Planar photonic crystal based multifunctional sensors:
publisher&#x2019;s note

Yongyao Chen; Haijun Liu; Zhijian Zhang; Ashwani K. Gupta; Miao Yu

doi:10.1364/AO.56.002397

Abstract

This note points out a missed correction to the math on p. 1779 of Appl. Opt. 56, 1775 (2017) [CrossRef] .

In Ref. [1], a correction to Eq. (10) was missed:

(\begin{array}{l} Δ T \\ Δ P \end{array}) = K_{T P}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) = {(\begin{matrix} K_{P 0} & K_{P 4} \\ K_{T 0} & K_{T 4} \end{matrix})}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) \times \frac{1}{K_{T o} K_{P 4} - K_{P o} K_{T 4}} (\begin{matrix} K_{P 4} & - K_{P o} \\ - K_{T 4} & K_{T o} \end{matrix}) (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) .

It should read:

(\begin{array}{l} Δ T \\ Δ P \end{array}) = K_{T P}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) = {(\begin{matrix} K_{P 0} & K_{P 4} \\ K_{T 0} & K_{T 4} \end{matrix})}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) = \frac{1}{K_{T o} K_{P 4} - K_{P o} K_{T 4}} (\begin{matrix} K_{P 4} & - K_{P o} \\ - K_{T 4} & K_{T o} \end{matrix}) (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) .

The article was corrected online on 23 February, 2017.

REFERENCE

1. Y. Chen, H. Liu, Z. Zhang, A. K. Gupta, and M. Yu, “Planar photonic crystal based multifunctional sensors,” Appl. Opt. 56, 1775–1780 (2017). [CrossRef]

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(\begin{array}{l} Δ T \\ Δ P \end{array}) = K_{T P}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) = {(\begin{matrix} K_{P 0} & K_{P 4} \\ K_{T 0} & K_{T 4} \end{matrix})}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) \times \frac{1}{K_{T o} K_{P 4} - K_{P o} K_{T 4}} (\begin{matrix} K_{P 4} & - K_{P o} \\ - K_{T 4} & K_{T o} \end{matrix}) (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) .

(\begin{array}{l} Δ T \\ Δ P \end{array}) = K_{T P}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) = {(\begin{matrix} K_{P 0} & K_{P 4} \\ K_{T 0} & K_{T 4} \end{matrix})}^{- 1} (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) = \frac{1}{K_{T o} K_{P 4} - K_{P o} K_{T 4}} (\begin{matrix} K_{P 4} & - K_{P o} \\ - K_{T 4} & K_{T o} \end{matrix}) (\begin{array}{l} Δ λ_{o} \\ Δ λ_{4} \end{array}) .

Planar photonic crystal based multifunctional sensors: publisher’s note

Abstract

REFERENCE

Cited By

Equations (2)

Applied Optics