Inverse problem in transformation optics

@article{Novitsky2011InversePI,
  title={Inverse problem in transformation optics},
  author={Andrey Novitsky},
  journal={Journal of Optics},
  year={2011},
  volume={13},
  pages={035104}
}
  • A. Novitsky
  • Published 1 February 2011
  • Mathematics
  • Journal of Optics
The straightforward method of transformation optics implies that one starts from the coordinate transformation and determines the Jacobian matrix, the fields and material parameters of the cloak. However, the coordinate transformation appears as an optional function: it is not necessary to know it. We offer the solution of some sort of inverse problem: starting from the fields in the invisibility cloak we directly derive the permittivity and permeability tensors of the cloaking shell. This… 

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