Abstract The properties of an extreme ultraviolet (EUV) source driven by hundreds-of-nanoseconds-long laser pulses of $\lambda_{laser} =$ 2 \textmu m wavelength are investigated through radiation-hydrodynamic simulations. We show that single-pulse irradiation of 30 \textmu m-diameter tin droplets can generate in-band energies $\sim 30$ mJ directed in the 2$\pi$ solid angle subtended by the collector mirror, yielding energies $\sim$ 100 mJ produced from 45 \textmu m-diameter droplets. Time-integrated in-band EUV emission profiles, generated by taking Abel transforms of the local net in-band emissivity, reveal EUV source sizes in the axial (laser) direction $ \times $ radial direction of $\sim$ 600 (1000) $\times$ 100 (150) \textmu m$^{2}$ for 30 (45) \textmu m-diameter droplets. We find that approximately 74\% of the total in-band emission is produced during the first half of the total propulsion distance irrespective of droplet size or laser intensity. Furthermore, we propose a one-dimensional analytical propulsion model to qualitatively explain the simulated droplet trajectory and to predict the time taken for the droplet to vaporize. % show that the derived relation between laser intensity and vaporization rate yields a reliable prediction for the time at which the droplet fully vaporizes. 
These findings offer motivation for the development of high-power EUV sources based on single-pulse, hundreds-of-nanoseconds-long irradiation of tin droplets.