Optical indicatrix
In optics, an index ellipsoid is a diagram of an ellipsoid that depicts the orientation and relative magnitude of refractive indices in a crystal .
The equation for the ellipsoid is constructed using the electric displacement vector D and the dielectric constants. Defining the field energy W as
8\pi W= \frac{D^2_1}{\varepsilon_1} + \frac{D^2_2}{\varepsilon_2} + \frac{D^2_3}{\varepsilon_3}.
and the reduced displacement as
R_i= \frac{D_i}{\sqrt{8\pi W}},
then the index ellipsoid is defined by the equation
\frac{R_1^2}{\varepsilon_1} + \frac{R_2^2}{\varepsilon_2} + \frac{R_3^2}{\varepsilon_3} = 1.
The semiaxes of this ellipsoid are dielectric constants of the crystal.
This ellipsoid can be used to determine the polarization of an incoming wave with wave vector \vec s by taking the intersection of the plane \vec R \cdot \vec s =0 with the index ellipsoid. The axes of the resulting ellipse are the resulting polarization directions.

This is an excerpt from the article Optical indicatrix from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Optical indicatrix at en.wikipedia.org was accessed 14 times in the last 30 days. (as of: 11/02/2013)
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Optic Indicatrix - Rock Library | Imperial College London
An Optical indicatrix is a geometrical figure constructed to show the refractive indexes of a mineral in any direction and the vibration directions of light passing ...
www2.imperial.ac.uk/earthscienceandengineering/rocklibrary/viewglossrecord.php?gID=00000000024
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Uniaxial Indicatrix
The indicatrix is a geometric figure, constructed so that the indices of ... For optically negative minerals the X indicatrix axis corresponds to the optic axis and the ...
www.brocku.ca/earthsciences/people/gfinn/optical/unindctx.htm
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Optical indicatrix - The Free Dictionary
n. 1. (Geom. of Three Dimensions) A certain conic section supposed to be drawn in the tangent plane to any surface, and used to determine the accidents of ...
www.thefreedictionary.com/Optical+indicatrix
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The Optical Indicatrix - And Why I Love It So Much
The Optical indicatrix - And Why I Love It So Much. by David Barnett. When light goes through a crystal. Of an anisotropic kind. It's split two ways, one ray goes ...
bullard.esc.cam.ac.uk/~barnett/poems/opticindic.html
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The Indicatrix - University of Wisconsin - Green Bay
Feb 22, 2005 ... We could describe optical phenomena equally well in terms of either the ... Therefore, every indicatrix has at least one optic axis, and every ...
www.uwgb.edu/dutchs/Petrology/Indicatrix.HTM
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Biaxial optical indicatrix
Biaxial Optical indicatrix: two optic axes ópticos. In the crystals belonging to the Orthorhombic, Monoclinic and Triclinic systems, the section perpendicular to axis  ...
edafologia.ugr.es/optmine/intro/indibiaw.htm
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OPTICAL MINERALOGY - University of Idaho
crystallographic axes and Optical indicatrix. pleochroism: The property of exhibiting different colors as a function of the vibration direction. principal refractive.
www.webpages.uidaho.edu/~mgunter/opt_min/article.pdf
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DoITPoMS - TLP Library Introduction to Anisotropy - Optical anisotropy
Optical anisotropy and the Optical indicatrix. In transparent materials with anisotropic dielectric permittivity, important optical effects can be observed. Recall that ...
www.doitpoms.ac.uk/tlplib/anisotropy/optical.php
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Optical indicatrix in science
Optical Mineralogy and Petrography - SERC
Optical Mineralogy -- Greg Finn, Brock University; a complete set of lecture notes ... from the Indicatrix Movies activity page) -- David Hirsch, Western Washington ...
2P22 Optical Mineralogy - Brock University
(NOTE: The background image is a block diagram of hornblende showing the relationship between the crystallographic axes, the indicatrix axes and the optic ...
[PDF]OPTICAL MINERALOGY - University of Idaho
crystallographic axes and Optical indicatrix. pleochroism: The property of exhibiting different colors as a function of the vibration direction. principal refractive.
