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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor.author	Shen, Yongxing
dc.contributor.author	Barnett, David M.
dc.contributor.author	Pinsky, Peter M.
dc.date	2008
dc.identifier.citation	Shen, Y.; Barnett, D.; Pinsky, P. M. Analytic perturbation solution to the capacitance system of a hyberboloidal tip and a rough surface. "Applied physics letters", 2008, vol. 92, núm. 13.
dc.identifier.citation	0003-6951
dc.identifier.citation	10.1063/1.2906487
dc.identifier.uri	http://hdl.handle.net/2117/14590
dc.language.iso	eng
dc.relation	http://cataleg.upc.edu/record=b1213777~S1*cat
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Anàlisi de Fourier
dc.subject	Fourier analysis
dc.subject	Anàlisi matemàtica
dc.subject	42 FOURIER ANALYSIS
dc.title	Analytic perturbation solution to the capacitance system of a hyberboloidal tip and a rough surface
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.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
dc.description.abstract	Peer Reviewed

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