Faraday rotation, band splitting, and one-way propagation of plasmon waves on a nanoparticle chain

Abstract

Articles you may be interested inOvercoming the adverse effects of substrate on the waveguiding properties of plasmonic nanoparticle chains J. Appl. Phys. 119, 043101 (2016) We calculate the dispersion relations of plasmonic waves propagating along a chain of semiconducting or metallic nanoparticles in the presence of both a static magnetic field B and a liquid crystalline host. The dispersion relations are obtained using the quasistatic approximation and a dipole-dipole approximation to treat the interaction between surface plasmons on different nanoparticles. For plasmons propagating along a particle chain in a nematic liquid crystalline host with both B and the director parallel to the chain, we find a small, but finite, Faraday rotation angle. For B perpendicular to the chain, but director still parallel to the chain, the field couples the longitudinal and one of the two transverse plasmonic branches. This coupling is shown to split the two branches at the zero field crossing by an amount proportional to jBj. In a cholesteric liquid crystal host and an applied magnetic field parallel to the chain, the dispersion relations for left-and right-moving waves are found to be different. For some frequencies, the plasmonic wave propagates only in one of the two directions. V C 2016 AIP Publishing LLC.[http://dx

Spin waves on chains of YIG particles: dispersion relations, Faraday rotation, and power transmission

“…(A. 4) give two values of ω, which are equal and opposite (i. e., one is positive and one is negative). These solutions correspond to waves propagating with the same frequency but with wave vectors kẑ and −kẑ.…”

“…Such propagation occurs in the form of traveling waves, which are driven by electric dipole-dipole coupling between localized plasmon modes on neighboring nanoparticles 1,2 . The dispersion relations of such waves have been calculated by several authors within the quasistatic approximation 1,[3][4][5] . This approximation, which assumes that the dipole-dipole coupling is accurately described by electrostatics, is believed accurate when the spacing between particles is small compared to the wavelength of light at a typical plasmon frequency.…”