Define a conicity as the deflection angle $\kappa$ of the gravity center of scalar beam, passing through CRE. It is calculated by

\begin{displaymath} tg(\kappa) = \frac{\Lambda}{d_{z}} \end{displaymath}

where $\Lambda$ and $d_{z}$ are the CRE Lambda-parameter and length.

Thus defined, the conicity could be associated with the apex semiangle A of the hollow cone of a beam spreading within the CRE. As predicted by Hamilton, in terms of eigenvalues of the dielectric tensor the angle A is

\begin{displaymath}tg(2A) = \sqrt{\frac{(\varepsilon_{1} - \varepsilon_{2})(\varepsilon_{2} - \varepsilon_{3})}{\varepsilon_{1}\varepsilon_{3}}} \end{displaymath}

There is not categorical experimental confirmation that the conicity $\kappa$ and the semiangle A are equal.


May 24, 2006
Author: T Kirilov