TY - JOUR

T1 - Green's function theory for one-way particle chains

AU - Hadad, Y.

AU - Mazor, Y.

AU - Steinberg, Ben Z.

PY - 2013/1/23

Y1 - 2013/1/23

N2 - Recently, it has been shown that a new class of particle chains that support the simultaneous interplay of two-type rotations - geometric and electromagnetic - may possess strong nonreciprocity and one-way guiding effects. Here, we use the Z transform to develop a rigorous Green's function theory for these one-way chains. A study of the chain's spectra and its analytic properties in the complex spectral (Z) plane, where each and every singularity (e.g., pole, branch cut, etc.) represents a distinct wave phenomenon, reveals all the wave constituents that may be excited. We explore the breach of symmetry of the complex Z plane singularities and their manifestations as the symmetry breaking wave mechanisms that underly the one-way guiding effects. It is shown that this breach of symmetry in particle chains is possible only when both rotations - geometric and electromagnetic - are simultaneously present. It is also shown that the continuous spectrum (e.g., branch singularity) plays a pivotal role in suppressing the radiation into the "forbidden" direction.

AB - Recently, it has been shown that a new class of particle chains that support the simultaneous interplay of two-type rotations - geometric and electromagnetic - may possess strong nonreciprocity and one-way guiding effects. Here, we use the Z transform to develop a rigorous Green's function theory for these one-way chains. A study of the chain's spectra and its analytic properties in the complex spectral (Z) plane, where each and every singularity (e.g., pole, branch cut, etc.) represents a distinct wave phenomenon, reveals all the wave constituents that may be excited. We explore the breach of symmetry of the complex Z plane singularities and their manifestations as the symmetry breaking wave mechanisms that underly the one-way guiding effects. It is shown that this breach of symmetry in particle chains is possible only when both rotations - geometric and electromagnetic - are simultaneously present. It is also shown that the continuous spectrum (e.g., branch singularity) plays a pivotal role in suppressing the radiation into the "forbidden" direction.

UR - http://www.scopus.com/inward/record.url?scp=84872956431&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.87.035130

DO - 10.1103/PhysRevB.87.035130

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AN - SCOPUS:84872956431

SN - 1098-0121

VL - 87

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 3

M1 - 035130

ER -