Re: Q: How to plot field lines?

• To: mathgroup at smc.vnet.net
• Subject: [mg27318] Re: Q: How to plot field lines?
• From: Robert <robert.schuerhuber at gmx.at>
• Date: Tue, 20 Feb 2001 03:05:28 -0500 (EST)
• Organization: Vienna University of Technology
• References: <96irfd\$dcr@smc.vnet.net> <HQIj6.5846\$Rl5.43848@ralph.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```
Jens-Peer Kuska wrote:

> Hi,
> the extend graphics packages by Tom Wickham-Jones have
> 2d & 3d fieldlines
>
> http://www.mathsource.com/Content/Enhancements/Graphics/3D/0208-976
>

thanks, i know the package (i have got the book by the author, where the
package is described and also some examples are
given).

the problem is that the package doesn't really do what i want:

(1. there is an error in the package: the lines

t2 = Part[ sol, 1, 0, 1, 2] ;

must be changed to

t2 = Part[ sol, 1, 0, 1, 1, 2] ;)

2. the package does quite ok if the field is rather simple and if there are no
closed field lines.

but even with simple fields having closed lines, e.g. the magnetic field of a
single line current, the program has problems calculating
the field lines.

3. the programs doesn't really plot "field lines", but only gives a
quantitative picture of the field. in a "real" field line picture, you can
imply from the density of the field lines to the absolute value of the local
field vector. since with the package i have to choose the
distance from one line to another by myself, this calculation would have to be
done beforehand (therefore chosing the distance
according to a "constant flux" between two lines), which isn't simple in
general. of course, if i know the vector potential, the field
lines can easily be constructed via a 'contourplot', but i'd been interested
in a program which plots the lines directly from a given
vector field.

i know that this problem isn't an easy task, but i hoped somehow somebody has
solved it before ...

regards, robert

```

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