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We consider the planar magnonic waveguide with a periodic sequence ofantidots forming zig-zag pattern, where two neighboring antidots are shiftedtowards the opposite edges of the waveguide. This system has a complex basewith two antidots in one unit cell. The Brillouin zone is here two-timesnarrower than the Brillouin zone for the waveguide without displacement ofantidots. We have shown that for dispersion relation folded into narrowerBrillouin zone, new frequency gap can be opened and their width can becontrolled by the shift of the antidots. We found that, the different strengthof spin wave pinning at the edges of the periodic waveguide (and theirantidots)determines the dependence of the width of gap on the shift ofantidots. For the systems with completely free or ideally pinned magnetization,these dependencies are qualitatively different. We have found an optimum shiftof antidot for maximzing the width of the gap for the system with pinnedmagnetization. More interestingly, we notice that for this kind of geometry ofthe structure, majority of the modes are doubly degenerate at the edge ofBrillouin zone and have a finite group velocity at the very close vicinity ofthe edge of Brillouin zone, for larger values of antidot shift. This empowersus to design magnonic waveguide to steer the spin waves.

Spin waves in periodic antidot waveguide of complex base