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I am trying to re-derive, or should I say modify, the existing theory of classical electromagnetism by postulating the existence of magnetic monopoles. Where should I begin?

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- Thread starter spaghetti3451
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In summary, magnetic monopoles postulate the existence of charges that have a magnetic field only and that interact with electric fields. Duality allows for the replacement of electric fields with magnetic fields in differential equations, which can simplify calculations.f

- #1

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I am trying to re-derive, or should I say modify, the existing theory of classical electromagnetism by postulating the existence of magnetic monopoles. Where should I begin?

- #2

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Allowing for magnetic currents is often done in computations because the behavior of magnetic currents is like the "dual" of the electric currents. For example, I can excite the same electromagnetic wave from a given electric current by a magnetic current. The magnetic and electric currents will be related to each other along the lines of the curl operator. So a linear dipole electric current is equivalent to a loop of magnetic current and vice-versa. This can allow us to more easily express the excitations of a field using magnetic currents.

Weng Cho Chew's "Waves and Fields in Inhomogeneous Media" discusses duality but many electrical engineering texts will probably have it (more so if they deal with computational methods or antennas since magnetic currents often arise in those subjects).

- #3

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[tex]-\nabla \times E - \frac{\partial B}{\partial t} = J_{magnetic}[/tex]

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