- #1
PhDeezNutz
- 693
- 440
- 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.
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.