Using Poisson's method the demagnetization energy of magnetic dipole distributions is formulated and the equations are solved for the special case of doubly periodic distributions in infinite plates having arbitrary components of magnetization. As an example the energy of a simple bubble lattice with charged domain walls is calculated.

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The equations of motion for radial oscillations of cylindrical domains (bubbles) are formulated for both a close packed hexagonal arrangement of bubbles and an isolated bubble. The non‐linear differential equation is then linearized and solved in the small oscillation approximation. For the case of the isolated bubble the solution is presented together with graphs and an extensive discussion. Equations and graphs determining the resonance frequency and the wall damping as a function of bubble diameter and material parameters are presented.

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