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As research into magnetic thin films and spintronics devices is moving fromsingle to multiple magnetic layers, there is a need for micromagneticsmodelling tools specifically designed to efficiently handle magneticmultilayers. Here we show an exact method of computing demagnetising fields inmagnetic multilayers, which is able to handle layers with arbitrary spacing,arbitrary thicknesses, and arbitrary relative positioning between them withoutimpacting on the computational performance, or sacrificing numerical accuracy.The multilayered convolution method is a generalisation of the well-knownconvolution method used to compute demagnetising fields in a single magneticbody. In typical use cases, such as multilayered stacks used to studyskyrmions, we show the multilayered convolution method can be up to 8 timesfaster, implemented both for central processors and graphics processors,compared to the simple convolution method.

Efficient computation of demagnetising fields for magnetic multilayers using multilayered convolution