Erratum to “Computational approaches for plasmonics” [Handbook of Molecular Plasmonics, ed. Della Sala F. and D’Agostino S., Pan Stanford Publishing, Singapore, pp.83–135 (2013)] Maxim A. Yurkina,b a

Voevodsky Institute of Chemical Kinetics and Combustion SB RAS, Institutskaya Str. 3, 630090 Novosibirsk, Russia b Novosibirsk State University, Pirogova Str. 2, 630090 Novosibirsk, Russia [email protected] In the following I correct several errors in chapter [1], two of which propagated from a previous publication [2], which has been recently corrected [3]. I tried to use the same style for symbols in equations, but some differences are still noticeable. In particular, double-strike Greek symbols (α and χ) are replaced by bold ones. First, there was a sign error in Eq. (2.9) – it should read 𝕃(𝜕𝑉0 , 𝐫) = � d2 𝑟 ′ 𝜕𝑉0

�′𝐑 𝐧 . 𝑅3

(2.9)

Second, there were errors in the description of the weighted discretization. The multiplier of 𝔾𝑠𝑠 in the second integral in Eq. (2.78) should be corrected, leading to � 0 (𝐫𝑖 , 𝐫 ′ ) − 𝔾𝑠𝑠 (𝐫𝑖 , 𝐫 ′ )� 𝜒� 𝑝 � 𝑒𝑖 𝛘�𝑒𝑖 = � d3 𝐫 ′ �𝔾 𝕄 𝑖 𝑝

𝑉𝑖

𝑝

� 0 (𝐫𝑖 , 𝐫 ′ )𝜒�𝑖𝑠 𝕋 � 𝑖 − 𝔾𝑠𝑠 (𝐫𝑖 , 𝐫 ′ )𝜒�𝑖 �. + � d3 𝐫 ′ �𝔾 𝑉𝑖𝑠

(2.78)

Moreover, the statement on the second line after this equation was imprecise. More specifically, Eq. (2.22) needs to be changed into � 𝑒𝑖 𝛘�𝑒𝑖 )�−1 � 𝑖 = 𝑉𝑑 𝛘�𝑒𝑖 �𝕀 + (𝕃𝑖 𝜒�𝑖 − 𝕄 𝛂

to accommodate the weighted discretization, which follows from Eq. (E1) of [3]. Finally, the original Eq. (2.22) also contained a typo – 𝜒� should be changed into 𝜒�𝑖 . Another

typo was on line 25 of p. 96 – |𝑛�|2 should be changed into 𝑛�2 .

References

1. M. A. Yurkin, "Computational approaches for plasmonics," in Handbook of Molecular Plasmonics, F. Della Sala and S. D’Agostino, eds. (Pan Stanford Publishing, 2013), pp. 83–135. 2. M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis," J. Opt. Soc. Am. A 23, 2578–2591 (2006). 3. M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, "Convergence of the discrete dipole approximation. I. Theoretical analysis: erratum," J. Opt. Soc. Am. A 32, 2407–2408 (2015). completed on February 22, 2016