title: Unidirectional invisibility and non-reciprocal transmission in two and three dimensions.
abstract: We explore the phenomenon of unidirectional invisibility in two dimensions, examine its optical realizations and discuss its three-dimensional generalization. In particular, we construct an infinite class of unidirectionally invisible optical potentials that describe the scattering of normally incident transverse electric waves by an infinite planar slab with refractive-index modulations along both the normal directions to the electric field. A by-product of this investigation is a demonstration of non-reciprocal transmission in two dimensions. To elucidate this phenomenon, we state and prove a general reciprocity theorem that applies to quantum scattering theory of real and complex potentials in two and three dimensions.
authors: Department of Physics , Isfahan University of Technology , Isfahan 84156-83111, Iran.
authors: Farhang
authors: F
authors: Loran
authors: Departments of Mathematics and Physics , Koç University , 34450 Sarıyer, Istanbul, Turkey.
authors: Ali
authors: 0000-0002-0739-4060
authors: A
authors: Mostafazadeh
keywords: multidimensional transfer matrix; non-reciprocal transmission; reciprocity principle; scattering; unidirectional invisibility