Near Spherical Magrid

[rjaypeters]

Single-coil octahedral spherized:



Notes: I cheated on the tighter bends by purely projecting the filets for the "straight" octahedral pipes onto the sphere. Looks okay, though. Also, I used a corrected octahedron for the projection.

[Will]

So is there any possibility of modeling the magnetic field distribution all these whacky coil shaped would produce?

[KitemanSA]

Single-coil octahedral spherized:
....

Beauteous!

Could you do it again with a gap of about 1/8th a pipe diameter?

So is there any possibility of modeling the magnetic field distribution all these whacky coil shaped would produce?

Yes.

Oh, you mean "how could I go about modeling?"... Well, I would suggest that you either get a copy of MatLab, or check out Indrek's site (location is or was in his profile) and download the free software he uses (Octave?). Then download the program that he wrote in MatLab/Octave and modify it so that the model reflects the magnets shown. Run it, then plot it. Not sure that Octave can plot it but...

Either that or you can download any of a number of 3D Magneto-Static field analysers (some nice ones availble in demo form for free, and use them.

If you have access to a college then maybe they will have one for use by their students.

Oh. Maybe you can get the folk at Sydney U to do it.

Other suggestions anyone?

Good luck!

[rjaypeters]

Could you do it again with a gap of about 1/8th a pipe diameter?

Yes. Pipe diameter = 0.2m => gap = 25mm. Take a little while. I'll actually have to think about it.

[D Tibbets]

Could you do it again with a gap of about 1/8th a pipe diameter?

Yes. Pipe diameter = 0.2m => gap = 25mm. Take a little while. I'll actually have to think about it.

Actually, a gap of ~ 5-10 mm would be closer to the separation desired based on the several gyroradii of the electrons at perhaps 20-50,000 KeV energies. This would be independant of the overall size of the magrid (provided the structure can withstand the large magnetic field repulsions between the magnets at these short distances).

Dan Tibbets

[rjaypeters]

...Just draw the original 4 grid bowed magrids like you did initially for this thread, remove two of them and stretch the remaining two to compensate.

Prototype "Tibbets two-coil":



Notes: 1. Coil close approach is 9mm.

2. My first posting of the four-coil design exaggerated the extremities of the bows. These don't. You might like the exaggerated look better, but the above are mapped onto a sphere as shown.

[rjaypeters]

Prototype Tibbets two-coil mapped to 1.1 to 1 prolate spheroid:



Comparison of sphere and prolate spheroid coils:



Notes: 1. Coil close approach is 9mm.

2. 1.1 to 1 ratio comes from a fuzzy memory of requested ratio.

[rjaypeters]

Single coil octahedral spherized with 8mm coil close approach:

[KitemanSA]

Magnifique!

[ladajo]

These are goinng to make for some interesting looking spikey balls. I may also surmise that some, like the two coil, will result in larger required chamber sizes as a results.

[rjaypeters]

Tibbets four coil on prolate spheroid:



Notes: Majority of coil separation is 6mm. Close approach at corners is .216 m.

[rjaypeters]

Tibbets four-coil (redux):



Notes: Majority of coil separation is 6mm. Close approach at corners is ~.216 m.

[KitemanSA]

Tibbets four-coil (redux):

Are these all supposed to be "North In" or do they alternate In-Out?

Dan?

[rjaypeters]

These are D Tibbets' idea (I just make the pretty pictures for these). I'm sure the answer is in his writings, but I don't have the time to read them now and give an answer.

[rjaypeters]

I call these "Wigglers." This one is parallel-meridian: