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Spin waves modes in magnetic waveguides with width down to 320 nm have beenstudied by electrical propagating spin-wave spectroscopy and micromagneticsimulations for both longitudinal and transverse magnetic bias fields. Forlongitudinal bias fields, a 1.3 GHz wide spin-wave band was observed inagreement with analytical dispersion relations for uniform magnetization.However, transverse bias field led to several distinct bands, corresponding todifferent quantized width modes, with both negative and positive slopes.Micromagnetic simulations showed that, in this geometry, the magnetization wasnonuniform and tilted due to the strong shape anisotropy of the waveguides.Simulations of the quantized spin-wave modes in such nonuniformly magnetizedwaveguides resulted in spin wave dispersion relations in good agreement withthe experiments.

Electrical spin-wave spectroscopy in nanoscale waveguides with nonuniform magnetization