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

International Tables for Crystallography (2006). Vol. D, ch. 2.4, p. 330

Section 2.4.3.2. Coupling via the electro-optic effect

R. Vachera* and E. Courtensa

aLaboratoire des Verres, Université Montpellier 2, Case 069, Place Eugène Bataillon, 34095 Montpellier CEDEX, France
Correspondence e-mail:  rene.vacher@ldv.univ-montp2.fr

2.4.3.2. Coupling via the electro-optic effect

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Piezoelectric media also exhibit an electro-optic effect linear in the applied electric field or in the field-induced crystal polarization. This effect is described in terms of the third-rank electro-optic tensor r defined by [({\Delta \kappa ^{- 1}})_{ij} = r_{ijm}E_m. \eqno (2.4.3.8)]Using the same approach as in (2.4.2.10)[link], for long waves [E{_m}] can be expressed in terms of [S_{k\ell }], and (2.4.3.8)[link] leads to an effective Pockels tensor [{\bf p}{^e}] accounting for both the piezo-optic and the electro-optic effects: [p_{ijk\ell }^e = p_{ijk\ell } - {{r_{ijm}e_{nk\ell }\hat Q_m \hat Q_n }\over {\varepsilon _{gh}\hat Q_g \hat Q_h }}. \eqno (2.4.3.9)]The total change in the inverse dielectric tensor is then [({\Delta \kappa ^{- 1}})_{ij} = ({p_{ijk\ell }^e + p_{ij[{k\ell }]}}){{\partial u_k }\over {\partial x_\ell }}= p'_{ijk\ell }{{\partial u_k }\over {\partial x_\ell }}. \eqno (2.4.3.10)]The same equation (2.4.3.7)[link] applies.








































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