Nano and Quantum Optics by Ulrich Hohenester

Nano and Quantum Optics by Ulrich Hohenester

Author:Ulrich Hohenester
Language: eng
Format: epub, pdf
ISBN: 9783030305048
Publisher: Springer International Publishing


(11.35)

where η is a vector perpendicular to the edge. u(s ±) are the values of the vector field at the two adjacent sides of the edge. Equation (11.35) states that the flux (in the direction of η) of the tangential field u leaving one triangle must equal the flux entering the neighbor triangle. For the surface current distribution of Eq. (9.​58) this means that no singular line-charge distribution builds up at the edges.

Fig. 11.9Raviart–Thomas basis elements. (a) Each edge has two neighbor triangles and , situated left and right of the (oriented) edge. In the shape functions originate from the vertex , located oppositely to the edge and flow towards the edge. In they flow in the opposite direction. The vector functions are defined such that the flow leaving triangle equals the flow entering triangle . (b) Schematics for application of the two-dimensional Gauss’ theorem. A is the domain enclosing the edge, with a height h → 0, and η is a vector perpendicular to the edge. For details see text



Download



Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.