Publication

Mixed Potentials for Planar Multilayered Structures Including Conductive Interfaces

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis
2014
Conference Papers

Abstract

A complete and automatized strategy has been developed to derive the Vector and Scalar Potential Green’s Functions (GFs) of planar multilayered structures that include conductive sheets. The propagator matrix technique is enhanced to include conductive sheets and the connection to the Mixed Potential GFs through the normal components of the Field GFs is developed. Finally, an example including a graphene sheet validates the proposed procedure through a comparison with results in the literature.

Official source

https://infoscience.epfl.ch/entities/publication/bd546f29-45af-4034-9c66-35f4d6a89454

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Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis
2014
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/bd546f29-45af-4034-9c66-35f4d6a89454

About this result

Related concepts (32)

Connection form

In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically, connection forms were introduced by Élie Cartan in the first half of the 20th century as part of, and one of the principal motivations for, his method of moving frames. The connection form generally depends on a choice of a coordinate frame, and so is not a tensorial object.

Connection (mathematics)

In geometry, the notion of a connection makes precise the idea of transporting local geometric objects, such as tangent vectors or tensors in the tangent space, along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve.

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In mathematics, and especially differential geometry and gauge theory, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. A principal G-connection on a principal G-bundle P over a smooth manifold M is a particular type of connection which is compatible with the action of the group G. A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection.

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