Spin waves are the collective excitations of the magnetization in the GHz-THz range in magnetic systems. They can be used both as promising information carriers for future devices or as a versatile probe for static and dynamic properties of magnetic systems, making them very interesting objects. However, their local investigation at a nanometer scale remains mostly unexplored because of experimental lacking. The goal of my project is to develop a completely new type of tip-enhanced scanning microscope sensitive to the local magnetization dynamics, which allows the probing and imaging of spin waves in thin films in the GHz-subTHz range with a nanometer resolution. The development of this table-top experiment is based on the combination and the synchronization of a tip-enhanced atomic force microscope (AFM) and a Brillouin light spectroscope (BLS). This new approach will gain new insight in the field of magnetic systems by probing local spin waves dynamics. In particular, it will give the possibility to aboard new subjects of studies inaccessible in laboratory without that setup such as the organization of spin waves in nano-objects (patterned films, magnetic textures), the imaging of the antiferromagnetic order or the local coupling between magnetic and structural orders in complex systems. Finally, this technique is compatible with a wide sample environment allowing, in the long term, the local study of the spin waves response to external stimuli. The development of this unique, innovative and ambitious setup will give me the opportunity to start my own experimental research and attract students and collaborators at a local, national and international level.