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Uniqueness and numerical methods for the inverse scattering by a locally rough surface with buried obstacles

  • 演讲者:李建樑(湖南师范大学)

  • 时间:2024-04-30 10:00-11:00

  • 地点:腾讯会议ID: 795325130 ( 密码:240430 )

Abstract

Consider the problem of scattering of time-harmonic point sources by an infinite locally rough interface with bounded obstacles embedded in the lower half-space. The model problem is first reduced to an equivalent integral equation formulation defined in a bounded domain, where the well-posedness is obtained in $L^p$ by the classical Fredholm theory. Then a global uniqueness theorem is proved for the inverse problem of recovering the locally rough interface, the embedded obstacles and the wave number in the lower half-space by means of near-field measurements above the interface. Moreover, the linear sampling method and reverse time migration method are introduced to reconstruct both the interface and the embedded obstacle.