In extension of the slab model of Pollard and Millard ( 1970), we develop a simple model of the energetics of wind-driven near-inertial oscillations (NIO) in the mixed layer and the subsequent radiation of near-inertial internal waves (NIW) from the mixed layer base into the ocean. The present study has the aim to reveal and understand such dependencies with the help of an analytical model. ( 2016) give a first estimate of the parametric dependencies (on the local mixed layer depth and windstress amplitude) of the fraction using results from a global numerical ocean model. In the wave energy balance and mixing model IDEMIX (Olbers and Eden 2013 Eden and Olbers 2014), a constant fraction is implemented as well. ( 2013) and others used a constant value for this fraction to parameterize wave-induced mixing in circulation models. The radiative energy flux at the mixed layer base determines how much energy can be converted to turbulence in the interior of the ocean and made available for mixing the stratification. The fraction of the radiated flux to the surface flux of energy is thus of particular interest to ocean modelers. Most of this energy supply is expected to be dissipated in the ocean surface layer and used there for mixing and entrainment. In the center of the renewed interest in near-inertial waves in the recent decade is the power that near-inertial internal waves (NIW) supply to the ocean interior. The physics of near-inertial waves in the ocean and the observations, theory, and models have recently been reviewed by Alford et al. 2017), to diagnostics of high-resolution ocean models (e.g., Simmons and Alford 2012 Rimac et al. 2014 Wenegrat and McPhaden 2016) in the attempt to pin down the transfer function between the observed windstress and near-surface currents, via the applications of slab models of varying complexity (Pollard and Millard 1970 Whitt and Thomas 2015 Jing et al. Models that have been used to understand the energy budget in the mixed layer and the wave radiation in the stratified ocean below show a broad variety: They range from extensions of the classical Ekman spiral (e.g., Kroll 1975 Kim et al. These studies demonstrate that velocity fluctuations in the upper ocean below the mixed layer base are dominated by near-inertial frequency oscillations and are qualitatively consistent with internal wave kinematics. Notable observational results were obtained in the 1970s and 1980s (e.g., Leaman and Sanford 1975 Leaman 1976 Kundu 1976 Fu 1981 Price 1983 D’Asaro 1985) and later by the pioneering work of D’Asaro et al. The generation of near-inertial waves by windstress in the upper ocean has extensively been studied using observations and analytical and numerical models. The results of the model are satisfactorily validated with a realistic numerical model of the North Atlantic Ocean. The extended model predicts the energy transfer rates, both in physical and wavenumber-frequency space, associated with the wind forcing, dissipation in the mixed layer, and wave radiation at the base as function of a few parameters: mixed layer depth, Coriolis frequency and Brunt-Väisälä frequency below the mixed layer, and parameters of the applied windstress spectrum. Rayleigh damping, controlling the physics of the original slab model, is absent in the extended model and the wave-induced pressure gradient is resolved. An analytical slab model of the mixed layer used before in several studies is extended by consistent physics of wave radiation into the interior. Numerical and analytical models provide estimates of the energy transfer into the mixed layer and the fraction radiated into the interior, but with large uncertainties, which we aim to reduce in the present study. Surface windstress transfers energy to the surface mixed layer of the ocean, and this energy partly radiates as internal gravity waves with near-inertial frequencies into the stratified ocean below the mixed layer where it is available for mixing.