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When the surface plasmon resonance in a metal-nanoparticle chain is excitedat one point, the response signal will generally decay down the chain due toabsorption and radiation losses. The decay length is a key parameter in suchplasmonic systems. By studying the plasmon lattice Green's function, we foundthat the decay length is generally governed by two exponential decay constantswith phase factors corresponding to guided Bloch modes and one power-law decaywith a phase factor corresponding to that of free space photons. The resultsshow a high level of similarity between the absorptive and radiative decaychannels. By analyzing the poles (and the corresponding residues) of theGreen's function in a transformed complex reciprocal space, the dominant decaychannel of the real-space Green's function is understood.

Complex band structure and plasmon lattice Green's function of a periodic metal-nanoparticle chain