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出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2014/02/18 09:23:07」(JST)
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In optics, an index ellipsoid is a diagram of an ellipsoid that depicts the orientation and relative magnitude of refractive indices in a crystal .[1]
The equation for the ellipsoid is constructed using the electric displacement vector D and the dielectric constants. Defining the field energy W as
and the reduced displacement as
then the index ellipsoid is defined by the equation
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 by taking the intersection of the plane with the index ellipsoid. The axes of the resulting ellipse are the resulting polarization directions.
Contents
- 1 Indicatrix
- 2 Notes
- 3 References
- 4 See also
Indicatrix[edit]
An important special case of the index ellipsoid occurs when the ellipsoid is an ellipsoid of revolution, i.e. constructed by rotating an ellipse around either the minor or major axis, when two axes are equal and a third is different. In this case, there is only one optical axis, the axis of rotation, and the material is said to be uniaxial. When all axes of the index ellipsoid are equal, the material is isotropic. In all other cases, in which the ellipsoid has three distinct axes, the material is called biaxial.
Notes[edit]
- ^ Zernike, Frits (1973). Applied Nonlinear Optics. John Wiley and Sons. p. 10.
References[edit]
- Yariv, Amnon (2003). "Chapter 4. Electromagnetic Propagation in Anisotropic Materials". Optical Waves in Crystals. Hoboken, NJ: John Wiley and Sons.
See also[edit]
English Journal
- Ultrasonic pulse velocity for the evaluation of physical and mechanical properties of a highly porous building limestone.
- Vasanelli E1, Colangiuli D1, Calia A2, Sileo M1, Aiello MA3.
- Ultrasonics.Ultrasonics.2015 Jul;60:33-40. doi: 10.1016/j.ultras.2015.02.010. Epub 2015 Feb 23.
- UPV as non-destructive technique can effectively contribute to the low invasive in situ analysis and diagnosis of masonry elements related to the conservation, rehabilitation and strengthening of the built heritage. The use of non-destructive and non-invasive techniques brings all the times many adv
- PMID 25769219
- Probing hydrogen bond interactions in a shear thickening polysaccharide using nonlinear shear and extensional rheology.
- Jaishankar A1, Wee M2, Matia-Merino L2, Goh KK2, McKinley GH3.
- Carbohydrate polymers.Carbohydr Polym.2015 Jun 5;123:136-45. doi: 10.1016/j.carbpol.2015.01.006. Epub 2015 Jan 12.
- Mamaku gum is a polysaccharide extracted from the fronds of the black tree fern found in New Zealand. The cooked pith has traditionally been used for various medicinal purposes and as a food source by the Ma¯ori people of New Zealand. It has potential applications as a thickener in the food industr
- PMID 25843844
- Mechanical and microstructural investigation of the cyclic behavior of human amnion.
- Perrini M, Mauri A, Ehret AE, Ochsenbein-Kölble N, Zimmermann R, Ehrbar M, Mazza E.
- Journal of biomechanical engineering.J Biomech Eng.2015 Jun 1;137(6). doi: 10.1115/1.4030054. Epub 2015 Apr 15.
- The structural and mechanical integrity of amnion is essential to prevent preterm premature rupture (PPROM) of the fetal membrane. In this study, the mechanical response of human amnion to repeated loading and the microstructural mechanisms determining its behavior were investigated. Inflation and u
- PMID 25780908
Japanese Journal
- Mizukami Shigemi,Sakuma Akimasa,Sugihara Atsushi,Kubota Takahide,Kondo Yukio,Tsuchiura Hiroki,Miyazaki Terunobu
- Applied Physics Express 6(12), 123002-123002-4, 2013-12-25
- … First-principles calculation of D0<inf>22</inf>Mn<inf>3</inf>Ge shows a fully spin-polarized \Delta_{1} band at the Fermi level, low saturation magnetization M_{\text{S}}=180 emu/cm<sup>3</sup>, high uniaxial magnetic anisotropy K_{\text{u}}=23 Merg/cm<sup>3</sup>, and low Gilbert damping \alpha=9\times 10^{-4}. …
- NAID 150000107811
- 一軸偏心を有する鋼構造ラーメン骨組の弾塑性挙動と形状係数
- C-Axis-Oriented Hydroxyapatite Film Grown Using ZnO Buffer Layer
- Sakoishi Yasuhiro,Iguchi Ryo,Nishikawa Hiroaki,Hontsu Shigeki,Hayami Takashi,Kusunoki Masanobu
- Applied Physics Express 6(11), 115501-115501-3, 2013-11-25
- … ZnO was used as a template to obtain a hexagonal hydroxyapatite crystal of uniaxial orientation. …
- NAID 150000107966
Related Links
- uniaxialとは。意味や和訳。[形]1 1つの軸をもった；《結晶》一軸性の.2 《植物》単茎の.ugrave;ni・axial・ly[副] - goo辞書は国語、英和、和英、中国語、百科事典等からまとめて探せる辞書検索サービスです。
- u·ni·ax·i·al / ˌyu niˈæk si əl / Show Spelled [yoo-nee-ak-see-uh l] Show IPA adjective 1. having one axis. 2. Crystallography. (of a crystal) having one direction in which double refraction does not occur. 3. Botany. (of a plant) having a ...
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