Dielectric polarization

Glazer, A. M.; Cox, K. G.

doi:10.1107/97809553602060000633

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

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International Tables for Crystallography (2006). Vol. D. ch. 1.6, p. 151

Section 1.6.2.2. Dielectric polarization $[\varepsilon_o \chi_{ij}E_j^\omega]$

A. M. Glazer^a ^* and K. G. Cox^b ^‡

^a Department of Physics, University of Oxford, Parks Roads, Oxford OX1 3PU, England, and ^bDepartment of Earth Sciences, University of Oxford, Parks Roads, Oxford OX1 3PR, England
Correspondence e-mail: glazer@physics.ox.ac.uk

1.6.2.2. Dielectric polarization $[\varepsilon_o \chi_{ij}E_j^\omega]$

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Application of an electric field $[\bf E]$ of frequency $[\omega]$ to a crystal results in a polarization response whose size depends on the dielectric susceptibility $[\chi^{(1)}]$ . This is a second-rank tensor that is applicable to all materials, and is often quoted in terms of the dielectric constant $[\varepsilon = \varepsilon_o(1 + \chi)]$ . For electric fields at optical frequencies, the dielectric constant is equal to the square of the refractive index for light propagating in a certain direction and in a particular polarization state. This effect can only be termed optical if the frequency of the electric field lies at optical frequencies. There is no difference between input and output frequencies, and so the susceptibility is written in the form $[\chi_{ij}(\omega; \omega)]$ . Because there is no change in frequency, this is a linear optical effect.

References

International Tables for Crystallography (2006). Vol. D. ch. 1.6, p. 151