1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Uniaxial crystal D direction

  1. Oct 21, 2011 #1
    1. The problem statement, all variables and given/known data

    Here you will calculate the direction of energy flow in a uniaxial crystal. The crystal has dielectric constant [tex] \varepsilon [/tex] in the x and y directions and [tex] \varepsilon_z [/tex] in the z direction.

    (a) Assume the wavevector makes an angle [tex] \theta [/tex] relative the z-axis of the crystal. What is the angle of the D vector with respect to this axis? Now, use the inverse of the dielectric tensor to obtain the direction of E from the direction of D.


    2. Relevant equations


    3. The attempt at a solution

    [tex] \varepsilon = \begin{bmatrix}
    \varepsilon & 0 & 0 \\
    0 & \varepsilon & 0 \\
    0 & 0 & \varepsilon_z
    \end{bmatrix} [/tex]

    [tex] \begin{bmatrix}
    D_x\\
    D_y\\
    D_z\\

    \end{bmatrix} = \begin{bmatrix}
    \varepsilon & 0 & 0 \\
    0 & \varepsilon & 0 \\
    0 & 0 & \varepsilon_z
    \end{bmatrix}
    \begin{bmatrix}
    E_x\\
    E_y\\
    E_z
    \end{bmatrix} [/tex]

    And I know that birefringe causes the wave to separate such that:

    [tex] D_e [/tex] is in the y-z plane perpendicular to S, the poynting vector and [tex] D_0 [/tex] is parallel to x-axis.

    Can you give me some hints or reading materials as to solving the problem? Thank you.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Uniaxial crystal D direction
  1. 2-d Diffraction (Replies: 0)

  2. Atoms in a crystal (Replies: 0)

Loading...