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In spintronics the propagation of spin-wave excitations in magneticallyordered materials can also be used to transport and process information. One ofthe most popular materials in this regard is the ferrimagnetic insulatoryttrium-iron-garnet due its exceptionally small spin-wave damping parameter.While the small relaxation rate allows for large propagation length of magneticexcitations, it also leads to non-locality of the magnetic properties. Byimaging spin waves their band structure is mapped. In doing so wave vectorselection is shown to suppress dispersion effects to a large extent allowingfor local measurements of spin relaxation. Moreover we demonstrate even highercontrol of magnon propagation by employing the wave vector selectivity near anavoided crossing of different spin-wave modes where the group velocityapproaches zero. Here local engineering of the dispersion allows constructingmagnonic waveguides and at the same time reveals the local relaxationproperties.

Spin wave localization and guiding by magnon band structure engineering in yttrium iron garnet