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Homework Help: Interpreting ##\hat{e}_z## in Maxwell's equations

  1. May 11, 2016 #1
    Hi, I'm trying to interpret a form of Maxwell's equations, but I can't seem to figure out where the term $\^{e}_z$ comes from in the following equation:
    \frac{\partial{\vec{E}_t}}{\partial{z}}+i\frac{\omega}{c}\hat{e}_z\times \vec{B}_t=\vec{\nabla}_tE_z
  2. jcsd
  3. May 11, 2016 #2

    Paul Colby

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    This is a guess because more background on the source of this equation is needed. My guess is that the problem being worked is assuming a plane wave field dependence?
  4. May 12, 2016 #3
    Will you please clarify the notations? What does ##t## stand for?
  5. May 12, 2016 #4


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    It comes from taking the curl of the B field (here they are assuming a plane wave). But the equation is not completely correct, the term on the rhs does not make any sense.
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