The dielectric impermeability tensor
Glazer, A. M. and
Cox, K. G.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.6.3.3,
p.
[ doi:10.1107/97809553602060000905 ]
...
The optical indicatrix
Glazer, A. M. and
Cox, K. G.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.6.3.2,
p.
[ doi:10.1107/97809553602060000905 ]
to the axis. Then, using (
1.6.3.11), it is seen that and Substituting into equation (
1.6.3.14) yields Solving this for the eigenvalues n gives as one solution and as the other. This latter solution can be rewritten ...
Linear optics
Glazer, A. M. and
Cox, K. G.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.6.3,
p.
[ doi:10.1107/97809553602060000905 ]
with equation (
1.6.3.1), the fundamental equation of linear crystal optics is found: where I is the unit matrix.
1.6.3.2. The optical indicatrix
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Equation (
1.6.3.14) is the relevant starting point ...
The fundamental equation of crystal optics
Glazer, A. M. and
Cox, K. G.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.6.3.1,
p.
[ doi:10.1107/97809553602060000905 ]
It is customary at this point to assume that the crystal is non-magnetic, so that, where is the vacuum magnetic permeability. If plane-wave solutions of the form are substituted into equations (
1.6.3.3) and (
1.6.3.4), the following results ...
