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Super-resolution in imaging high contrast targets from the perspective of scattering coefficients

by H. Ammari and Y.T. Chow and J. Zou

(Report number 2015-42)

Abstract
In this paper we consider the inverse scattering problem for high-contrast targets. We mathematically analyze the experimentally-observed phenomenon of super-resolution in imaging the target shape. This is the first time that a mathematical theory of super-resolution has been established in the context of imaging high contrast inclusions. We illustrate our main findings with a variety of numerical examples. Our analysis is based on the novel concept of scattering coefficients. These findings may help in developing resonant structures for resolution enhancement.

Keywords: inverse scattering, super-resolution, scattering coefficients

@Techreport{ACZ15_632,
  author = {H. Ammari and Y.T. Chow and J. Zou},
  title = {Super-resolution in imaging high contrast targets from the perspective
of scattering coefficients},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2015-42},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2015/2015-42.pdf },
  year = {2015}
}

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