Tunability of non-plasmon resonances in e-polarized terahertz wave scattering from microsize graphene strip-on-substrate grating: erratum

Fedir O. Yevtushenko; Sergii V. Dukhopelnykov; Sergii V. Dukhopelnykov; Sergii V. Dukhopelnykov; Yuriy G. Rapoport; Tatiana L. Zinenko; Ronan Sauleau; Alexander I. Nosich

doi:10.1364/OME.502276

Abstract

We correct mistakes in [Opt. Mater. Express 13, 2274 (2023) [CrossRef] ]. These corrections lead to the re-phrasing of the conclusions of the original paper.

Errata

This erratum corrects Eq. (25) of [1]. It is now replaced by the following version:

(25)$$\kappa _{m0}^{L + } = m - \frac{1}{{8m}}{\left[ {{m^2}\xi (\varepsilon - 1) - \frac{{p\Omega S_{m\,m}^ + (s)}}{{2\pi c}}\left( {1 - \frac{{ip}}{{2\pi mc\tau }}} \right)} \right]^{\,2}} + O({{\xi^2},{Z^{\, - 2}}} )= 0,$$

This erratum corrects Eq. (27) of [1] and the preceding line of text. It is now replaced by the following version:

Finally, we see that the Q-factors of the lattice modes, defined as $Q_{m0}^{L + } ={-} \textrm{Re} \kappa _{m0}^{L + }/2{\mathop{\rm Im}\nolimits} \kappa _{m0}^{L + }$ provided that the mode is on the top sheet of the corresponding RA, are given by

(27)$$Q_{m0}^{L + } = \frac{{8{\pi ^2}{m^3}{c^2}\tau }}{{{p^2}\Omega S_{m\,m}^ + }}\left\{ {1 - \frac{1}{{4{m^2}}}{{\left[ {{m^2}\xi (\varepsilon - 1) - \frac{{p\Omega S_{m\,m}^ + (s)}}{{2\pi c}}} \right]}^2}} \right\}{\left[ {{m^2}\xi (\varepsilon - 1) - \frac{{p\Omega S_{m\,m}^ + (s)}}{{2\pi c}}} \right]^{ - 1}}$$

The corrections made above lead to refinement of the text in the third block of Conclusions as follows:

This analysis shows that if the graphene strip grating is suspended in the free space, then the E-polarized lattice mode poles are located on the bottom sheets of the corresponding RAs, which are the field function branch points. If the grating is supported by a whatever thin dielectric substrate, their complex-frequency poles get shifted to the red side and can emerge on the top sheets. The shift from RAs is controlled by the wave length of the guided waves of the dielectric slab substrate.

Funding

National Research Foundation of Ukraine (2020-02-150).

Disclosures

The authors declare no conflicts of interest.

Data availability

Corrected Eqs. (25) and (27) may be readily reproduced by the reader by using the expressions and formulas explicitly provided in the paper.

References

1. F. O. Yevtushenko, S. V. Dukhopelnykov, Y. G. Rapoport, T. L. Zinenko, R. Sauleau, and A. I. Nosich, “Tunability of non-plasmon resonances in E-polarized terahertz wave scattering from microsize graphene strip-on-substrate grating,” Opt. Mater. Express 13(8), 2274–2287 (2023). [CrossRef]

Previous Article Next Article

Data availability

Corrected Eqs. (25) and (27) may be readily reproduced by the reader by using the expressions and formulas explicitly provided in the paper.

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

κ_{m 0}^{L +} = m - \frac{1}{8 m} {[m^{2} ξ (ε - 1) - \frac{p Ω S_{m m}^{+} (s)}{2 π c} (1 - \frac{i p}{2 π m c τ})]}^{2} + O (ξ^{2}, Z^{- 2}) = 0,

Q_{m 0}^{L +} = \frac{8 π^{2} m^{3} c^{2} τ}{p^{2} Ω S_{m m}^{+}} {1 - \frac{1}{4 m^{2}} {[m^{2} ξ (ε - 1) - \frac{p Ω S_{m m}^{+} (s)}{2 π c}]}^{2}} {[m^{2} ξ (ε - 1) - \frac{p Ω S_{m m}^{+} (s)}{2 π c}]}^{- 1}

Fedir O. Yevtushenko	https://orcid.org/0000-0003-3119-8315
Sergii V. Dukhopelnykov	https://orcid.org/0000-0002-0639-988X
Alexander I. Nosich	https://orcid.org/0000-0002-3446-8168

Abstract

Errata

Funding

Disclosures

Data availability

References

Data availability

Cited By

Equations (2)

Optical Materials Express