  We investigate numerically and analytically the intensity dependence of the
fraction of electrons that end up in a Rydberg state after strong-field
ionization with linearly polarized light. We find that including the intensity
dependent distribution of ionization times and non-adiabatic effects leads to a
better understanding of experimental results. Furthermore, we observe using
Classical Trajectory Monte Carlo simulations that the intensity dependence of
the Rydberg yield changes with wavelength and that the previously observed
power-law dependence breaks down at longer wavelengths. Our work suggests that
Rydberg yield measurements can be used as an independent test for
non-adiabaticity in strong field ionization.
