Case III: Suppose that $\u03f5a$, $\u03f5b$, and $\u03f5c$ are all dissimilar, but $\gamma \u02dc=0$. Then the material in $Vin$ is a homogeneous anisotropic dielectric material and the TISS are absent. Calculations then show the following symmetries: Display Formula
$Rss(\theta ,\psi )=Rss(\theta ,\psi +\pi ),Rpp(\theta ,\psi )=Rpp(\theta ,\psi +\pi )Rps(\theta ,\psi )=Rsp(\theta ,\psi +\pi )\u22620,Tps(\theta ,\psi )=Tsp(\theta ,\psi )\u22620}.$(24)
While both $Rss$ and $Rpp$ are left/right symmetric, both $Tss$ and $Tpp$ are not. Furthermore, as $Rps(\theta ,\psi )\u2260Rsp(\theta ,\psi )$ and $Tps(\theta ,\psi )\u2260Tsp(\theta ,\psi +\pi )$, it follows that all cross-polarized remittances are left/right asymmetric. In summary, the following inequalities are entirely due to anisotropy: Display Formula$Rps(\theta ,\psi )\u2260Rps(\theta ,\psi +\pi ),Rsp(\theta ,\psi )\u2260Rsp(\theta ,\psi +\pi )Tss(\theta ,\psi )\u2260Tss(\theta ,\psi +\pi ),Tpp(\theta ,\psi )\u2260Tpp(\theta ,\psi +\pi )Tps(\theta ,\psi )\u2260Tps(\theta ,\psi +\pi ),Tsp(\theta ,\psi )\u2260Tsp(\theta ,\psi +\pi )}.$(25)