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By means of the plane wave method, we study nonuniform, i.e., mode- andk-dependent, effects in the spin-wave spectrum of a two-dimensional bicomponentmagnonic crystal. We use the crystal based on a hexagonal lattice squeezed inthe direction of the external magnetic field wherein the squeezing applies tothe lattice and the shape of inclusions. The squeezing changes both thedemagnetizing field and the spatial confinement of the excitation, which maylead to the occurrence of an omnidirectional magnonic band gaps. In particular,we study the role played by propagational effects, which allows us to explainthe k-dependent softening of modes. The effects we found enabled us not only todesign the width and position of magnonic band gaps, but also to plan theirresponse to a change in the external magnetic field magnitude. This allows thereversible tuning of magnonic band gaps, and it shows that the studiedstructures are promising candidates for designing magnonic devices that aretunable during operation.

Reversible tuning of omnidirectional band gaps in two-dimensional magnonic crystals by magnetic field and in-plane squeezing