Introduction to Uniaxial Minerals - Tulane University
Oct 25, 2010 ... Uniaxial Minerals, Uniaxial Indicatrix, Optic Sign, & Ray Path ... They are called uniaxial because they have a single optic axis. Light traveling ...
The optical indicatrix and the transmission of light ... - Internet Archive
The Optical indicatrix and the transmission of light in crystals (1892). Author: Fletcher, L. (Lazarus), Sir ... Digitizing sponsor: University of British Columbia Library
The optical indicatrix and the transmission of light ... - Internet Archive
The Optical indicatrix and the transmission of light in crystals (1892) ... Book digitized by Google from the library of the University of California and uploaded to  ...
DoITPoMS - TLP Library Introduction to Anisotropy - Optical anisotropy
Skip to content. University of Cambridge ... The semi-axes of this Optical indicatrix are directly proportional to the principal refractive indices. Optically isotropic ...
Introduction to Optical Mineralogy - Oxford University Press
Interaction of Light and Matter Transmitted Light Velocity Index of Refraction Reflection Critical Angle and Total Internal Reflection Optical Class Optical indicatrix
[PDF]MINERALOGY.1 Fletcher. The Optical Indicatrix and the ... - Jstor
The surface of elasticity he proposes to call the Optical indicatrix. The wave surface of ... 1 Edited by Dr. Wm. H. Hobbs, University of Wisconsin, Madison, Wis .
Books on the term Optical indicatrix
Optical Physics
Optical Physics
2010
This fourth edition of a well-established textbook takes students from fundamental ideas to the most modern developments in optics. Illustrated with 400 figures, it contains numerous practical examples, many from student laboratory experiments and lecture demonstrations. Aimed at undergraduate and advanced courses on modern optics, it is ideal for ...
Handbook of Optical Materials
Handbook of Optical Materials
Marvin J. Weber, 2002
The index of refraction of such crystals varies according to the vibration direction of the light; the Optical indicatrix is no longer a sphere but an ellipsoid. Depending on the geometry of the ellipsoid, it is necessary to divide the class of the ...
Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley Series in Pure and Applied Optics...
Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley Series in Pure and Applied Optics...
Amnon Yariv, 1983
Describes how laser radiation propagates in natural and artificial materials and how the state of radiation can be controlled and manipulated (phase intensity, polarization) by various means. New concepts and useful techniques are described in the problems. Includes many figures, tables, and examples.
Fundamentals Of Optical, Spectroscopic And X-Ray Mineralogy
Fundamentals Of Optical, Spectroscopic And X-Ray Mineralogy
Sachinath Mitra, 1996
2.7 Optical indicatrix Optical indicatrix is a solid-geometrical representation of the relationship between the crystal symmetry and refractive indices. The refractive indices in different directions, drawn as radii, define the surface of an ...
Fundamentals of Optical Fiber Sensors (Wiley Series in Microwave and Optical Engineering)
Fundamentals of Optical Fiber Sensors (Wiley Series in Microwave and Optical Engineering)
2012
This book describes the latest development in optical fiber devices, and their applications to sensor technology. Optical fiber sensors, an important application of the optical fiber, have experienced fast development, and attracted wide attentions in basic science as well as in practical applications. Sensing is often likened to human sense organs...
Minerals: Their Constitution and Origin
Minerals: Their Constitution and Origin
Hans-Rudolf Wenk, Andrei Bulakh, 2004
Rotational ellipsoid Table 9.2 Summary of conventions for describing the indicatrix Identification. c(Z,ny) b(X.na) Sphere (a) (h) (c) Optical indicatrix for different symmetries, (a) Sphere in cubic crystals, (b) Rotational "uniaxial" ellipsoid in ...
Optical Applications of Liquid Crystals (Series in Optics and Optoelectronics)
Optical Applications of Liquid Crystals (Series in Optics and Optoelectronics)
L Vicari, 2003
In recent years, there has been increasing activity in the research and design of optical systems based on liquid crystal (LC) science. Bringing together contributions from leading figures in industry and academia, Optical Applications of Liquid Crystals covers the range of existing applications as well as those in development. Unique in its thorou...
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Optical indicatrix
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