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• W2913593175 abstract "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 $4times 4$ matrix with operator entries and identify with the S-matrix of an effective nonunitary quantum system. We use this observation to establish the composition property of $mathbf{M}$, obtain an exact solution of the scattering problem for a non-magnetic point scatterer that avoids the divergences of the Green's function approaches, and prove a general invisibility theorem. The latter allows for an explicit characterization of a class of isotropic media ${cal M}$ displaying perfect broadband invisibility for electromagnetic waves of arbitrary polarization provided that their wavenumber $k$ does not exceed a preassigned critical value $alpha$, i.e., ${cal M}$ behaves exactly like vacuum for $kleqalpha$. Generalizing this phenomenon, we introduce and study $alpha$-equivalent media that, by definition, have identical scattering features for $kleqalpha$." @default.
• W2913593175 created "2019-02-21" @default.
• W2913593175 creator A5032645613 @default.
• W2913593175 creator A5063828115 @default.
• W2913593175 date "2020-03-31" @default.
• W2913593175 modified "2023-09-30" @default.
• W2913593175 title "Transfer-matrix formulation of the scattering of electromagnetic waves and broadband invisibility in three dimensions" @default.
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• W2913593175 doi "https://doi.org/10.1088/1751-8121/ab7669" @default.
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