Spin wave modes in magnetic nanodisks under in-plane magnetic field
  The size dependence of spin wave modes in a circular Permalloy (Py) nanodisk under an in-plane magnetic field is systematically studied by using micromagnetics simulations. We show that as the disk diameter is increased, the resonance frequency of the backward mode deceases while that of the uniform mode increases. The avoided crossing of resonance frequencies of the uniform mode and the backward mode appears in the plot of the size dependence of resonance frequencies and the backward mode turns into the so-called "edge mode" for large nanodisks. 
T. Kaneko, S. M. Noh, K. Miyake, M. Sahashi, and H. Imamura
cond-mat.mes-hall