This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous cavity.We shall develop a modified factorization method to reconstruct the shape and location of the i...This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous cavity.We shall develop a modified factorization method to reconstruct the shape and location of the interior interface of the inhomogeneous cavity by means of many internal measurements of the near-field data.Numerical examples are carried out to illustrate the practicability of the inversion algorithm.展开更多
Consider the inverse scattering of time-harmonic acoustic waves by a mixed-type scatterer consisting of an inhomogeneous penetrable medium with a conductive transmission condition and various impenetrable obstacles wi...Consider the inverse scattering of time-harmonic acoustic waves by a mixed-type scatterer consisting of an inhomogeneous penetrable medium with a conductive transmission condition and various impenetrable obstacles with different kinds of boundary conditions.Based on the establishment of the well-posedness result of the direct problem,we intend to develop a modified factorization method to simultaneously reconstruct both the support of the inhomogeneous conductive medium and the shape and location of various impenetrable obstacles by means of the far-field data for all incident plane waves at a fixed wave number.Numerical examples are carried out to illustrate the feasibility and effectiveness of the proposed inversion algorithms.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11871416,12171057)by the Natural Science Foundation of Shandong Province(Grant No.ZR2019MA027)+1 种基金supported by the National Natural Science Foundation of China(Grant Nos.11971273,12126426)by the Natural Science Foundation of Shandong Province(Grant No.ZR2018MA004).
文摘This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous cavity.We shall develop a modified factorization method to reconstruct the shape and location of the interior interface of the inhomogeneous cavity by means of many internal measurements of the near-field data.Numerical examples are carried out to illustrate the practicability of the inversion algorithm.
基金supported by the National Natural Science Foundation of China Grant(Grant Nos.11871416,12171057)by the Natural Science Foundation of Shandong Province(Grant No.ZR2019MA027).
文摘Consider the inverse scattering of time-harmonic acoustic waves by a mixed-type scatterer consisting of an inhomogeneous penetrable medium with a conductive transmission condition and various impenetrable obstacles with different kinds of boundary conditions.Based on the establishment of the well-posedness result of the direct problem,we intend to develop a modified factorization method to simultaneously reconstruct both the support of the inhomogeneous conductive medium and the shape and location of various impenetrable obstacles by means of the far-field data for all incident plane waves at a fixed wave number.Numerical examples are carried out to illustrate the feasibility and effectiveness of the proposed inversion algorithms.
