Correction to: Nature Communications https://doi.org/10.1038/s41467-017-02500-5, published online 31 January 2018

The original PDF version of this Article contained errors in Equations 1 and 2. Both equations omitted all Γ terms, and incorrectly read:

$$I_m\left( {{\mathbf{r}},E_{{\mathrm{ex}}},\omega } \right) = \mathop {\sum }\limits_{h = 1}^H a_h({\mathbf{r}},E_{{\mathrm{ex}}})\frac{{\,_h({\mathbf{r}},E_{{\mathrm{ex}}})/2}}{{i\left( {\omega - \omega _h\left( {{\mathbf{r}},E_{{\mathrm{ex}}}} \right)} \right) + \,_h({\mathbf{r}},E_{{\mathrm{ex}}})/2}}$$
(1)
$$\min \,F = \sqrt {\frac{1}{S}\mathop {\sum }\limits_{S = 1}^S ||I_e\left( {\omega _s} \right) - I_m(\omega _s,a_h, \omega _h,_h)||^2}$$
(2)

The correct form of Equations 1 and 2 are:

$$I_m\left( {{\mathbf{r}},E_{{\mathrm{ex}}},\omega } \right) = \mathop {\sum }\limits_{h = 1}^H a_h({\mathbf{r}},E_{{\mathrm{ex}}})\frac{{\Gamma _h({\mathbf{r}},E_{{\mathrm{ex}}})/2}}{{i\left( {\omega - \omega _h\left( {{\mathbf{r}},E_{{\mathrm{ex}}}} \right)} \right) + \Gamma _h({\mathbf{r}},E_{{\mathrm{ex}}})/2}}$$
(1)
$$\min \,F = \sqrt {\frac{1}{S}\mathop {\sum }\limits_{S = 1}^S || I_e\left( {\omega _s} \right) - I_m(\omega _s,a_h,\omega _h,\Gamma _h) || ^2}$$
(2)

This has been corrected in the PDF version of the Article. The HTML version was correct from the time of publication.