Titanium nitride as a plasmonic material for visible and near-infrared wavelengths [erratum]

Gururaj V. Naik; Jeremy L. Schroeder; Xingjie Ni; Alexander V. Kildishev; Timothy D. Sands; Alexandra Boltasseva

doi:10.1364/OME.3.001658

Abstract

We correct an error in figure 6 of our manuscript [Opt. Mater. Exp. 2, 478–489 (2012)] showing the propagation length and confinement width of surface-plasmon-polariton on metal/air interface.

We correct an error in the calculation of propagation length and mode size of surface plasmon-polariton (SPP) on metal/air interface provided in Fig. 6 of [1]. SPP propagation length (L _w) and confinement width (D _w) across an interface of a plasmonic material with air may be computed using the Eqs. 1 and 2.

L_{w} = 1 / Im (k_{0} \sqrt{\frac{ε_{m}}{ε_{m} + 1}})

D_{w} = {\begin{array}{l} δ_{D} & for & | ε_{m} | \geq e \\ δ_{D} + δ_{m} ln (e / | ε_{m} |) & for & | ε_{m} | < e \end{array}

where

δ_{D} = 1 / Re (k_{0} \sqrt{\frac{- 1}{ε_{m} + 1}})

and

δ_{m} = 1 / Re (k_{0} \sqrt{\frac{- ε_{m}^{2}}{ε_{m} + 1}})

, k ₀ = ω/c, and ε _m is the permittivity of the plasmonic material. δ _D and δ _m are the 1/e field decay in the dielectric and metal respectively. In Fig. 6 of [1], the propagation length and confinement width or mode size are computed incorrectly. This mistake has been corrected in Figure 1. We regret the error, although it does not alter the results, discussion, or conclusions of the paper.

Fig. 1 Comparison of the performance characteristics of SPP waveguides formed by the interface of air with titanium nitride-, gold (JC)- and gold with loss factor of 3.5: a) Propagation length (1/e field decay length along the propagation direction) b) Confinement width (1/e field decay widths as defined in Eq. (2)).

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References and links

1. G. Naik, J. Schroeder, X. Ni, A. Kildishev, T. Sands, and A. Boltasseva, “Titanium nitride as a plasmonic material for visible and near-infrared wavelengths optics,” Optical Materials Express 2, 478–489 (2012). [CrossRef]

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Figures (1)

Fig. 1

Fig. 1 Comparison of the performance characteristics of SPP waveguides formed by the interface of air with titanium nitride-, gold (JC)- and gold with loss factor of 3.5: a) Propagation length (1/e field decay length along the propagation direction) b) Confinement width (1/e field decay widths as defined in Eq. (2)).

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Equations (2)

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L_{w} = 1 / Im (k_{0} \sqrt{\frac{ε_{m}}{ε_{m} + 1}})

D_{w} = {\begin{array}{l} δ_{D} & for & | ε_{m} | \geq e \\ δ_{D} + δ_{m} ln (e / | ε_{m} |) & for & | ε_{m} | < e \end{array}