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Classical linear crystal optics
International Tables for Crystallography (2013). Vol. D, ch. 1.6, pp. 153-180 [ doi:10.1107/97809553602060000905 ]
... is the unit vector in the propagation direction, then and G represents the magnitude of the gyration vector. Thus, Consequently, if ... knows the direction of propagation inside the crystal, the coefficient G can be calculated via and then the optical rotatory power ... millimetre. According to the way in which the sign of G has been defined here, a positive value of means ...
The acousto-optic effect
International Tables for Crystallography (2013). Vol. D, Section 1.6.7.3, pp. 178-179 [ doi:10.1107/97809553602060000905 ]
The acousto-optic effect 1.6.7.3. The acousto-optic effect The acousto-optic effect (Sapriel, 1976) is really a variant of the elasto-optic effect, in that the strain field is created by the passage of a sound wave through the crystal. If this wave has frequency , the resulting polarization in the ...
[more results from section 1.6.7 in volume D]
Example of LiNbO3
International Tables for Crystallography (2013). Vol. D, Section 1.6.6.2, pp. 175-176 [ doi:10.1107/97809553602060000905 ]
Example of LiNbO3 1.6.6.2. Example of LiNbO3 In order to understand how tensors can be used in calculating the optical changes induced by an applied electric field, it is instructive to take a particular example and work out the change in refractive index for a given electric field. LiNbO3 is the ...
[more results from section 1.6.6 in volume D]
Optical rotation perpendicular to the optic axis of a uniaxial crystal
International Tables for Crystallography (2013). Vol. D, Section 1.6.5.6, pp. 173-175 [ doi:10.1107/97809553602060000905 ]
... benzil. J. Phys. D Appl. Phys. 24, 1187-1192. Szivessy, G. & Münster, C. (1934). Über die Prüfung der ...
[more results from section 1.6.5 in volume D]
Dispersion
International Tables for Crystallography (2013). Vol. D, Section 1.6.4.16, p. 169 [ doi:10.1107/97809553602060000905 ]
Dispersion 1.6.4.16. Dispersion Dispersion, that is to say variation of refractive index depending on wavelength, is a common phenomenon in crystals, and occasionally an important aid in identification. In extreme cases, it results in the production of highly anomalous polarization colours, often browns, blue greys or brownish purples, or bright colours ...
[more results from section 1.6.4 in volume D]
The dielectric impermeability tensor
International Tables for Crystallography (2013). Vol. D, Section 1.6.3.3, p. 157 [ doi:10.1107/97809553602060000905 ]
The dielectric impermeability tensor 1.6.3.3. The dielectric impermeability tensor It has been seen how the refractive indices can be described in a crystal in terms of an ellipsoid, known as the indicatrix. Thus for orthogonal axes chosen to coincide with the ellipsoid axes, one can write where , and . One can ...
[more results from section 1.6.3 in volume D]
Linear acousto-optic effect
International Tables for Crystallography (2013). Vol. D, Section 1.6.2.13, p. 155 [ doi:10.1107/97809553602060000905 ]
Linear acousto-optic effect 1.6.2.13. Linear acousto-optic effect In the acousto-optic effect, the applied stress is at an acoustic frequency , i.e. the relevant susceptibility is . Thus a sound wave passing through an acousto-optic crystal modulates the refractive index via A beam of light of frequency passing through ...
[more results from section 1.6.2 in volume D]
Introduction
International Tables for Crystallography (2013). Vol. D, Section 1.6.1, p. 153 [ doi:10.1107/97809553602060000905 ]
Introduction 1.6.1. Introduction The field of classical crystal optics is an old one, and in the last century, in particular, it was the main subject of interest in the study of crystallography. Since the advent of X-ray diffraction, however, crystal optics tended to fall out of widespread use, except perhaps ...
Glossary
International Tables for Crystallography (2013). Vol. D, Section 1.6.8, p. 179 [ doi:10.1107/97809553602060000905 ]
... ith component of electric field , ijth component of gyration tensor G gyration vector third-rank optical gyration susceptibility H magnetic field ... free space ijth component of dielectric tensor ellipticity of wave k wavevector of light propagating in crystal () wavelength of light vacuum ...
