Test magnetostatic solution: the role of steel in magnet design

To complete our study of the solenoid coil, we’ll proceed to a practical design by adding a magnet-steel shield. Here, the term magnet-steel designates a soft material with high relative permeability. The term soft means that the steel has a narrow hysteresis curve and with little permanent magnetization. In this article, we’ll concentrate on numerical methods [...]

Test magnetostatic solution: boundary effects and automatic operation

The previous article emphasized that finite-element calculations are performed in a finite volume and that conditions on the the boundaries must be specified. We use a Neumann condition (field lines normal to the boundary) along a symmetry plane. An example is one half of a magnetic mirror split at the midplane. Otherwise, the most common boundary [...]

Test magnetostatic solution: simple coil with boundaries

In this article, we’ll advance to 2D magnetostatic solutions using the programs Mesh and PerMag. The previous articles on electrostatics have given background on the basic concepts of FEM calculations and program operation. Therefore, in this lecture and following ones I’ll concentrate on the special features of magnetic field calculations. In preparation, I suggest you try [...]

Aether simulation: heating dielectric samples in a waveguide

Recently I had an inquiry from a user interested in microwave heating of dielectric samples in a air-filled waveguide. The application presented a good opportunity to apply the recently-developed capability for coupling Aether solutions to HeatWave, so I wrote and tested a set of template input files.

In the solution, the sample was suspended at the center [...]

Test electrostatic solution: meshing and accuracy

In this article (the sixth in the online course Electric and magnetic field calculations with finite-element methods), we’ll make several calculations to understand the effect of element size on solution accuracy. To expand our technique toolbox, we’ll automate steps in the analysis procedure.

We’ll continue with the solution discussed in the previous two articles. The best way [...]