Generalization of the Second Order Vector Potential Formulation for Arbitrary Non-Orthogonal Curvilinear Coordinates Systems from the Covariant Form of Maxwells EquationsReportar como inadecuado




Generalization of the Second Order Vector Potential Formulation for Arbitrary Non-Orthogonal Curvilinear Coordinates Systems from the Covariant Form of Maxwells Equations - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

A great number of semi-analytical models, notably the representation of electromagnetic fields by integral equations are based on the second order vector potential SOVP formalism which introduces two scalar potentials in order to obtain analytical expressions of the electromagnetic fields from the two potentials. However, the scalar decomposition is often known for canonical coordinate systems. This paper aims in introducing a specific SOVP formulation dedicated to arbitrary non-orthogonal curvilinear coordinates systems. The electromagnetic field representation which is derived in this paper constitutes the key stone for the development of semi-analytical models for solving some eddy currents moelling problems and electromagnetic radiation problems considering at least two homogeneous media separated by a rough interface. This SOVP formulation is derived from the tensor formalism and Maxwell’s equations written in a non-orthogonal coordinates system adapted to a surface characterized by a 2D arbitrary aperiodic profile.

KEYWORDS

Second Order Vector Potential SOVP; Curvilinear Coordinate System; Eddy Current Non-Destructive Testing ECNDT

Cite this paper

D. Prémel -Generalization of the Second Order Vector Potential Formulation for Arbitrary Non-Orthogonal Curvilinear Coordinates Systems from the Covariant Form of Maxwell-s Equations,- Journal of Electromagnetic Analysis and Applications, Vol. 4 No. 10, 2012, pp. 400-409. doi: 10.4236-jemaa.2012.410055.





Autor: Denis Prémel

Fuente: http://www.scirp.org/



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