Alternate expression for Maxwell's Equations

[jimhalpert]

Hello,

I'm prepping for a course I'm about to take and on the pre-course syllabus it said I should be able to:

"Derive the equations for E and H fields in terms of magnetic current source M."

It's been a long time since I've had an EM course, so I'm naturally lost. How would I go about doing this?

 

[vanhees71]

I don't know what a "magnetic current source" might be. If it's simply magnetization, the Ampere-Maxwell Law reads (in Heaviside-Lorentz units)

$$\vec{\nabla} \times \vec{H} - \frac{1}{c} \frac{\partial \vec{D}}{\partial t} = \vec{j} + \vec{\nabla} \times \vec{M}.$$

If you have a model with magnetic monopoles, have a look in the usual standard textbooks like Jackson or Schwinger.