Effect of optical activity on electro-optic measurements in crystals of the potassium dihydrogen phosphate family

2012 ◽  
Vol 45 (5) ◽  
pp. 950-962 ◽  
Author(s):  
Marek Izdebski

Crystals of the potassium dihydrogen phosphate family in their paraelectric phase belong to point group \overline 4 2m, which allows for natural optical activity and electric field-induced optical activity related to the linear and nonlinear electrogyration effects. This work presents a theoretical analysis of the influence of these effects on measurements of the linear, quadratic and fourth-order electro-optic coefficients. Both the polarimetric technique and a method based on Michelson interferometry are considered. A number of configurations of the light path and the electric field directions were analyzed, and it was found that the influence, when it appears, is usually negligibly small. Thus, no previously reported experimental data need a new interpretation. However, in future measurements of some effective coefficients of the quadratic electro-optic effect using the dynamic polarimetric technique, the contribution of the quadratic electrogyration may no longer be negligible after improving the resolution from 10−21to 10−22 m2 V−2. This work also shows that the quadratic electrogyration described by the β31coefficient may be decoupled from the linear and quadratic electro-optic effects in measurements performed by the polarimetric method.

2019 ◽  
Vol 52 (1) ◽  
pp. 158-167 ◽  
Author(s):  
Marek Izdebski

In this paper, a method of measuring the β31 coefficient of the quadratic electrogyration effect in potassium dihydrogen phosphate (KDP)-type crystals is proposed. It is shown that this very weak effect can be decoupled from other stronger effects occurring simultaneously in the real measuring system, even when small inaccuracies in crystal cutting and alignment are taken into account. Theoretical and numerical analyses are illustrated by experimental data obtained for the KDP crystal. High sensitivity, which is required for successful measurements at room and higher temperatures, has been achieved by using the polarimetric method for a light beam propagating along the optical axis of the crystal in combination with the lock-in technique and a new measurement procedure that compensates for the contribution of other effects such as electro-optic effects, natural birefringence and dichroism. It was found that the β31 coefficient measured at a wavelength of 632.8 nm decreases linearly from 2.53 × 10−21 m2 V−2 at a temperature of 298 K to 2.08 × 10−21 m2 V−2 at 343 K.


Ammonium dihydrogen phosphate (NH 4 H 2 PO 4 ), potassium dihydrogen phosphate (KH 2 PO 4 ) and quartz each have two independent, nonzero, optical rectification coefficients. Measurements of various ratios among these coefficients are described. The uncertainty of ± 6%, achieved in the most favourable case, represents improvement by a factor of 8 over previous relative measurements of optical rectification coefficients by Bass, Franken & Ward (1965). The signs of the coefficients are determined directly for the first time. Improved accuracy makes possible a more stringent test of the theoretical relation between linear electro-optic and optical rectification coefficients which was pointed out by Armstrong, Bloembergen, Ducuing & Pershan (1962) and studied in more detail by Ward & Franken (1964). The data for NH 4 H 2 PO 4 and KH 2 PO 4 are consistent with this relation. It is thought that apparent discrepancies in the case of quartz, where the data are less accurate, are probably explained otherwise than by the breakdown of the relation. The temperature dependences in the range +20 to —120°C of both optical rectification coefficients in KH 2 PO 4 are investigated and interpreted in terms of local field factors. Optical rectification data and other data from the literature for NH 4 H 2 PO 4 , KH 2 PO 4 and quartz are discussed in relation to Kleinman’s symmetry conditions and quantum mechanical expressions for the nonlinear coefficients to yield information on the nature of the underlying processes.


2010 ◽  
Vol 49 (4) ◽  
pp. 042602 ◽  
Author(s):  
Yasuki Takeuchi ◽  
Akira Yoshida ◽  
Shigeki Tokita ◽  
Masayuki Fujita ◽  
Junji Kawanaka

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