Open Access
Add to BibSonomy
Abstract
We present a correction to parts of Fig. 5, Fig. 6 and Fig. 7, relating to the Purcell factors and Lamb shifts, due to an incorrect renormalization used in our custom Fortran code. The resulting corrections to some of the Q-factors are large, but do not affect the conclusions of the original manuscript.
© 2017 Optical Society of America
We have discovered that a subroutine used to produce some of the plots in the original manuscript contained a transcription error. The renormalization factor used for the modes contributing to the scattering Green’s function was missing a square root, which weakly affects the associated Purcell factors and Lamb shifts, predominantly at shorter wavelengths. The resulting correction to some of the the Q-factor values is larger – they are comparable to those observed in nanolasers, not higher as originally stated – but applications to nanolasing remain possible. All conclusions discussed in the manuscript remain unchanged by this correction. The data for the two particle case was unaffected. The corrected figures are presented here, and the corrected Q-factors are given in the caption for Fig. 1.
Fig. 1 Correction of Fig. 5 in [1]. (a–d) Solid blue lines: Purcell factors for the nanostructures in Figs. 2(a)–2(c) in [1]. (a–b) Dashed red lines: Purcell factors for the substrates without the nanorod. The resonant modes dominate the Purcell factors, but substrates and non-resonant modes determine the non-resonant background that can be seen at all wavelengths. The Q factors for the resonances are: (a) 11.45, 7.44; (b) 10.86, 6.47; (c) 11.94, 7.49
Fig. 2 Correction of Fig. 6 in [1]. Mode landscapes color coded according to the modal contributions to the Purcell factors, shown in Figs. 1(a)–1(c), for the same nanostructures in Figs. 2(a–c) in [1]. The modal decompositions of the scattering Green’s functions are found using the projectors. The axes of the plots are the same as those in Fig. 3 in [1].
Fig. 3 Correction of Fig. 7 in [1]. Solid blue lines (a–c): Photonic Lamb shifts of the emitter’s resonance frequency divided by the decay rate Γ0 for the nanostructures in Fig. 2. Dashed red lines (a–b): Photonic Lamb shifts for the substrates without the nanorod. The contribution of the resonant modes to the Photonic Lamb shifts has a dispersive type behaviour that is a consequence of causality.
References and links
1. D. McArthur, B. Hourahine, and F. Papoff, “Enhancing ultraviolet spontaneous emission with a designed quantum vacuum,” Opt. Express 25, 12189–12199 (2017). [CrossRef]
