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Award ID contains: 1715425

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  1. ; ; ; ; (, Journal of Physics Communications)
    Abstract We develop an efficient inversion method for thin high contrast scatterers when the contrast is on the order of the reciprocal of the thickness of the scatterer. We extend prior theory for the Helmholtz equation to arbitrary bounded domains and multiple scatterers in two and three dimensions to obtain a fast forward solver with complexity of one dimension lower. The lower-dimensional approximation is then paired with optimization to form the basis for parameter inversion. We show numerical results for the forward and inverse problems in two dimensions and describe extensions to Maxwell. 
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  2. ; ; (, Inverse Problems)
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  3. ; ; (, Inverse Problems)
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  4. ; ; ; ; (, Inverse Problems)
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  5. (, The Radon Transform, The First 100 Years and Beyond)
    We present a survey of recent results on the inverse Born series. The convergence and stability of the method are characterized in Banach spaces. Applications to inverse problems in various physical settings are described. 
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  6. ; ; ; (, SIAM Journal on Applied Mathematics)
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  7. ; ; (, Journal of Mathematical Physics)
  8. ; ; (, Inverse Problems & Imaging)
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  9. ; (, SIAM Journal on Scientific Computing)
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