International Tables for Crystallography (2013). Vol. D, ch. 1.6, pp. 153-180 [ doi:10.1107/97809553602060000905 ]
... is the unit vector in the propagation direction, then and G represents the magnitude of the gyration vector. Thus, Consequently, if ... knows the direction of propagation inside the crystal, the coefficient G can be calculated via and then the optical rotatory power ... millimetre. According to the way in which the sign of G has been defined here, a positive value of means ...
The acousto-optic effect
International Tables for Crystallography (2013). Vol. D, Section 1.6.7.3, pp. 178-179 [ doi:10.1107/97809553602060000905 ]
The acousto-optic effect 1.6.7.3. The acousto-optic effect The acousto-optic effect (Sapriel, 1976) is really a variant of the elasto-optic effect, in that the strain field is created by the passage of a sound wave through the crystal. If this wave has frequency , the resulting polarization in the ...
[more results from section 1.6.7 in volume D]
Example of LiNbO3
International Tables for Crystallography (2013). Vol. D, Section 1.6.6.2, pp. 175-176 [ doi:10.1107/97809553602060000905 ]
Example of LiNbO3 1.6.6.2. Example of LiNbO3 In order to understand how tensors can be used in calculating the optical changes induced by an applied electric field, it is instructive to take a particular example and work out the change in refractive index for a given electric field. LiNbO3 is the ...
[more results from section 1.6.6 in volume D]
Optical rotation perpendicular to the optic axis of a uniaxial crystal
International Tables for Crystallography (2013). Vol. D, Section 1.6.5.6, pp. 173-175 [ doi:10.1107/97809553602060000905 ]
... benzil. J. Phys. D Appl. Phys. 24, 1187-1192. Szivessy, G. & Münster, C. (1934). Über die Prüfung der ...
[more results from section 1.6.5 in volume D]
Dispersion
International Tables for Crystallography (2013). Vol. D, Section 1.6.4.16, p. 169 [ doi:10.1107/97809553602060000905 ]
Dispersion 1.6.4.16. Dispersion Dispersion, that is to say variation of refractive index depending on wavelength, is a common phenomenon in crystals, and occasionally an important aid in identification. In extreme cases, it results in the production of highly anomalous polarization colours, often browns, blue greys or brownish purples, or bright colours ...
[more results from section 1.6.4 in volume D]
The dielectric impermeability tensor
International Tables for Crystallography (2013). Vol. D, Section 1.6.3.3, p. 157 [ doi:10.1107/97809553602060000905 ]
The dielectric impermeability tensor 1.6.3.3. The dielectric impermeability tensor It has been seen how the refractive indices can be described in a crystal in terms of an ellipsoid, known as the indicatrix. Thus for orthogonal axes chosen to coincide with the ellipsoid axes, one can write where , and . One can ...
[more results from section 1.6.3 in volume D]
Linear acousto-optic effect
International Tables for Crystallography (2013). Vol. D, Section 1.6.2.13, p. 155 [ doi:10.1107/97809553602060000905 ]
Linear acousto-optic effect 1.6.2.13. Linear acousto-optic effect In the acousto-optic effect, the applied stress is at an acoustic frequency , i.e. the relevant susceptibility is . Thus a sound wave passing through an acousto-optic crystal modulates the refractive index via A beam of light of frequency passing through ...
[more results from section 1.6.2 in volume D]
Introduction
International Tables for Crystallography (2013). Vol. D, Section 1.6.1, p. 153 [ doi:10.1107/97809553602060000905 ]
Introduction 1.6.1. Introduction The field of classical crystal optics is an old one, and in the last century, in particular, it was the main subject of interest in the study of crystallography. Since the advent of X-ray diffraction, however, crystal optics tended to fall out of widespread use, except perhaps ...
Glossary
International Tables for Crystallography (2013). Vol. D, Section 1.6.8, p. 179 [ doi:10.1107/97809553602060000905 ]
... ith component of electric field , ijth component of gyration tensor G gyration vector third-rank optical gyration susceptibility H magnetic field ... free space ijth component of dielectric tensor ellipticity of wave k wavevector of light propagating in crystal () wavelength of light vacuum ...
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