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Homework Help: Non Linear Optics (tensors)

  1. Jun 11, 2007 #1
    1. The problem statement, all variables and given/known data
    a) What does the tensor nature of susceptibility mean? Ie. the [tex] xxxx [/tex] in:
    [tex] \overline{P}=\epsilon_0\chi_{xxxx}\overline{E} [/tex]

    b) What does the 3 vertical dots mean in: [tex] \chi^{(2)}\vdots\overline{E} [/tex]?

    3. The attempt at a solution
    a) I understand that [tex] \overline{P}=\epsilon_0\chi_{xx}\overline{E} [/tex] means the first x corresponds to the component of P and the second x relates to the polarization of the Electric Field. But what do the other x's mean?

    b) No clue...
    Last edited: Jun 11, 2007
  2. jcsd
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