Transfer-matrix formulation of the scattering of electromagnetic waves and broadband invisibility in three dimensions

@article{Loran2019TransfermatrixFO,
  title={Transfer-matrix formulation of the scattering of electromagnetic waves and broadband invisibility in three dimensions},
  author={Farhang Loran and Ali Mostafazadeh},
  journal={arXiv: Quantum Physics},
  year={2019}
}
We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering medium or discretization of some of the position- or momentum-space variables. This is a linear operator that we can express as a $4\times 4$ matrix with operator entries and identify with the S-matrix of an effective nonunitary quantum system. We use this… 
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