Lim, Mikyoung; Kim, Dohyung; Kim, Sang Youl; Bourée, Jean-Eric Calculation of the local electric field for an infinite array of conducting nanosized objects. (English) Zbl 1106.78003 J. Phys. A, Math. Theor. 40, No. 4, 853-862 (2007). Summary: The electric field for an infinite array of conducting nanosized objects in two-dimensional space has been calculated. The mirror symmetry for this physical problem has been introduced. By taking into account this symmetry, we transform the original problem into an infinite two-dimensional array of nanosized objects with the same solution. The electric field equation of the model has been successfully constructed using a single-layer potential of the periodic Green function. The electric field operator has been introduced. This mathematical approach yields a solution for determining the optimum structure of nanosized electronic devices such as carbon nanotube-based field emitters. MSC: 78A30 Electro- and magnetostatics Keywords:nanotube; periodic Green function; mirror symmetry PDFBibTeX XMLCite \textit{M. Lim} et al., J. Phys. A, Math. Theor. 40, No. 4, 853--862 (2007; Zbl 1106.78003) Full Text: DOI