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An effective field model is introduced here within the micromagneticsformulation, to study roughness in magnetic structures, by consideringsub-exchange length roughness levels as a perturbation on a smooth structure.This allows the roughness contribution to be separated, which is found to giverise to an effective configurational anisotropy for both edge and surfaceroughness, and accurately model its effects with fine control over theroughness depth without the explicit need to refine the computational cellsizeto accommodate the roughness profile. The model is validated by comparisonswith directly roughened structures for a series of magnetization switching anddomain wall mobility simulations and found to be in excellent agreement forroughness levels up to the exchange length. The model is further applied tovortex domain wall mobility simulations with surface roughness, which is shownto significantly modify domain wall movement and result in dynamic pinning andstochastic creep effects.

Effective Field Model of Roughness in Magnetic Structures