Part 1 : Nanoparticles Module 3 : Dielectric properties of materials
Lecture 4 : Multiple oscillator model for Lattice vibrations
 
Consider now the special case where $\vec q$ is along one of the principal axes, say, the $x$-axis. Then if MATH is referred to principal axis, these equations reduce to
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and
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If $\epsilon_3\ne 0$, then $E_{oz}=0$, i.e., the wave is transverse, the remaining component having the solutions,
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so that the plane wave can propagate along the $z$-axis without a change in polarization if they are either $x$-polarized or $y$-polarized. The complex refractive indices for these two types of waves are different
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