Corrigendum: Plasmonic cloaking of cylinders: finite length, oblique illumination and cross-polarization coupling (2010 New J. Phys. 12 103028)

Andrea Alù; Aaron Kerkhoff; David Rainwater

doi:10.1088/1367-2630/18/10/109501

In our paper [1], a minor misprint occurs in equations (3) and (4). In the element in the fourth row, second column of the determinants in these equations, ${k}^{{\rm{T}}}$ inside the parenthesis should be replaced by ${k}_{c}^{{\rm{T}}},$ and in the element in the fourth row, fourth column, ${k}_{c}^{{\rm{T}}}$ inside the parenthesis should be replaced by ${k}_{0}^{{\rm{T}}}.$ The correct expressions for the determinants are:

$\begin{eqnarray}{U}_{n}^{{\rm{T}}{\rm{M}}}=\left|\begin{array}{cccc}{J}_{n}({k}^{{\rm{T}}}a) & {J}_{n}({k}_{c}^{{\rm{T}}}a) & {Y}_{n}({k}_{c}^{{\rm{T}}}a) & 0\\ \displaystyle \frac{k}{\eta {k}^{{\rm{T}}}}{J}_{n}^{\prime }({k}^{{\rm{T}}}a) & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{J}_{n}^{\prime }({k}_{c}^{{\rm{T}}}a) & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{Y}_{n}^{\prime }({k}_{c}^{{\rm{T}}}a) & 0\\ 0 & {J}_{n}({k}_{c}^{{\rm{T}}}{a}_{c}) & {Y}_{n}({k}_{c}^{{\rm{T}}}{a}_{c}) & {J}_{n}({k}_{0}^{{\rm{T}}}{a}_{c})\\ 0 & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{J}_{n}^{\prime }({k}_{c}^{T}{a}_{c}) & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{Y}_{n}^{\prime }({k}_{c}^{{\rm{T}}}{a}_{c}) & \displaystyle \frac{{k}_{0}}{{\eta }_{0}{k}_{0}^{{\rm{T}}}}{J}_{n}^{\prime }({k}_{0}^{{\rm{T}}}{a}_{c})\end{array}\right|\end{eqnarray} \tag{ 3 }$

$\begin{eqnarray}{V}_{n}^{{\rm{T}}{\rm{M}}}=\left|\begin{array}{cccc}{J}_{n}({k}^{{\rm{T}}}a) & {J}_{n}({k}_{c}^{{\rm{T}}}a) & {Y}_{n}({k}_{c}^{{\rm{T}}}a) & 0\\ \displaystyle \frac{k}{\eta {k}^{{\rm{T}}}}{J}_{n}^{\prime }({k}^{{\rm{T}}}a) & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{J}_{n}^{\prime }({k}_{c}^{{\rm{T}}}a) & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{Y}_{n}^{\prime }({k}_{c}^{{\rm{T}}}a) & 0\\ 0 & {J}_{n}({k}_{c}^{{\rm{T}}}{a}_{c}) & {Y}_{n}({k}_{c}^{{\rm{T}}}{a}_{c}) & {Y}_{n}({k}_{0}^{{\rm{T}}}{a}_{c})\\ 0 & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{J}_{n}^{\prime }({k}_{c}^{{\rm{T}}}{a}_{c}) & \displaystyle \frac{{k}_{c}}{{\eta }_{c}{k}_{c}^{{\rm{T}}}}{Y}_{n}^{\prime }({k}_{c}^{{\rm{T}}}{a}_{c}) & \displaystyle \frac{{k}_{0}}{{\eta }_{0}{k}_{0}^{{\rm{T}}}}{Y}_{n}^{\prime }({k}_{0}^{{\rm{T}}}{a}_{c})\end{array}\right|,\end{eqnarray} \tag{ 4 }$

This misprint does not affect any result and conclusion in the paper, since all the reported numerical results were calculated using the correct expressions.

We would like to thank A Rezaei and F Mohajeri, Shiraz University, Iran, to bring these two typos to our attention.

Corrigendum: Plasmonic cloaking of cylinders: finite length, oblique illumination and cross-polarization coupling (2010 New J. Phys. 12 103028)

Article metrics

Share this article

Dates