Supplementary figures 1-8

simulated microwave response of different antidot lattice geometries (Fig. S1), BLS spectra at various fields for different antidot lattice geometries (Fig. S2), Decay characteristics of spin waves in square and honeycomb lattices (Fig. S3), BLS spectra and 2D spatial maps for the reference waveguide without antidots (Fig. S4), BLS spectra of different waveguides (Fig. S5), Demagnetizing field profiles of antidot lattices (Fig. S6), 2D spatial maps of harmonic modes in rhomboid lattice (Fig. S7) and Power dependence on harmonic intensities (Fig. S8).