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Arcane Magnetics's avatar

Paul, this Q&A series is excellent, thorough and well-structured.

We hope to achieve results for all three tests and then some using a Helmholtz pair of large toroidal vector potential coils. Also I would very much like to be able to model my coil designs in FEA as you described. For the time being I have optimized my coil designs to the best of my ability from a mechanical layout perspective, but there is still much to be done. Such a modification to an EM FEA tool as you described will be essential to reach the next stages of development of an eyebrow-raising wide variety of applications!

Dr. Paul Wilhelm's avatar

Thank you!

Helmholtz pair of toroids gives you uniform A in the test cell while B stays confined to the toroid interiors. Source side and receiver side decoupled by construction. That's the geometry the three-test discriminator wants.

On the FEA side, COMSOL and Ansys Maxwell already solve A as primary internally. The issue is exposing it as a first-class postprocessing variable rather than computing E and B and stopping there. For homemade tooling, MagnetiCalc is the closest open-source baseline I've seen, though it still needs a gauge-relaxed extension to model anything beyond standard transverse predictions.

What's the mechanical layout, and what scale are you targeting?

Ronald G Messick's avatar

Dr. Wilhelm, thank you again for these exceptionally clear engineering-focused installments. Treating gauge freedom as design space rather than redundancy is exactly the shift needed. Your scalar-longitudinal (SL) mode — longitudinal E with B = 0 and real power carried by the generalized Poynting vector — maps directly onto the standing-wave octave electric waves that operate inside the cubic wave field geometry I have been developing. In that framework the SL sector is not an exotic add-on; it is the deterministic geometric mechanism (figure-8 lemniscate, inertial nodes, Gaussian electric pressure ∇·E = 2) that powers virtually everything.

Dr. Paul Wilhelm's avatar

Ron, happy to help!