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Corrigendum: Thermal invisibility based on scattering cancellation and mantle cloaking M. Farhat, P.-Y. Chen, H. Bagci, C. Amra, S. Guenneau & A. Alù Scientific Reports 5:9876; doi: 10.1038/srep09876; published online 30 April 2015; updated on 21 January 2016 This Article contains errors. In the Results section under subheading ‘Scattering cancellation technique for heat diffusion waves: static regime’ “For r → ∞, T (r > a2 ) = − (Q / κ 0 ) r cos θ, therefore E1 = − Q / κ 0 and all the other coefficients E l ≠1 are zero.” should read: / κ0 ) r cos θ with Q = − κ0 (T 2 − T 1)/ L the heat generated by unit surface and “For r → ∞, T (r > a2 ) = − (Q unit time, in contrast to Q, of Eqs (1)–(2) that represents the heat generated by unit volume and unit time. / κ0 and all the other coefficients E l ≠1 are zero.” Therefore E1 = − Q
In Equation (6), 1 κ1 0 0
1
1 / a13
A1 0 0 B1 0 = 1 / a23 C1 Q / κ 0 2κ 0 / a23 D1 Q
1 / a13
A1 0 0 B1 0 = − 1 / a23 C1 − Q / κ0 2κ0 / a23 D1 − Q
κ 2 − 2κ 2 / a13 1 1 / a23 κ 2 − 2κ 2 / a23
0
should read: −1 − κ1 0 0
1
κ2 − 2κ2 / a13 1 1 / a23 κ2 − 2κ2 / a23
0
And lastly, in Equation (7)
D1 =
Q (κ0 − κ2 )(κ1 + 2κ2 − γ 3 (κ1 − κ2 )(κ0 + 2κ2 )) =0 2κ0 γ 3 (κ0 − κ2 )(κ1 − κ2 ) − (2κ0 + κ2 )(κ1 + 2κ2 )
D1 =
(κ0 − κ2 )(κ1 + 2κ2 − γ 3 (κ1 − κ2 )(κ0 + 2κ2 )) Q =0 2κ0 γ 3 (κ0 − κ2 )(κ1 − κ2 ) − (2κ0 + κ2 )(κ1 + 2κ2 )
should read:
Scientific Reports | 6:19321 | DOI: 10.1038/srep19321
1
www.nature.com/scientificreports/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
Scientific Reports | 6:19321 | DOI: 10.1038/srep19321
2
OPEN
Corrigendum: Thermal invisibility based on scattering cancellation and mantle cloaking M. Farhat, P.-Y. Chen, H. Bagci, C. Amra, S. Guenneau & A. Alù Scientific Reports 5:9876; doi: 10.1038/srep09876; published online 30 April 2015; updated on 21 January 2016 This Article contains errors. In the Results section under subheading ‘Scattering cancellation technique for heat diffusion waves: static regime’ “For r → ∞, T (r > a2 ) = − (Q / κ 0 ) r cos θ, therefore E1 = − Q / κ 0 and all the other coefficients E l ≠1 are zero.” should read: / κ0 ) r cos θ with Q = − κ0 (T 2 − T 1)/ L the heat generated by unit surface and “For r → ∞, T (r > a2 ) = − (Q unit time, in contrast to Q, of Eqs (1)–(2) that represents the heat generated by unit volume and unit time. / κ0 and all the other coefficients E l ≠1 are zero.” Therefore E1 = − Q
In Equation (6), 1 κ1 0 0
1
1 / a13
A1 0 0 B1 0 = 1 / a23 C1 Q / κ 0 2κ 0 / a23 D1 Q
1 / a13
A1 0 0 B1 0 = − 1 / a23 C1 − Q / κ0 2κ0 / a23 D1 − Q
κ 2 − 2κ 2 / a13 1 1 / a23 κ 2 − 2κ 2 / a23
0
should read: −1 − κ1 0 0
1
κ2 − 2κ2 / a13 1 1 / a23 κ2 − 2κ2 / a23
0
And lastly, in Equation (7)
D1 =
Q (κ0 − κ2 )(κ1 + 2κ2 − γ 3 (κ1 − κ2 )(κ0 + 2κ2 )) =0 2κ0 γ 3 (κ0 − κ2 )(κ1 − κ2 ) − (2κ0 + κ2 )(κ1 + 2κ2 )
D1 =
(κ0 − κ2 )(κ1 + 2κ2 − γ 3 (κ1 − κ2 )(κ0 + 2κ2 )) Q =0 2κ0 γ 3 (κ0 − κ2 )(κ1 − κ2 ) − (2κ0 + κ2 )(κ1 + 2κ2 )
should read:
Scientific Reports | 6:19321 | DOI: 10.1038/srep19321
1
www.nature.com/scientificreports/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
Scientific Reports | 6:19321 | DOI: 10.1038/srep19321
2
