Garnet Wires as Optomagnonic Cavities

In this work we demonstrate our preliminary results on magneto-optic cylinders that may act as optomagnonic cavities. Particularly, we study bismuth-substituted yttrium iron garnet (Bi:YIG) cylinders of a few microns radius and infinite in the axial direction. At first, we present the concept of Zeeman split of optical Mie modes in a statically magnetized cylindrical wire. The solution of this electromagnetic problem is performed using a full-wave volume integral equation method which is capable of dealing with gyroelectric cylinders. The findings of this work can set the basis for a quasi-statical approach of the optomagnonic problem in such systems.