Recovering inhomogeneities in a waveguide using eigensystem decomposition

@article{Dediu2006RecoveringII,
  title={Recovering inhomogeneities in a waveguide using eigensystem decomposition},
  author={Sava Dediu and Joyce R. McLaughlin},
  journal={Inverse Problems},
  year={2006},
  volume={22},
  pages={1227-1246}
}
We present an eigensystem decomposition method to recover weak inhomogeneities in a waveguide from knowledge of the far-field scattered acoustic fields. Due to the particular geometry of the waveguide, which supports only a finite number of propagating modes, the problem of recovering inhomogeneities in a waveguide has a different set of challenges than the corresponding problem in free space. Our method takes advantage of the spectral properties of the far-field matrix, and by using its… 

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