PT - JOURNAL ARTICLE
AU - Loran, Farhang
AU - Mostafazadeh, Ali
TI - Unidirectional invisibility and non-reciprocal transmission in two and three dimensions
DP - 2016 Jul 01
TA - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
VI - 472
IP - 2191
4099 - http://rspa.royalsocietypublishing.org/content/472/2191/20160250.short
4100 - http://rspa.royalsocietypublishing.org/content/472/2191/20160250.full
AB - 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.