FMR Modes of the Bubble Domain Lattice in Garnet Films Magnetized along the Normal

Ferromagnetic resonance experiments on films of YIG doped with Bi and varied Ga contents show three domain resonance modes in a wide range of dc fields applied normal to the film plane. A theoretical analysis is given based on the coupling of three elementary modes of hf magnetization (uniform modes in the bubbles and matrix and a non-uniform mode in the matrix which is driven by hf stray fields, in agreement with recent numerical model solutions). The results indicate principal agreement between theory and experiment (including the previous measurements where only two of the three modes are reported).