Edge Illumination and Imaging of Extended Reflectors

@article{Borcea2008EdgeIA,
  title={Edge Illumination and Imaging of Extended Reflectors},
  author={Liliana Borcea and George Papanicolaou and Fernando Guevara Vasquez},
  journal={SIAM J. Imaging Sciences},
  year={2008},
  volume={1},
  pages={75-114}
}
We use the singular value decomposition of the array response matrix, frequency by frequency, to image selectively the edges of extended reflectors in a homogeneous medium. We show with numerical simulations in an ultrasound regime, and analytically in the Fraunhofer diffraction regime, that information about the edges is contained in the singular vectors for singular values that are intermediate between the large ones and zero. These transition singular vectors beamform selectively from the… CONTINUE READING
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