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Indicatrix

# Indicatrix - Indicatrix A geometric figure that shows n and...

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Indicatrix • A geometric figure that shows n and vibration direction for any path of light • Radii of figure parallel vibration direction - length of radii represent the value of n - plots of all possible ray paths generate figure • Primary use is to determine n and vibration directions of slow and fast rays Procedure: (1) Imagine a section through the center of the indicatrix and perpendicular to the wave normal (2) Axes of section are parallel to fast (short axis) and slow (long axis) rays (3) Ray paths of fast and slow are found by constructing tangents parallel to vibration direction Isotropic Indicatrix • Isometric minerals: Unit cell has only one dimension • Minerals have only one index of refractions – Isotropic • Shape of Indicatrix is a sphere • All sections are circles - light not split into two rays - Birefringence is zero

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Uniaxial Indicatrix • Tetragonal and Hexagonal minerals: two dimensions of unit cell (a and c). - high symmetry around c axis • Two values of n’s required to define indicatrix - ellipsoid of revolution with axis of c crystallographic axis - one semiaxis of ellipsoid parallels c = n ε - other semiaxis perpendicular to c = n ϖ - maximum birefringence is positive difference of n ε and n ϖ • Various sections through indicatrix: - Principal sections include C axis, axes are n ϖ and n ε - Random sections
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Indicatrix - Indicatrix A geometric figure that shows n and...

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