TY - JOUR

T1 - Green's function theory for infinite and semi-infinite particle chains

AU - Hadad, Y.

AU - Steinberg, Ben Z.

PY - 2011/9/1

Y1 - 2011/9/1

N2 - A Green's function theory for the excitation of, and scattering from, particle chains is developed. A Z transform is applied to the discrete dipole approximation of the chain, and the chain's spectral properties are explored in the complex Z plane. It is shown that a continuous spectrum may be excited, and the roles of the discrete and continuous spectra in the chain response are studied. The latter may dominate the chain response under lossy conditions. Using the Wiener-Hopf technique, the theory is extended to semi-infinite chains and the chain edge effects are studied. It is shown that edge effects can significantly enhance chain excitation.

AB - A Green's function theory for the excitation of, and scattering from, particle chains is developed. A Z transform is applied to the discrete dipole approximation of the chain, and the chain's spectral properties are explored in the complex Z plane. It is shown that a continuous spectrum may be excited, and the roles of the discrete and continuous spectra in the chain response are studied. The latter may dominate the chain response under lossy conditions. Using the Wiener-Hopf technique, the theory is extended to semi-infinite chains and the chain edge effects are studied. It is shown that edge effects can significantly enhance chain excitation.

UR - http://www.scopus.com/inward/record.url?scp=80053895282&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.84.125402

DO - 10.1103/PhysRevB.84.125402

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:80053895282

SN - 1098-0121

VL - 84

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

IS - 12

M1 - 125402

ER -