Concept of imaging spin waves in pseudo-static mode by electron holography

We propose the concept of an experimental methodology based on electron holography to image spin waves in nano-objects with nanometer spatial resolution. Through micromagnetic simulations of spin-wave modes in model systems and reconstruction of the expected experimental electron hologram, we demonstrate that the local magnetization precession amplitude can be recovered in the magnetic phase image extracted from the hologram. Transmission electron microscopy thus enables the correlation of local magnetization precession maps with structural and chemical information, providing a more comprehensive understanding of spin dynamics at the nanoscale, a cornerstone toward the development of gigahertz magnonic devices. We also address experimental constraints related to electron microscopy and propose solutions to overcome them, making the implementation of this methodology feasible.