problems in a piecewise homogeneous medium
• On uniqueness of recovery of a discontinuous conductivity coefficient

Related

• Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects
• Inverse elastic obstacle scattering problems by monotonicity method
• Inverse scattering by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium
• Recovery of an embedded obstacle and the surrounding medium for Maxwell's system
• Direct and inverse obstacle scattering problems in a piecewise homogeneous medium