Magnonics addresses the physical properties of spin waves and utilizes them for data processing. Scalability down to atomic dimensions, operation in the GHz-to-THz frequency range, utilization of nonlinear and nonreciprocal phenomena, and compatibility with CMOS are just a few of many advantages offered by magnons. Although magnonics is still primarily positioned in the academic domain, the scientific and technological challenges of the field are being extensively investigated, and many proof-of-concept prototypes have already been realized in laboratories. This roadmap is a product of the collective work of many authors that covers versatile spin-wave computing approaches, conceptual building blocks, and underlying physical phenomena. In particular, the roadmap discusses the computation operations with Boolean digital data, unconventional approaches like neuromorphic computing, and the progress towards magnon-based quantum computing. The article is organized as a collection of sub-sections grouped into seven large thematic sections. Each sub-section is prepared by one or a group of authors and concludes with a brief description of current challenges and the outlook of further development for each research direction.

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Magneto-optical imaging with magneto-optical indicator films (MOIF) is a versatile method to characterize magnetic field distributions especially for material development and quality control. Magnetic domains and grains in grain-oriented electrical steel can be visualized, and quantified without removing the isolation layer. The combination of MOIF with digital high-speed camera technology enables temporally resolved investigations of the magnetization processes. In contrast to Kerr-effect measurements MOIF imaging works without sample preparation and even in the presence of industrial insulation coatings. Optical resolution of 25 microns and temporal resolution of 1 ms in single-shot mode could be demonstrated.

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