Mikyoung Lim et al 2007 J. Phys. A: Math. Theor. 40 853 doi:10.1088/1751-8113/40/4/018
Mikyoung Lim1, Dohyung Kim2, Sang Youl Kim3 and Jean-Eric Bourée2
Show affiliationsThe 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.
41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems
Issue 4 (26 January 2007)
Received 6 June 2006, in final form 7 November 2006
Published 9 January 2007
Mikyoung Lim et al 2007 J. Phys. A: Math. Theor. 40 853
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