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Surface acoustic waves (SAWs) are excited by femtosecond extreme ultraviolet(EUV) transient gratings (TGs) in a room-temperature ferrimagnetic DyCo$_5$alloy. TGs are generated by crossing a pair of EUV pulses from a free electronlaser (FEL) with the wavelength of 20.8\,nm matching the Co $M$-edge, resultingin a SAW wavelength of $\Lambda=44$\,nm. Using the pump-probe transient gratingscheme in a reflection geometry the excited SAWs could be followed in the timerange of -10 to 100\,ps in the thin film. Coherent generation of TGs byultrafast EUV pulses allows to excite SAW in any material and to investigatetheir couplings to other dynamics such as spin waves and orbital dynamics.

Transient grating spectroscopy on a DyCo$_5$ thin film with femtosecond extreme ultraviolet pulses