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Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures
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Michael V. Klibanov
and
Vladimir G. Romanov
Published/Copyright:
February 18, 2015
Abstract
Imaging of nano structures is necessary for the quality control in their manufacturing. In the case when X-rays probe the medium, only the modulus of the complex valued scattered wave field can be measured. The phase cannot be measured. In the case of the Born approximation, we obtain an explicit reconstruction formula for the unknown coefficient from the phaseless scattering data.
Keywords: Phaseless inverse scattering; Born approximation; reconstruction formula; nano structures; Radon transform
MSC: 35R30
Received: 2015-1-11
Accepted: 2015-1-12
Published Online: 2015-2-18
Published in Print: 2015-4-1
© 2015 by De Gruyter
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Keywords for this article
Phaseless inverse scattering;
Born approximation;
reconstruction formula;
nano structures;
Radon transform
Articles in the same Issue
- Frontmatter
- Inverse free boundary problems for a generally degenerate parabolic equation
- Numerical solution of two-dimensional radially symmetric inverse heat conduction problem
- Analysis of variability in estimates of cell proliferation parameters for cyton-based models using CFSE-based flow cytometry data
- Singular value decomposition for the cone-beam transform in the ball
- Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures
