A multi-frequency iterative imaging method for discontinuous inverse medium problem
The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of...
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| Veröffentlicht in: | Journal of computational physics 2018-06, Vol.362, p.290-304 |
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| container_title | Journal of computational physics |
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| creator | Zhang, Lei Feng, Lixin |
| description | The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem. We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method. |
| doi_str_mv | 10.1016/j.jcp.2018.02.026 |
| format | Article |
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We employ the primal dual theory and fast solution of integral equations, and propose a new iterative imaging method. The selection criteria of regularization parameter is given by the method of generalized cross-validation. Based on multi-frequency measurements of the scattered field, a recursive linearization algorithm has been presented with respect to the frequency from low to high. We also discuss the initial guess selection strategy by semi-analytical approaches. Numerical experiments are presented to show the effectiveness of the proposed method.</description><identifier>ISSN: 0021-9991</identifier><identifier>EISSN: 1090-2716</identifier><identifier>DOI: 10.1016/j.jcp.2018.02.026</identifier><language>eng</language><publisher>Cambridge: Elsevier Inc</publisher><subject>Algorithms ; Analytical approximation ; Approximation ; Computational physics ; Integral equations ; Inverse medium scattering ; Inverse problems ; Iterative methods ; Multi-frequency measurements ; Primal–dual Newton method ; Refractivity ; Regularization ; Regularization parameter</subject><ispartof>Journal of computational physics, 2018-06, Vol.362, p.290-304</ispartof><rights>2018 Elsevier Inc.</rights><rights>Copyright Elsevier Science Ltd. 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| ispartof | Journal of computational physics, 2018-06, Vol.362, p.290-304 |
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| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Algorithms Analytical approximation Approximation Computational physics Integral equations Inverse medium scattering Inverse problems Iterative methods Multi-frequency measurements Primal–dual Newton method Refractivity Regularization Regularization parameter |
| title | A multi-frequency iterative imaging method for discontinuous inverse medium problem |
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