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We present a method for efficient spin wave guiding within the magnonicnanostructures. Our technique is based on the anomalous refraction in themetamaterial flat slab. The gradual change of the material parameters(saturation magnetization or magnetic anisotropy) across the slab allowstilting the wavefronts of the transmitted spin waves and controlling therefraction. Numerical studies of the spin wave refraction are preceded by theanalytical calculations of the phase shift acquired by the spin wave due to thechange of material parameters in a confined area. We demonstrate that ourfindings can be used to guide the spin waves smoothly in curved waveguides,even through sharp bends, without reflection and scattering between differentwaveguide's modes, preserving the phase -- the quantity essential for wavecomputing.

An anomalous refraction of spin waves as a way to guide signals in curved magnonic multimode waveguides