Inverse medium scattering for the Helmholtz equation at fixed frequency

@article{Bao2005InverseMS,
  title={Inverse medium scattering for the Helmholtz equation at fixed frequency},
  author={Gang Bao and Peijun Li},
  journal={Inverse Problems},
  year={2005},
  volume={21},
  pages={1621 - 1641}
}
Consider a time-harmonic electromagnetic plane wave incident on a medium enclosed by a bounded domain in . In this paper, existence and uniqueness of the variational problem for the direct scattering are established. An energy estimate for the scattered field is obtained on which the Born approximation is based. The Fréchet differentiability of the scattering map is examined. A new continuation method for the inverse medium scattering, which reconstructs the scatterer of an inhomogeneous medium… 
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