High frequency optomechanical disk resonators in III&#x02013;V ternary semiconductors: erratum

Biswarup Guha; Silvia Mariani; Aristide Lemaître; Sylvain Combrié; Giuseppe Leo; Ivan Favero

doi:10.1364/OE.27.012182

Abstract

An erratum is presented to correct for a typo in the appendix of the original article.

There was a typo in the appendix of the subject paper [1], where the original Eq. 4 must read:

\begin{array}{l} Γ_{m, eff} = Γ_{m} [1 + \frac{{| < a > |}^{2} g_{0}^{2}}{Γ_{m}} {\frac{κ}{{(Δ ω + ω_{m})}^{2} + \frac{κ^{2}}{4}} - \frac{κ}{{(Δ ω - ω_{m})}^{2} + \frac{κ^{2}}{4}}} \\ + \frac{{| < a > |}^{2} g_{0}}{Γ_{m}} \frac{F_{pth}^{1} x_{zpf}}{ℏ (1 + ω_{m}^{2} τ_{th}^{2})} {\frac{κ - 2 (Δ ω + ω_{m}) ω_{m} τ_{th}}{{(Δ ω + ω_{m})}^{2} + \frac{κ^{2}}{4}} - \frac{κ + 2 (Δ ω - ω_{m}) ω_{m} τ_{th}}{{(Δ ω - ω_{m})}^{2} + \frac{κ^{2}}{4}}}] \end{array}

with

x_{zpf} = \sqrt{\frac{ℏ}{2 m_{eff} ω_{m}}}

and g₀ = g_omx_zpf. Note that in the limit (

\frac{1}{τ_{th}}

, ω_m) << κ, this formula coincides with earlier expressions established within a delayed force model of optomechanics [2, 3]. Note as well that the GaAs phoelastic coefficient p₄₄ quoted in Table 3 must read −0.072 instead of −0.172.

References

1. B. Guha, S. Mariani, A. Lemaître, S. Combrié, G. Leo, and I. Favero, “High frequency optomechanical disk resonators in III–V ternary semiconductors,” Opt. Express 25(20), 24639–24649 (2017). [CrossRef] [PubMed]

2. C. Metzger, I. Favero, A. Ortlieb, and K. Karrai, “Optical self cooling of a deformable Fabry-Perot cavity in the classical limit,” Physical Review B 78(3), 035309 (2008). [CrossRef]

3. J. Restrepo, J. Gabelli, C. Ciuti, and I. Favero, “Classical and quantum theory of photothermal cavity cooling of a mechanical oscillator,” Comptes Rendus Physique 12, 860 (2011). [CrossRef]

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\begin{array}{l} Γ_{m, eff} = Γ_{m} [1 + \frac{{| < a > |}^{2} g_{0}^{2}}{Γ_{m}} {\frac{κ}{{(Δ ω + ω_{m})}^{2} + \frac{κ^{2}}{4}} - \frac{κ}{{(Δ ω - ω_{m})}^{2} + \frac{κ^{2}}{4}}} \\ + \frac{{| < a > |}^{2} g_{0}}{Γ_{m}} \frac{F_{pth}^{1} x_{zpf}}{ℏ (1 + ω_{m}^{2} τ_{th}^{2})} {\frac{κ - 2 (Δ ω + ω_{m}) ω_{m} τ_{th}}{{(Δ ω + ω_{m})}^{2} + \frac{κ^{2}}{4}} - \frac{κ + 2 (Δ ω - ω_{m}) ω_{m} τ_{th}}{{(Δ ω - ω_{m})}^{2} + \frac{κ^{2}}{4}}}] \end{array}

High frequency optomechanical disk resonators in III–V ternary semiconductors: erratum

Abstract

References

Cited By

Equations (1)

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