often cited. However, his oscillator strength for the $^2S_{1/2} - \,^2P_{1/2}$ transition agrees with the results in [@JiangD2009a], but he acknowledges that his value for the $^2D_{3/2} - \,^2P_{1/2}$ transition probably is too large, which is why we chose to use the values of Jiang *et al.* [@JiangD2009a].

[l d c]{} Parameter & & Ref. No.\
$\mu_{P_{1/2},S_{1/2}}$ & 3.078 ea\_0 & [@JiangD2009a]\
$\mu_{P_{1/2},D_{3/2}}$ & 3.112 ea\_0 & [@JiangD2009a]\
$\Gamma$ & 135.58 10\^[6]{}\^[-1]{} & [@JiangD2009a]\
$A_g$ & 0.9444 & [@JiangD2009a]\
$\gamma_m$ & 2.30\^[-1]{} & [@Mannervik1999a]\

Using $I_i = \varepsilon_0 c \mathcal{E}_i^2 /2$, we can relate the two-level Rabi frequencies to the laser intensities $$\label{eq:Rabi_int}
    \Omega_i = \frac{\mu_i}{\hbar}\sqrt{\frac{2I_i}{\varepsilon_0 c}}, \quad i=\mathrm{c},\mathrm{r},$$ where $\mu_i$ is shorthand notation for the corresponding reduced dipole moment. This gives the numerical relations $\Omega_\mathrm{c}/\Gamma = (I_\mathrm{c}/39.8\;\text{mW}\text{cm}^{-2})^{1/2}$ and $\Omega_\mathrm{r}/\Gamma = (I_\mathrm{r}/39.0\;\text{mW}\text{cm}^{-2})^{1/2}$. The laser beams can be carefully adjusted, so we assume that the ion experiences the peak intensity of the Gaussian beam, $I_i=2P_i/\pi w_i^2$, where $P_i$ is the power and $w_i$ is the waist.

Berkeland and Boshier [@Berkeland2002a] recommend using the two-level Rabi frequencies $\Omega_\mathrm{c} \approx \Omega_\mathrm{r} \approx 3^{-1/2}\Gamma$ in order to obtain a reasonable scattering rate with little power broadening. However, considerably higher cooling laser Rabi frequencies have 