Abstract

We present a correction to Eq. (42) in Adv. Opt. Photon. 12, 612 (2020) [CrossRef]  .

© 2021 Optica Publishing Group

Equation (42) of Ref. [1] has a sign-error in the second term as well as a missing “‡” on the left hand side. The correct equation is

$$\begin{split}\langle \langle {\underline {\tilde {\textbf F}} _m^{{\ddagger}}({\textbf r})|{{\underline {\tilde {\textbf F}}}_m}({\textbf r})} \rangle \rangle &= \frac{1}{{2{\epsilon _0}}}\int_V {{\epsilon _0}{\epsilon _{\rm r}}({\textbf r}){{\tilde {\textbf f}}_m}({\textbf r}) \cdot {{\tilde {\textbf f}}_m}({\textbf r}) - {\mu _0}{{\tilde {\textbf g}}_m}({\textbf r}) \cdot {{\tilde {\textbf g}}_m}({\textbf r}){\rm d}V} \\ &\quad+ \frac{\rm i}{{2{\epsilon _0}{{\tilde \omega}_m}}}\int_{\partial V} {[{{{\tilde {\textbf f}}_m}({\textbf r}) \times [r{\partial _r}{{\tilde {{\textbf g}}}_m}({\textbf r})] - [r{\partial _r}{{\tilde {\textbf f}}_m}({\textbf r})] \times {{\tilde {\textbf g}}_m}({\textbf r})}] \cdot \hat {\textbf n}\,{\rm d}A.} \end{split}$$

The error does not impact other results or calculations in Ref. [1].

References

1. P. T. Kristensen, K. Herrmann, F. Intravaia, and K. Busch, “Modeling electromagnetic resonators using quasinormal modes,” Adv. Opt. Photon. 12, 612–708 (2020). [CrossRef]  

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Equations (1)

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F ~ _ m ( r ) | F ~ _ m ( r ) = 1 2 ϵ 0 V ϵ 0 ϵ r ( r ) f ~ m ( r ) f ~ m ( r ) μ 0 g ~ m ( r ) g ~ m ( r ) d V + i 2 ϵ 0 ω ~ m V [ f ~ m ( r ) × [ r r g ~ m ( r ) ] [ r r f ~ m ( r ) ] × g ~ m ( r ) ] n ^ d A .

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