Surface spin waves in thin Permalloy films are studied by means of propagative spin wave spectroscopy. We observe a systematic difference of up to several tens of MHz when comparing the frequencies of counter-propagating waves. This frequency non-reciprocity effect is modeled using an analytical dipole-exchange theory that considers the mutual influence of non-reciprocal spin wave modal profiles and differences in magnetic anisotropies at the two film surfaces. At moderate film thickness (20 nm and below), the frequency non-reciprocity scales linearly with the wave vector and quadratically with the thickness, whereas a more complex non-monotonic behavior is observed at larger thickness. Our work suggests that surface wave frequency non-reciprocity can be used as an accurate spectroscopic probe of magnetic asymmetries in thin ferromagnetic films.
Spin-wave propagation in an assembly of microfabricated 20 nm thick, 2.5
{\mu}m wide Yttrium Iron Garnet (YIG) waveguides is studied using propagating
spin-wave spectroscopy (PSWS) and phase resolved micro-focused Brillouin Light
Scattering ({\mu}-BLS) spectroscopy. We show that spin-wave propagation in 50
parallel waveguides is robust against microfabrication induced imperfections.
Spin-wave propagation parameters are studied in a wide range of excitation
frequencies for the Damon-Eshbach (DE) configuration. As expected from its low
damping, YIG allows the propagation of spin waves over long distances (the
attenuation lengths is 25 {\mu}m at \mu$_{0}$H = 45 mT). Direct mapping of spin
waves by {\mu}-BLS allows us to reconstruct the spin-wave dispersion relation
and to confirm the multi-mode propagation in the waveguides, glimpsed by
propagating spin-wave spectroscopy
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