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1.4: The Auxiliary Fields D and H

( \newcommand{\kernel}{\mathrm{null}\,}\)

It is sometimes useful to rewrite Maxwell’s equations (1.2.1 to 1.2.4 in terms of E, B, and two new vector fields Dand H. These two new vectors are constructed as follows:

D=ϵ0E+P

and

B=μ0(H+M)

When written using these two new fields Maxwell’s equations become

curl(E)=Btdiv(B)=0curl(H)=Jf+Dtdiv(D)=ρf

Maxwell’s equations have a simpler form when written in this way, and may in consequence be easier to remember. Their physical content is, of course, unaltered by the introduction of the two new auxiliary fields D and H.


This page titled 1.4: The Auxiliary Fields D and H is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by John F. Cochran and Bretislav Heinrich.

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