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geoscixyz / em

Electromagnetic methods in geophysics - open educational resources.
http://em.geosci.xyz
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dipole solutions - coordinate free mathematical statement #488

Open lheagy opened 7 years ago

lheagy commented 7 years ago

Right now, the solutions for dipoles in homogeneous media are stated as in Ward and Hohmann, with the coordinates laid out and a specific orientation selected. This is valuable, but personally, I find the more compact solution in which the dipole moment is treated as a vector perhaps more enlightening in some cases. This might be worth including - thoughts @dccowan, @sgkang, @dougoldenburg

Or at least spherical coordinates

dccowan commented 7 years ago

That would be nice but the derivation is so much easier to understand as it is written now. We would however make a statement that a change in coordinate system can be used to solve the problem for any orientation.