Phase and Symmetry Control Strategies for Spin Wave Routing in Hybrid Magnonic Networks with a Central Resonator

Abstract

We investigate the spatial-frequency routing of surface magnetostatic waves in a cross-shaped yttrium iron garnet (YIG) structure featuring an integrated central circular resonator. Using micromagnetic simulations, we demonstrate that the geometric orientation of the waveguides relative to the external magnetic field dictates two fundamentally distinct operating regimes within the 4.8–5.6 GHz frequency range. In the 33° waveguide configuration, the system exhibits a phase-tolerant strategy where channel coherence is preserved across varying field angles. Signal routing in this regime is governed primarily by the excitation phase shift, yielding highly controllable Fano-like resonant interference. Conversely, the 57° configuration realizes a symmetry-critical strategy. Here, even a slight deviation of the magnetic field from the primary symmetry axis induces severe dispersion mismatch, transitioning the propagating modes into evanescent waves and effectively locking the transmission channels. This bifurcation in control mechanisms—phase-driven analog modulation versus symmetry-driven binary switching—originates from the competition between the continuous rotational symmetry of the central resonator and the discrete symmetry of the waveguide network. Our findings provide a robust physical framework for designing passive, reconfigurable magnonic demultiplexers and logic elements controlled solely by the in-plane magnetic field orientation and input phase. The proposed approach significantly advances the development of low-dissipation spin-wave computing architectures by eliminating the need for complex structural or mechanical modifications during device operation.

Speaker

Solyanov Alexey
Laboratory of Metamaterials
Russian

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