Magnonic Fabry-P\'{e}rot resonators as programmable phase shifters

We explore the use of magnonic Fabry-P\'erot resonators as programmable phase shifters for spin-wave computing. The resonator, composed of a yttrium iron garnet (YIG) film coupled with a CoFeB nanostripe, operates through dynamic dipolar coupling, leading to wavelength downconversion and the formation of a magnonic cavity. Using super-Nyquist sampling magneto-optical Kerr effect (SNS-MOKE) microscopy and micromagnetic simulations, we demonstrate that these resonators can induce a $\pi$ phase shift in the transmitted spin wave. The phase shift is highly sensitive to the magnetization alignment within the resonator, allowing for on-demand control via magnetic switching. This feature, combined with low-loss transmission, positions the magnonic Fabry-P\'erot resonator as a promising component for reconfigurable magnonic circuits and spin-wave computing devices.