Energy conserving boundary conditions for Maxwell's equations in nonhomogeneous medium
type: Item
instance of: scholarly article
title: Energy conserving boundary conditions for Maxwell's equations in nonhomogeneous medium
zbMATH Open document ID: 0613.73107
author: Włodzimierz Domański
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1986-01-01T00:00:00Z
review text: The boundary conditions for the electromagnetic field can be discussed in terms of the energy balance. By physical reasons it is possible that there is no energy transport across the surface even for nonhomogeneous boundary conditions. In the paper presented here the problem of the electromagnetic field in a nonhomogeneous isotropic linear material with energy conserving boundary conditions is proved to be well-posed. For this purpose an inequality relating suitable weighted norms of the sought field and the given sources (or currents) in the spacial domain and at the surface is derived. The estimate is executed immediately for the simplified problem of the half space.
reviewed by: G.Brunk
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 35B30
zbMATH DE Number: 3993086
zbMATH Keywords: electromagnetic field
zbMATH Keywords: energy balance
zbMATH Keywords: surface
zbMATH Keywords: nonhomogeneous isotropic linear material
zbMATH Keywords: energy conserving boundary conditions
zbMATH Keywords: well-posed
zbMATH Keywords: inequality
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3993086