# 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…

## 6 Citations

Fundamental transfer matrix and dynamical formulation of stationary scattering in two and three dimensions

- PhysicsPhysical Review A
- 2021

We offer a consistent dynamical formulation of stationary scattering in two and three dimensions that is based on a suitable multidimensional generalization of the transfer matrix. This is a linear…

Transfermatrix in scattering theory: a survey of basic properties and recent developments

- Physics, MathematicsTURKISH JOURNAL OF PHYSICS
- 2020

We give a pedagogical introduction to time-independent scattering theory in one dimension focusing on the basic properties and recent applications of transfer matrices. In particular, we begin…

Dynamical formulation of low-energy scattering in one dimension

- Physics
- 2021

The transfer matrix M of a short-range potential may be expressed in terms of the timeevolution operator for an effective two-level quantum system with a time-dependent nonHermitian Hamiltonian. This…

Propagation of electromagnetic waves in stationary anisotropic media

- PhysicsPhysica Scripta
- 2021

In this paper we have investigated the fundamental properties of the solutions of Maxwell’s equations describing free electromagnetic waves in stationary anisotropic media, with tensor…

Transfer matrix for long-range potentials

- Physics, Mathematics
- 2020

We extend the notion of the transfer matrix of potential scattering to a large class of long-range potentials $v(x)$ and derive its basic properties. We outline a dynamical formulation of the…

Transmission of low-energy scalar waves through a traversable wormhole

- Physics
- 2020

We study the scattering of low-energy massless and massive minimally coupled scalar fields by an asymptotically flat traversable wormhole. We provide a comprehensive treatment of this problem…

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