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Using improved impedance boundary conditions to derive distributions of electromagnetic fields

Apanasewicz S., Pawłowski S.

Journal of Technical Physics

2000

Vol. 41, no 2

159-171

In this paper the improved boundary condition of impedance type the harmonic low-frequency electromagnetic field calculation is presented. It is based on the application of successive approximations in two-dimensional case. As an illustration of the presented method the calculation of electromagnetic field in the neighbourhood of metallic wall is given. A comparison of approximate solutions with the exact one is done (Figs. 3-8).

Fourth boundary condition for electromagnetic field

Spałek D.

Journal of Technical Physics

2000

Vol. 41, no 2

129-144

The paper deals with the problem of boundary condition formulation for an electromagnetic field. The nonlinear boundary condition has been proposed. This condition has been introduced on the basis of Maxwell's equations. The nonlinear condition includes three well-known boundary conditions of Dirichlet, Neumann and Hankel. An example has been provided to show the usefulness of the boundary condition proposed. The fourth boundary condition enables us to reduce the region of numerical analysis.

Third boundary condition formulation for electromagnetic field problems

Spałek D.

Journal of Technical Physics

1999

Vol. 40, no 2

209-221

The paper deals with the problem of formulation of Hankel's boundary condition for an electromagnetic field (the so-called third condition). In comparison to the heat transfer and the temperature distribution problems, this condition for electromagnetic field problems should be introduced by means of a more complicated procedure. Indeed, Hankel's condition for the temperature field problems can be easily derived from the convection principle. An analogous principle which may lead in such a simple way to Hankel's boundary condition does not exist for the electromagnetic field problems. Hankel's condition has been formulated for several shapes of the boundary surface by means of the field analysis. An example which emphasises the importance of this problem has been provided.