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Em wave incident on a surface current

  1. Nov 17, 2012 #1
    Consider an infinite sheet of surface current described by the surface current density , K=dI/dl, where dl is a length element perpendicular to the current.

    For this sheet, the magnetic field B=μK/2, above and below the sheet, independent of the distance from the sheet, where μ is for free free space.
    The dirction of B is parallel to the sheet and perpendicular to the current flow.

    Now if a plane em wave approaches such a surface, does the B vector of the em wave always satisfy the above equation, independent of seperation from the sheet?

    I doubt so, since the magnitude of the B vector of the em wave depends on the source of the wave.

    But if B vector of em wave doesnt satisfy the eq. B=μK/2, then B has values different from this value, above and below the sheet, which would be inconsistent with the amperes law, using which B=μK/2 has been derived for the sheet in the first place.

    Where am i going wrong ??
  2. jcsd
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