The Optical Indicatrix And the Transmission of Light in Crystals

Cover The Optical Indicatrix And the Transmission of Light in Crystals
The Optical Indicatrix And the Transmission of Light in Crystals
L Lazarus Fletcher
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Also (Article 27), there are two corresponding front-normals Ofi, 0/ 2, lying in the planes OrH lt Orl? 2, and perpendicular to OE lt OR& respectively. But we have seen that in the case of a bi-radial Os lt every point S on the conjugate section corresponds to a ray transmissible along that direction with the velocity b. Further, Os l is not an axis of the indicatrix, and thus is only coincident with the corresponding central normal On for the two rays transmissible in the direction Os^ which c...orrespond to the two points B, B t in which the axis BOB meets the conjugate section.
]\r If M"M' (Fig. J. 7) be the right circular cylinder touching the indicatrix in the curve MSM, in which the plane conjugate to the bi-radial 0^ meets the indicatrix, and M'S'M' be a basal section perpendicular to the axis, the front-normal On, corresponding to any point S on the curve, is in the plane 88' s 1 passing through the axis of the cylinder, and is at right angles to OS. Hence, as the point S moves round the curve MB SI, the corresponding normal On describes a cone of which the bi-radial 0^ is an edge, for it corresponds to the points B, ff, on the curve : the cone may be conveniently designated a bi-radial cone.


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