2 01 4 Mazor Steinberg . Meta - Weaves : Sector - way non - reciprocal meta surfaces

Confluent with the single dimension of time, breach of time-reversal symmetry is usually perceived as a one-dimensional concept. In its ultimate realization–the one-way guiding device–it allows optical propagation in one direction, say +z, and forbids it in the opposite direction, −z. Hence, in studies of time-reversal asymmetry the mapping t 7→ −t is naturally associated with z 7→ −z. However, strongly non-reciprocal or one-way nano-scale threads can be used to weave meta-surfaces thus adding dimensions to this concept. In this new family of surfaces the aforementioned association cannot be made. An example of appropriate threads are the planar one-way particle chains based on the two-type rotation principle. The resulting surfaces–the meta-weaves–posses generalized nonreciprocity such as “sector-way” propagation, and offer new possibilities for controlling light in thin surfaces. We study several meta-weave designs and their asymmetries in the wave-vector space.