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Rotate in spherical coordinates

  1. Nov 11, 2007 #1
    Hello !

    In electromagnetics, the electric field of a small dipole in a spherical[tex](r,\theta,\phi)[/tex] coordinate system is
    [tex]E(\theta)=A\cdot \frac{e^{-jkr}}{r}\sin(\phi)\hat\phi[/tex]

    If the dipole is directed along the z-axis. (I used this geometry: http://mathworld.wolfram.com/SphericalCoordinates.html. Sometimes [tex]\theta[/tex] and [tex]\phi[/tex] are swapped.)

    A is just a constant number.

    My question is now: What if I want to know the field of a dipole, which is directed along the y-axis, or any axis? Is it possible to rotate [tex]E(\theta)[/tex] to make it point in any direction?

  2. jcsd
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