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In electromagnetic duality, where does this relation come from?

$$\overrightarrow{E} \rightarrow \cos \alpha\overrightarrow{E} - \sin \alpha\overrightarrow{ B}$$ $$\overrightarrow{B} \rightarrow \cos \alpha\overrightarrow{B} + \sin \alpha\overrightarrow{ E}$$ I was familiar with $E \rightarrow B$ and $B \rightarrow -B$ but not with the one above.

Muphrid
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Fluctuations
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    Could you provide more context? For example, where have you seen such a relation? (e.g., book, journal, etc) What is $\alpha$ here? – Kyle Kanos Dec 10 '14 at 17:58
  • Yes of course, http://arxiv.org/abs/hep-th/9506035 p. 1 He said that In ordinary Maxwell spacetime a Hodge duality rotation is an action of SO(2) and then he placed the 2 equations I wrote above @KyleKanos – Fluctuations Dec 10 '14 at 18:08
  • Related: http://physics.stackexchange.com/q/9577/2451 – Qmechanic Dec 10 '14 at 18:26

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