Analytic perturbation solution to the capacitance system of a hyberboloidal tip and a rough surface

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Title:	Analytic perturbation solution to the capacitance system of a hyberboloidal tip and a rough surface
Author:	Shen, Yongxing; Barnett, David M.; Pinsky, Peter M.
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
Abstract:	The capacitance system of a hyperboloidal tip and a rough surface is usually encountered in analyzing electrostatic force microscopy images. In this letter, a perturbation approach has been applied to solve for the electric potential of this system, in which the rough surface is treated as perturbation from a flat one. For the first-variation solution, the boundary value problem is represented in the prolate-spheroidal coordinate system and solved in terms of a generalized Fourier series involving conical functions. Based on this solution, the tip-surface Coulombic interaction can be computed. Sample calculations have been applied to sinusoidal surface profiles
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Anàlisi de Fourier -Fourier analysis -Anàlisi matemàtica -42 FOURIER ANALYSIS
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
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