{ "id": "1605.08931", "version": "v1", "published": "2016-05-28T19:50:13.000Z", "updated": "2016-05-28T19:50:13.000Z", "title": "Magnon Waves on Chains of YIG particles: Dispersion Relations, Faraday Rotation, and Power Transmission", "authors": [ "Nicholas A. Pike", "David Stroud" ], "comment": "8 pages, 5 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We calculate the dispersion relations for magnon waves on a periodic chain of spherical or cylindrical Yttrium Iron Garnet (YIG) particles. We use the quasistatic approximation, appropriate when $kd \\ll 1$, where $k$ is the wave number and $d$ the interparticle spacing. In this regime, because of the magnetic dipole-dipole interaction between the localized magnetic excitations on neighboring particles, dispersive magnon waves can propagate along the chain. The waves are analogous to plasmonic waves generated by electric dipole-dipole interactions between plasmons on neighboring metallic particles. The magnon waves can be longitudinal ($L$), transverse ($T$), or elliptically polarized. We find that a linearly polarized magnon wave undergoes a Faraday rotation as it propagates along the chain. The amount of Faraday rotation can be tuned by varying the off-diagonal component of the permeability tensor. We also discuss the possibility of wireless power transmission along the chain using these coupled magnon waves.", "revisions": [ { "version": "v1", "updated": "2016-05-28T19:50:13.000Z" } ], "analyses": { "keywords": [ "faraday rotation", "dispersion relations", "power transmission", "yig particles", "linearly polarized magnon wave undergoes" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }