Trivial question about units (Hans Bethe Small Hole Diffraction)

[PhDeezNutz]

Homework Statement

Just a question about units/convention. In Hans Bethe's paper he says the equivalent electric and magnetic dipoles of a small circular aperture are

$\vec{p} = \frac{1}{3 \pi} a^3 \vec{E}_0$
$\vec{m} = \frac{2}{3 \pi} a^3 \vec{H}_0$

Alternatively Jackson (Section 9.5 Third Edition) (where he references Hans Bethe's paper) contends the equivalent aperture dipoles are

$\vec{p} = \frac{4 \epsilon_0 a^3}{3} \vec{E}_0$
$\vec{m} = \frac{8 a^3}{3} \vec{H}_0$

Relevant Equations

See above

http://www.physics.miami.edu/~curtright/Diffraction/Bethe1944.pdf Hans Bethe's paper

Jackson doesn't take any issue with Hans Bethe's paper as far as I can tell when he references it. That leads me to believe the two sets of dipoles are equivalent and there happens to be an "old school" convention that I am not familiar with. Can anyone inform me?

Thanks in advanced.

 

[hutchphd]

I think it is CGS vs SI and the difference is basically $4\pi\epsilon_0$. You can work out the details it always gets me a headache.

 

[hutchphd]

http://nlpc.stanford.edu/nleht/Science/reference/conversion.pdf