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This page is unusable in its present form because the mathematical formulae have failed to format properly. For example:
<quote> Plane waves
The plane sinusoidal solution for an electromagnetic wave traveling in the z direction is (cgs units and SI units)
Failed to parse (Can't write to or create math output directory): \mathbf{E} ( \mathbf{r} , t ) = \begin{pmatrix} E_x^0 \cos \left ( kz-\omega t + \alpha_x \right ) \\ E_y^0 \cos \left ( kz-\omega t + \alpha_y \right ) \\ 0 \end{pmatrix} = E_x^0 \cos \left ( kz-\omega t + \alpha_x \right ) \hat {\mathbf{x}} \; + \; E_y^0 \cos \left ( kz-\omega t + \alpha_y \right ) \hat {\mathbf{y}}
for the electric field and
Failed to parse (Can't write to or create math output directory): \mathbf{B} ( \mathbf{r} , t ) = \hat { \mathbf{z} } \times \mathbf{E} ( \mathbf{r} , t ) = \begin{pmatrix} -E_y^0 \cos \left ( kz-\omega t + \alpha_y \right ) \\ E_x^0 \cos \left ( kz-\omega t + \alpha_x \right ) \\ 0 \end{pmatrix} = -E_y^0 \cos \left ( kz-\omega t + \alpha_y \right ) \hat {\mathbf{x}} \; + \; E_x^0 \cos \left ( kz-\omega t + \alpha_x \right ) \hat {\mathbf{y}}
for the magnetic field, where k is the wavenumber,
Failed to parse (Can't write to or create math output directory): \omega_{ }^{ } = c k
is the angular frequency of the wave, and Failed to parse (Can't write to or create math output directory): c
is the speed of light. The hats on the vectors indicate unit vectors in the x, y, and z directions. </quote>
If some knowledgeable person could fix the problem, the intended readers would appreciate it.
67.142.130.18 17:46, 17 May 2007 (UTC)
